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## Chambolle, Antonin

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 Author ID: chambolle.antonin Published as: Chambolle, Antonin; Chambolle, A. External Links: MGP · ORCID · dblp
 Documents Indexed: 120 Publications since 1992, including 1 Book
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#### Co-Authors

 10 single-authored 26 Novaga, Matteo 13 Caselles Costa, Vicent 12 Pock, Thomas 8 Ponsiglione, Marcello 6 Morini, Massimiliano 5 Goldman, Michael 5 Lucier, Bradley J. 4 Bellettini, Giovanni 4 Cremers, Daniel 4 Francfort, Gilles A. 3 Aubert, Gilles 3 Aujol, Jean-François 3 Blanc-Féraud, Laure 3 Conti, Sergio 3 Crismale, Vito 3 Ferrari, Luca Alberto Davide 3 Giacomini, Alessandro 3 Lemenant, Antoine 3 Merlet, Benoît 2 Alter, François 2 Bonnetier, Eric 2 Bourdin, Blaise 2 Cacace, Simone 2 Darbon, Jerome 2 Doveri, Francesco 2 Duval, Vincent 2 Jalalzai, Khalid 2 Levine, Stacey E. 2 Lussardi, Luca 2 Marigo, Jean-Jacques 2 Monneau, Régis 2 Peyré, Gabriel 2 Solci, Margherita 2 Thouroude, Gilles 1 Alouges, François 1 Babadjian, Jean-François 1 Bect, Julien 1 Belahmidi, Abdelmounim 1 Bischof, Horst 1 Boyer, Claire 1 Braides, Andrea 1 Bretin, Elie 1 Briani, Ariela 1 Bungert, Leon 1 Burger, Martin 1 Buzzard, Gregery T. 1 Cagnetti, Filippo 1 Calatroni, Luca 1 Caroccia, Marco 1 Cohen, Jonathan D. 1 Dal Maso, Gianni 1 De Castro, Yohann 1 de Gournay, Frédéric 1 DeSimone, Antonio 1 Desjardins, Benoît 1 DeVore, Ronald A. 1 Dossal, Charles 1 Ehrhardt, Matthias Joachim 1 Esteban, Maria J. 1 Fedeli, Livio 1 Grandmont, Céline 1 Hintermüller, Michael 1 Iurlano, Flaviana 1 Kholmatov, Shokhrukh Yusufovich 1 Lamboley, Jimmy 1 Larsen, Christopher J. 1 Laux, Tim 1 Lee, Namyong 1 Lindgren, Erik 1 Lions, Pierre-Louis 1 Lisini, Stefano 1 Moll, Salvador 1 Orlandi, Giandomenico 1 Pagliari, Valerio 1 Perugini, Matteo 1 Poon, Clarice 1 Rasch, Julian 1 Richtárik, Peter 1 Ruffini, Berardo 1 Rumpf, Martin 1 Santosa, Fadil N. 1 Scardia, Lucia 1 Schnörr, Christoph 1 Schönlieb, Carola-Bibiane 1 Schröder, Peter 1 Slepčev, Dejan 1 Stantejsky, Dominik 1 Steidl, Gabriele 1 Stepanov, Eugene 1 Strekalovskiy, Evgeny 1 Tan, Pauline 1 Vaiter, Samuel 1 Valdinoci, Enrico 1 Weiss, Pierre
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#### Serials

 8 Journal of Mathematical Imaging and Vision 7 Archive for Rational Mechanics and Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Interfaces and Free Boundaries 5 SIAM Journal on Imaging Sciences 4 Numerische Mathematik 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Advances in Calculus of Variations 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 SIAM Journal on Optimization 3 Calculus of Variations and Partial Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 International Journal of Computer Vision 2 Journal of Convex Analysis 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 IEEE Transactions on Image Processing 2 Analysis & PDE 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Mathematical Programming. Series A. Series B 1 Journal of Nonlinear Science 1 Computational Optimization and Applications 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Oberwolfach Reports 1 Handbook of Numerical Analysis 1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 1 Networks and Heterogeneous Media 1 Confluentes Mathematici 1 Journal de l’École Polytechnique – Mathématiques 1 SMAI Journal of Computational Mathematics
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#### Fields

 69 Calculus of variations and optimal control; optimization (49-XX) 49 Partial differential equations (35-XX) 32 Numerical analysis (65-XX) 26 Mechanics of deformable solids (74-XX) 25 Information and communication theory, circuits (94-XX) 23 Computer science (68-XX) 21 Differential geometry (53-XX) 13 Operations research, mathematical programming (90-XX) 9 Real functions (26-XX) 6 Fluid mechanics (76-XX) 5 General and overarching topics; collections (00-XX) 4 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

103 Publications have been cited 3,242 times in 2,002 Documents Cited by Year
A first-order primal-dual algorithm for convex problems with applications to imaging. Zbl 1255.68217
Chambolle, Antonin; Pock, Thomas
2011
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
1997
An algorithm for total variation minimization and applications. Zbl 1366.94048
Chambolle, Antonin
2004
Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage. Zbl 0993.94507
Chambolle, Antonin; DeVore, Ronald A.; Lee, Nam-yong; Lucier, Bradley J.
1998
On the convergence of the iterates of the “fast iterative shrinkage/thresholding algorithm”. Zbl 1371.65047
Chambolle, A.; Dossal, C.
2015
Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate. Zbl 1080.74024
Chambolle, Antonin; Desjardins, Benoît; Esteban, Maria J.; Grandmont, Céline
2005
On the ergodic convergence rates of a first-order primal-dual algorithm. Zbl 1350.49035
Chambolle, Antonin; Pock, Thomas
2016
Design-dependent loads in topology optimization. Zbl 1066.49029
Bourdin, Blaise; Chambolle, Antonin
2003
An introduction to total variation for image analysis. Zbl 1209.94004
Chambolle, Antonin; Caselles, Vicent; Cremers, Daniel; Novaga, Matteo; Pock, Thomas
2010
An introduction to continuous optimization for imaging. Zbl 1343.65064
Chambolle, Antonin; Pock, Thomas
2016
A density result in two-dimensional linearized elasticity, and applications. Zbl 1030.74007
Chambolle, Antonin
2003
Image decomposition into a bounded variation component and an oscillating component. Zbl 1371.94031
Aujol, Jean-François; Aubert, Gilles; Blanc-Féraud, Laure; Chambolle, Antonin
2005
An approximation result for special functions with bounded deformation. Zbl 1084.49038
Chambolle, Antonin
2005
Image segmentation by variational methods: Mumford and Shah functional and the discrete approximations. Zbl 0830.49015
Chambolle, Antonin
1995
Dual norms and image decomposition models. Zbl 1371.94032
Aujol, Jean-François; Chambolle, Antonin
2005
A convex approach to minimal partitions. Zbl 1256.49040
Chambolle, Antonin; Cremers, Daniel; Pock, Thomas
2012
The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2007
An algorithm for mean curvature motion. Zbl 1061.35147
Chambolle, Antonin
2004
On total variation minimization and surface evolution using parametric maximum flows. Zbl 1371.94073
Chambolle, Antonin; Darbon, Jérôme
2009
Finite-differences discretizations of the Mumford-Shah functional. Zbl 0947.65076
Chambolle, Antonin
1999
A characterization of convex calibrable sets in $$\mathbb R^N$$. Zbl 1108.35073
Alter, F.; Caselles, V.; Chambolle, A.
2005
Implementation of an adaptive finite-element approximation of the Mumford-Shah functional. Zbl 0961.65062
Bourdin, Blaise; Chambolle, Antonin
2000
Crystalline mean curvature flow of convex sets. Zbl 1148.53049
Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2006
Global solutions of variational models with convex regularization. Zbl 1202.49031
Pock, Thomas; Cremers, Daniel; Bischof, Horst; Chambolle, Antonin
2010
Nonlocal curvature flows. Zbl 1328.35166
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
2015
A Hölder infinity Laplacian. Zbl 1255.35078
Chambolle, Antonin; Lindgren, Erik; Monneau, Régis
2012
When and how do cracks propagate? Zbl 1371.74016
Chambolle, A.; Francfort, G. A.; Marigo, J.-J.
2009
Anisotropic curvature-driven flow of convex sets. Zbl 1107.35069
Caselles, Vicent; Chambolle, Antonin
2006
Discrete approximation of the Mumford-Shah functional in dimension two. Zbl 0943.49011
Chambolle, Antonin; Dal Maso, Gianni
1999
Crack initiation in brittle materials. Zbl 1138.74042
Chambolle, Antonin; Giacomini, Alessandro; Ponsiglione, Marcello
2008
Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles
2016
Piecewise rigidity. Zbl 1110.74046
Chambolle, Antonin; Giacomini, Alessandro; Ponsiglione, Marcello
2007
Regularity for solutions of the total variation denoising problem. Zbl 1228.94005
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2011
Computing the equilibrium configuration of epitaxially strained crystalline films. Zbl 1001.49017
Bonnetier, E.; Chambolle, A.
2002
Uniqueness of the Cheeger set of a convex body. Zbl 1221.35171
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2007
A density result in $$GSBD^p$$ with applications to the approximation of brittle fracture energies. Zbl 1411.74050
Chambolle, Antonin; Crismale, Vito
2019
Continuity of Neumann linear elliptic problems on varying two-dimensional bounded open sets. Zbl 0901.35019
Chambolle, Antonin; Doveri, Francesco
1997
Revisiting energy release rates in brittle fracture. Zbl 1211.74183
Chambolle, Antonin; Francfort, Gilles A.; Marigo, Jean-Jacques
2010
Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow. Zbl 1084.49003
Alter, F.; Caselles, V.; Chambolle, A.
2005
A relaxation result for energies defined on pairs set-function and applications. Zbl 1149.49017
Braides, Andrea; Chambolle, Antonin; Solci, Margherita
2007
A $$l^{1}$$-unified variational framework for image restoration. Zbl 1098.68728
Bect, Julien; Blanc-Féraud, Laure; Aubert, Gilles; Chambolle, Antonin
2004
Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A.
2018
An upwind finite-difference method for total variation-based image smoothing. Zbl 1213.65030
Chambolle, Antonin; Levine, Stacey E.; Lucier, Bradley J.
2011
Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications. Zbl 06951767
Chambolle, Antonin; Ehrhardt, Matthias J.; Richtárik, Peter; Schönlieb, Carola-Bibiane
2018
The volume preserving crystalline mean curvature flow of convex sets in $$\mathbb R^N$$. Zbl 1178.53066
Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2009
Some remarks on uniqueness and regularity of Cheeger sets. Zbl 1198.49042
Caselles, Vicent; Chambolle, Antonin; Novaga, M.
2010
Geometric properties of solutions to the total variation denoising problem. Zbl 1369.94020
Chambolle, Antonin; Duval, Vincent; Peyré, Gabriel; Poon, Clarice
2017
Continuous limits of discrete perimeters. Zbl 1185.94008
Chambolle, Antonin; Giacomini, Alessandro; Lussardi, Luca
2010
Image decomposition application to SAR images. Zbl 1067.68719
Aujol, Jean-François; Aubert, Gilles; Blanc-Féraud, Laure; Chambolle, Antonin
2003
Interpreting translation-invariant wavelet shrinkage as a new image smoothing scale space. Zbl 1036.68607
2001
Convergence of an algorithm for the anisotropic and crystalline mean curvature flow. Zbl 1116.35074
Chambolle, Antonin; Novaga, Matteo
2006
Approximation of functions with small jump sets and existence of strong minimizers of Griffith’s energy. Zbl 1419.49054
Chambolle, Antonin; Conti, Sergio; Iurlano, Flaviana
2019
Implicit time discretization of the mean curvature flow with a discontinuous forcing term. Zbl 1170.65054
Chambolle, Antonin; Novaga, Matteo
2008
A nonlocal mean curvature flow and its semi-implicit time-discrete approximation. Zbl 1270.35019
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
2012
Time-delay regularization of anisotropic diffusion and image processing. Zbl 1101.68102
Belahmidi, Abdelmounim; Chambolle, Antonin
2005
On representer theorems and convex regularization. Zbl 1423.49036
Boyer, Claire; Chambolle, Antonin; De Castro, Yohann; Duval, Vincent; De Gournay, Frédéric; Weiss, Pierre
2019
$$C^\infty$$ regularity of the free boundary for a two-dimensional optimal compliance problem. Zbl 1026.49031
Chambolle, Antonin; Larsen, Christopher J.
2003
Interaction of a bulk and a surface energy with a geometrical constraint. Zbl 1354.49022
Chambolle, Antonin; Solci, Margherita
2007
A characterization of convex calibrable sets in $$\mathbb R^N$$ with respect to anisotropic norms. Zbl 1144.52002
Caselles, V.; Chambolle, A.; Moll, S.; Novaga, M.
2008
Approximation of the anisotropic mean curvature flow. Zbl 1120.35054
Chambolle, Antonin; Novaga, Matteo
2007
Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem. Zbl 1186.35013
Chambolle, Antonin; Thouroude, Gilles
2009
Existence and uniqueness for a crystalline mean curvature flow. Zbl 1366.53047
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
2017
A remark on accelerated block coordinate descent for computing the proximity operators of a sum of convex functions. Zbl 1416.65170
Chambolle, Antonin; Pock, Thomas
2015
A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085
Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit
2019
Consistency result for a non monotone scheme for anisotropic mean curvature flow. Zbl 1254.35128
Bonnetier, Eric; Bretin, Elie; Chambolle, Antonin
2012
Some results on anisotropic fractional mean curvature flows. Zbl 1380.53070
Chambolle, Antonin; Novaga, Matteo; Ruffini, Berardo
2017
A remark on the anisotropic outer Minkowski content. Zbl 1294.28005
Chambolle, Antonin; Lisini, Stefano; Lussardi, Luca
2014
A uniqueness result in the theory of stereo vision: Coupling shape from shading and binocular information allows unambiguous depth reconstruction. Zbl 0837.35146
Chambolle, Antonin
1994
Total variation in imaging. Zbl 1259.68217
Caselles, V.; Chambolle, A.; Novaga, M.
2011
On the gradient flow of a one-homogeneous functional. Zbl 1238.49015
Briani, Ariela; Chambolle, Antonin; Novaga, Matteo; Orlandi, Giandomenico
2011
Un théorème de $$\Gamma$$-convergence pour la segmentation des signaux. (A $$\Gamma$$-convergence theorem for signal segmentation). Zbl 0772.49010
Chambolle, Antonin
1992
Fine properties of the subdifferential for a class of one-homogeneous functionals. Zbl 1334.49047
Chambolle, Antonin; Goldman, Michael; Novaga, Matteo
2015
Energy release rate for non-smooth cracks in planar elasticity. (Taux de restitution d’énergie pour des fissures non régulières en élasticité plane.) Zbl 1325.74126
Babadjian, Jean-François; Chambolle, Antonin; Lemenant, Antoine
2015
A posteriori error estimates for the effective Hamiltonian of dislocation dynamics. Zbl 1248.65097
Cacace, S.; Chambolle, A.; Monneau, R.
2012
Control of the wave equation by time-dependent coefficients. Zbl 1073.35032
2002
Existence and uniqueness for anisotropic and crystalline mean curvature flows. Zbl 1420.53073
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
2019
Existence and uniqueness for planar anisotropic and crystalline curvature flow. Zbl 1362.53073
Chambolle, Antonin; Novaga, Matteo
2015
Backtracking strategies for accelerated descent methods with smooth composite objectives. Zbl 1427.90215
Calatroni, Luca; Chambolle, Antonin
2019
The stress intensity factor for non-smooth fractures in antiplane elasticity. Zbl 1371.74242
Chambolle, Antonin; Lemenant, Antoine
2013
Convex representation for lower semicontinuous envelopes of functionals in $$L^1$$. Zbl 0977.49007
Chambolle, Antonin
2001
Total roto-translational variation. Zbl 1418.53004
Chambolle, Antonin; Pock, Thomas
2019
Existence of strong solutions to the Dirichlet problem for the Griffith energy. Zbl 1419.49055
Chambolle, Antonin; Crismale, Vito
2019
Regularity for the optimal compliance problem with length penalization. Zbl 1368.49050
Chambolle, Antonin; Lamboley, Jimmy; Lemenant, Antoine; Stepanov, Eugene
2017
Generalized crystalline evolutions as limits of flows with smooth anisotropies. Zbl 1403.53055
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
2019
Minimizing movements of the Mumford and Shah energy. Zbl 0948.35073
Chambolle, Antonin; Doveri, Francesco
1997
Inexact first-order primal-dual algorithms. Zbl 1443.90273
Rasch, Julian; Chambolle, Antonin
2020
Total variation in imaging. 2nd edition. Zbl 1331.68264
Caselles, V.; Chambolle, A.; Novaga, M.
2015
Mean curvature flow with obstacles. Zbl 1252.49072
Almeida, Luis; Chambolle, Antonin; Novaga, M.
2012
The $$\Gamma$$-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension. Zbl 1287.49013
Bellettini, Giovanni; Chambolle, Antonin; Goldman, Michael
2014
Crouzeix-Raviart approximation of the total variation on simplicial meshes. Zbl 07255779
Chambolle, Antonin; Pock, Thomas
2020
Accelerated alternating descent methods for Dykstra-like problems. Zbl 1382.65167
Chambolle, Antonin; Tan, Pauline; Vaiter, Samuel
2017
Mumford-Shah functionals on graphs and their asymptotics. Zbl 1442.49020
Caroccia, Marco; Chambolle, Antonin; Slepčev, Dejan
2020
Representation, relaxation and convexity for variational problems in Wiener spaces. Zbl 1278.49014
Chambolle, A.; Goldman, M.; Novaga, M.
2013
Minimizing movements and level set approaches to nonlocal variational geometric flows. Zbl 1292.35087
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
2013
Convex relaxation of vectorial problems with coupled regularization. Zbl 1298.68288
Strekalovskiy, Evgeny; Chambolle, Antonin; Cremers, Daniel
2014
Plane-like minimizers and differentiability of the stable norm. Zbl 1315.35022
Chambolle, A.; Goldman, M.; Novaga, M.
2014
Pointwise Besov space smoothing of images. Zbl 1454.94011
Buzzard, Gregery T.; Chambolle, Antonin; Cohen, Jonathan D.; Levine, Stacey E.; Lucier, Bradley J.
2019
A maximum principle for order-preserving mappings. (Un principle du maximum pour des opérateurs monotones.) Zbl 0935.47034
1998
Variational approximation of size-mass energies for $$k$$-dimensional currents. Zbl 1437.49061
Chambolle, Antonin; Ferrari, Luca A. D.; Merlet, Benoit
2019
Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations. Zbl 1307.76040
Cacace, S.; Chambolle, A.; DeSimone, A.; Fedeli, L.
2013
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities. Zbl 07374099
Bellettini, Giovanni; Chambolle, Antonin; Kholmatov, Shokhrukh
2021
Inexact first-order primal-dual algorithms. Zbl 1443.90273
Rasch, Julian; Chambolle, Antonin
2020
Crouzeix-Raviart approximation of the total variation on simplicial meshes. Zbl 07255779
Chambolle, Antonin; Pock, Thomas
2020
Mumford-Shah functionals on graphs and their asymptotics. Zbl 1442.49020
Caroccia, Marco; Chambolle, Antonin; Slepčev, Dejan
2020
A density result in $$GSBD^p$$ with applications to the approximation of brittle fracture energies. Zbl 1411.74050
Chambolle, Antonin; Crismale, Vito
2019
Approximation of functions with small jump sets and existence of strong minimizers of Griffith’s energy. Zbl 1419.49054
Chambolle, Antonin; Conti, Sergio; Iurlano, Flaviana
2019
On representer theorems and convex regularization. Zbl 1423.49036
Boyer, Claire; Chambolle, Antonin; De Castro, Yohann; Duval, Vincent; De Gournay, Frédéric; Weiss, Pierre
2019
A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085
Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit
2019
Existence and uniqueness for anisotropic and crystalline mean curvature flows. Zbl 1420.53073
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
2019
Backtracking strategies for accelerated descent methods with smooth composite objectives. Zbl 1427.90215
Calatroni, Luca; Chambolle, Antonin
2019
Total roto-translational variation. Zbl 1418.53004
Chambolle, Antonin; Pock, Thomas
2019
Existence of strong solutions to the Dirichlet problem for the Griffith energy. Zbl 1419.49055
Chambolle, Antonin; Crismale, Vito
2019
Generalized crystalline evolutions as limits of flows with smooth anisotropies. Zbl 1403.53055
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
2019
Pointwise Besov space smoothing of images. Zbl 1454.94011
Buzzard, Gregery T.; Chambolle, Antonin; Cohen, Jonathan D.; Levine, Stacey E.; Lucier, Bradley J.
2019
Variational approximation of size-mass energies for $$k$$-dimensional currents. Zbl 1437.49061
Chambolle, Antonin; Ferrari, Luca A. D.; Merlet, Benoit
2019
Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A.
2018
Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications. Zbl 06951767
Chambolle, Antonin; Ehrhardt, Matthias J.; Richtárik, Peter; Schönlieb, Carola-Bibiane
2018
Geometric properties of solutions to the total variation denoising problem. Zbl 1369.94020
Chambolle, Antonin; Duval, Vincent; Peyré, Gabriel; Poon, Clarice
2017
Existence and uniqueness for a crystalline mean curvature flow. Zbl 1366.53047
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
2017
Some results on anisotropic fractional mean curvature flows. Zbl 1380.53070
Chambolle, Antonin; Novaga, Matteo; Ruffini, Berardo
2017
Regularity for the optimal compliance problem with length penalization. Zbl 1368.49050
Chambolle, Antonin; Lamboley, Jimmy; Lemenant, Antoine; Stepanov, Eugene
2017
Accelerated alternating descent methods for Dykstra-like problems. Zbl 1382.65167
Chambolle, Antonin; Tan, Pauline; Vaiter, Samuel
2017
On the ergodic convergence rates of a first-order primal-dual algorithm. Zbl 1350.49035
Chambolle, Antonin; Pock, Thomas
2016
An introduction to continuous optimization for imaging. Zbl 1343.65064
Chambolle, Antonin; Pock, Thomas
2016
Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles
2016
On the convergence of the iterates of the “fast iterative shrinkage/thresholding algorithm”. Zbl 1371.65047
Chambolle, A.; Dossal, C.
2015
Nonlocal curvature flows. Zbl 1328.35166
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
2015
A remark on accelerated block coordinate descent for computing the proximity operators of a sum of convex functions. Zbl 1416.65170
Chambolle, Antonin; Pock, Thomas
2015
Fine properties of the subdifferential for a class of one-homogeneous functionals. Zbl 1334.49047
Chambolle, Antonin; Goldman, Michael; Novaga, Matteo
2015
Energy release rate for non-smooth cracks in planar elasticity. (Taux de restitution d’énergie pour des fissures non régulières en élasticité plane.) Zbl 1325.74126
Babadjian, Jean-François; Chambolle, Antonin; Lemenant, Antoine
2015
Existence and uniqueness for planar anisotropic and crystalline curvature flow. Zbl 1362.53073
Chambolle, Antonin; Novaga, Matteo
2015
Total variation in imaging. 2nd edition. Zbl 1331.68264
Caselles, V.; Chambolle, A.; Novaga, M.
2015
A remark on the anisotropic outer Minkowski content. Zbl 1294.28005
Chambolle, Antonin; Lisini, Stefano; Lussardi, Luca
2014
The $$\Gamma$$-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension. Zbl 1287.49013
Bellettini, Giovanni; Chambolle, Antonin; Goldman, Michael
2014
Convex relaxation of vectorial problems with coupled regularization. Zbl 1298.68288
Strekalovskiy, Evgeny; Chambolle, Antonin; Cremers, Daniel
2014
Plane-like minimizers and differentiability of the stable norm. Zbl 1315.35022
Chambolle, A.; Goldman, M.; Novaga, M.
2014
The stress intensity factor for non-smooth fractures in antiplane elasticity. Zbl 1371.74242
Chambolle, Antonin; Lemenant, Antoine
2013
Representation, relaxation and convexity for variational problems in Wiener spaces. Zbl 1278.49014
Chambolle, A.; Goldman, M.; Novaga, M.
2013
Minimizing movements and level set approaches to nonlocal variational geometric flows. Zbl 1292.35087
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
2013
Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations. Zbl 1307.76040
Cacace, S.; Chambolle, A.; DeSimone, A.; Fedeli, L.
2013
Existence and qualitative properties of isoperimetric sets in periodic media. Zbl 1292.35005
Chambolle, Antonin; Goldman, Michael; Novaga, Matteo
2013
A convex approach to minimal partitions. Zbl 1256.49040
Chambolle, Antonin; Cremers, Daniel; Pock, Thomas
2012
A Hölder infinity Laplacian. Zbl 1255.35078
Chambolle, Antonin; Lindgren, Erik; Monneau, Régis
2012
A nonlocal mean curvature flow and its semi-implicit time-discrete approximation. Zbl 1270.35019
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
2012
Consistency result for a non monotone scheme for anisotropic mean curvature flow. Zbl 1254.35128
Bonnetier, Eric; Bretin, Elie; Chambolle, Antonin
2012
A posteriori error estimates for the effective Hamiltonian of dislocation dynamics. Zbl 1248.65097
Cacace, S.; Chambolle, A.; Monneau, R.
2012
Mean curvature flow with obstacles. Zbl 1252.49072
Almeida, Luis; Chambolle, Antonin; Novaga, M.
2012
A first-order primal-dual algorithm for convex problems with applications to imaging. Zbl 1255.68217
Chambolle, Antonin; Pock, Thomas
2011
Regularity for solutions of the total variation denoising problem. Zbl 1228.94005
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2011
An upwind finite-difference method for total variation-based image smoothing. Zbl 1213.65030
Chambolle, Antonin; Levine, Stacey E.; Lucier, Bradley J.
2011
Total variation in imaging. Zbl 1259.68217
Caselles, V.; Chambolle, A.; Novaga, M.
2011
On the gradient flow of a one-homogeneous functional. Zbl 1238.49015
Briani, Ariela; Chambolle, Antonin; Novaga, Matteo; Orlandi, Giandomenico
2011
An introduction to total variation for image analysis. Zbl 1209.94004
Chambolle, Antonin; Caselles, Vicent; Cremers, Daniel; Novaga, Matteo; Pock, Thomas
2010
Global solutions of variational models with convex regularization. Zbl 1202.49031
Pock, Thomas; Cremers, Daniel; Bischof, Horst; Chambolle, Antonin
2010
Revisiting energy release rates in brittle fracture. Zbl 1211.74183
Chambolle, Antonin; Francfort, Gilles A.; Marigo, Jean-Jacques
2010
Some remarks on uniqueness and regularity of Cheeger sets. Zbl 1198.49042
Caselles, Vicent; Chambolle, Antonin; Novaga, M.
2010
Continuous limits of discrete perimeters. Zbl 1185.94008
Chambolle, Antonin; Giacomini, Alessandro; Lussardi, Luca
2010
On total variation minimization and surface evolution using parametric maximum flows. Zbl 1371.94073
Chambolle, Antonin; Darbon, Jérôme
2009
When and how do cracks propagate? Zbl 1371.74016
Chambolle, A.; Francfort, G. A.; Marigo, J.-J.
2009
The volume preserving crystalline mean curvature flow of convex sets in $$\mathbb R^N$$. Zbl 1178.53066
Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2009
Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem. Zbl 1186.35013
Chambolle, Antonin; Thouroude, Gilles
2009
Enhancement of blurred and noisy images based on an original variant of the total variation. Zbl 1371.94175
Jalalzai, Khalid; Chambolle, Antonin
2009
Crack initiation in brittle materials. Zbl 1138.74042
Chambolle, Antonin; Giacomini, Alessandro; Ponsiglione, Marcello
2008
Implicit time discretization of the mean curvature flow with a discontinuous forcing term. Zbl 1170.65054
Chambolle, Antonin; Novaga, Matteo
2008
A characterization of convex calibrable sets in $$\mathbb R^N$$ with respect to anisotropic norms. Zbl 1144.52002
Caselles, V.; Chambolle, A.; Moll, S.; Novaga, M.
2008
The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2007
Piecewise rigidity. Zbl 1110.74046
Chambolle, Antonin; Giacomini, Alessandro; Ponsiglione, Marcello
2007
Uniqueness of the Cheeger set of a convex body. Zbl 1221.35171
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2007
A relaxation result for energies defined on pairs set-function and applications. Zbl 1149.49017
Braides, Andrea; Chambolle, Antonin; Solci, Margherita
2007
Interaction of a bulk and a surface energy with a geometrical constraint. Zbl 1354.49022
Chambolle, Antonin; Solci, Margherita
2007
Approximation of the anisotropic mean curvature flow. Zbl 1120.35054
Chambolle, Antonin; Novaga, Matteo
2007
Crystalline mean curvature flow of convex sets. Zbl 1148.53049
Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
2006
Anisotropic curvature-driven flow of convex sets. Zbl 1107.35069
Caselles, Vicent; Chambolle, Antonin
2006
Convergence of an algorithm for the anisotropic and crystalline mean curvature flow. Zbl 1116.35074
Chambolle, Antonin; Novaga, Matteo
2006
Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate. Zbl 1080.74024
Chambolle, Antonin; Desjardins, Benoît; Esteban, Maria J.; Grandmont, Céline
2005
Image decomposition into a bounded variation component and an oscillating component. Zbl 1371.94031
Aujol, Jean-François; Aubert, Gilles; Blanc-Féraud, Laure; Chambolle, Antonin
2005
An approximation result for special functions with bounded deformation. Zbl 1084.49038
Chambolle, Antonin
2005
Dual norms and image decomposition models. Zbl 1371.94032
Aujol, Jean-François; Chambolle, Antonin
2005
A characterization of convex calibrable sets in $$\mathbb R^N$$. Zbl 1108.35073
Alter, F.; Caselles, V.; Chambolle, A.
2005
Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow. Zbl 1084.49003
Alter, F.; Caselles, V.; Chambolle, A.
2005
Time-delay regularization of anisotropic diffusion and image processing. Zbl 1101.68102
Belahmidi, Abdelmounim; Chambolle, Antonin
2005
An algorithm for total variation minimization and applications. Zbl 1366.94048
Chambolle, Antonin
2004
An algorithm for mean curvature motion. Zbl 1061.35147
Chambolle, Antonin
2004
A $$l^{1}$$-unified variational framework for image restoration. Zbl 1098.68728
Bect, Julien; Blanc-Féraud, Laure; Aubert, Gilles; Chambolle, Antonin
2004
Design-dependent loads in topology optimization. Zbl 1066.49029
Bourdin, Blaise; Chambolle, Antonin
2003
A density result in two-dimensional linearized elasticity, and applications. Zbl 1030.74007
Chambolle, Antonin
2003
Image decomposition application to SAR images. Zbl 1067.68719
Aujol, Jean-François; Aubert, Gilles; Blanc-Féraud, Laure; Chambolle, Antonin
2003
$$C^\infty$$ regularity of the free boundary for a two-dimensional optimal compliance problem. Zbl 1026.49031
Chambolle, Antonin; Larsen, Christopher J.
2003
Computing the equilibrium configuration of epitaxially strained crystalline films. Zbl 1001.49017
Bonnetier, E.; Chambolle, A.
2002
Control of the wave equation by time-dependent coefficients. Zbl 1073.35032
2002
Interpreting translation-invariant wavelet shrinkage as a new image smoothing scale space. Zbl 1036.68607
2001
Convex representation for lower semicontinuous envelopes of functionals in $$L^1$$. Zbl 0977.49007
Chambolle, Antonin
2001
Implementation of an adaptive finite-element approximation of the Mumford-Shah functional. Zbl 0961.65062
Bourdin, Blaise; Chambolle, Antonin
2000
Finite-differences discretizations of the Mumford-Shah functional. Zbl 0947.65076
Chambolle, Antonin
1999
Discrete approximation of the Mumford-Shah functional in dimension two. Zbl 0943.49011
Chambolle, Antonin; Dal Maso, Gianni
1999
Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage. Zbl 0993.94507
Chambolle, Antonin; DeVore, Ronald A.; Lee, Nam-yong; Lucier, Bradley J.
1998
A maximum principle for order-preserving mappings. (Un principle du maximum pour des opérateurs monotones.) Zbl 0935.47034
1998
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
1997
Continuity of Neumann linear elliptic problems on varying two-dimensional bounded open sets. Zbl 0901.35019
Chambolle, Antonin; Doveri, Francesco
1997
Minimizing movements of the Mumford and Shah energy. Zbl 0948.35073
Chambolle, Antonin; Doveri, Francesco
1997
...and 3 more Documents
all top 5

#### Cited by 2,680 Authors

 56 Chambolle, Antonin 32 Novaga, Matteo 28 Steidl, Gabriele 24 Tai, Xuecheng 23 Valkonen, Tuomo 22 Burger, Martin 22 Schönlieb, Carola-Bibiane 22 Zeng, Tie Yong 20 Huang, Ting-Zhu 19 Attouch, Hedy 19 Boţ, Radu Ioan 19 Osher, Stanley Joel 19 Peyré, Gabriel 18 Aujol, Jean-François 18 Bredies, Kristian 18 Pock, Thomas 16 Caselles Costa, Vicent 15 Weinmann, Andreas 14 Braides, Andrea 13 Conti, Sergio 13 Fadili, Jalal M. 13 Morini, Massimiliano 12 Chen, Ke 12 Csetnek, Ernö Robert 12 Fornasier, Massimo 12 Lv, Xiaoguang 12 Negri, Matteo 12 Scherzer, Otmar 12 Storath, Martin 11 Bellettini, Giovanni 11 Bonettini, Silvia 11 Cremers, Daniel 11 Dong, Yiqiu 11 Friedrich, Manuel 11 Han, Deren 11 Hintermüller, Michael 11 Lazzaroni, Giuliano 11 Pang, Zhifeng 11 Shen, Lixin 11 Yuan, Xiaoming 10 Feng, Xiangchu 10 Francfort, Gilles A. 10 Garcke, Harald 10 Muha, Boris 10 Ponsiglione, Marcello 10 Tran Dinh Quoc 10 Zhang, Xiaoqun 9 Bartels, Sören 9 Čanić, Sunčica 9 Cesaroni, Annalisa 9 Chan, Tony Fan-Cheong 9 Combettes, Patrick L. 9 Crismale, Vito 9 Dal Maso, Gianni 9 Duan, Yuping 9 Giacomini, Alessandro 9 Giga, Yoshikazu 9 Gilboa, Guy 9 Iurlano, Flaviana 9 Jung, Miyoun 9 Kunisch, Karl 9 Lemenant, Antoine 9 Ng, Michael Kwok-Po 9 Papadakis, Nicolas 9 Pesquet, Jean-Christophe 9 Wu, Chunlin 9 Xu, Yuesheng 8 Cai, Xingju 8 Chan, Raymond Hon-Fu 8 Dong, Qiaoli 8 Dossal, Charles 8 Focardi, Matteo 8 Fusco, Nicola 8 Holler, Martin 8 Lee, Chang-Ock 8 Li, Wuchen 8 Liu, Jun 8 Loris, Ignace 8 Park, Jongho 8 Ruggiero, Valeria 8 Rybka, Piotr 8 Schnörr, Christoph 8 Shi, Yuying 8 Takahashi, Takéo 8 Wirth, Benedikt 8 Wu, Boying 8 Zhao, Xile 7 Almi, Stefano 7 Alves, Claudianor Oliveira 7 Briceño-Arias, Luis M. 7 Cabot, Alexandre 7 Chen, Dai-Qiang 7 Chen, Yunmei 7 Darbon, Jerome 7 Fitschen, Jan Henrik 7 Fonseca, Irene 7 Goldman, Michael 7 Guo, Zhichang 7 Hendrich, Christopher 7 Kolehmainen, Ville ...and 2,580 more Authors
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#### Cited in 299 Serials

 122 Journal of Mathematical Imaging and Vision 92 SIAM Journal on Imaging Sciences 67 Journal of Scientific Computing 52 Inverse Problems 51 SIAM Journal on Optimization 50 Archive for Rational Mechanics and Analysis 42 Computational Optimization and Applications 40 Computer Methods in Applied Mechanics and Engineering 40 Inverse Problems and Imaging 37 Journal of Computational and Applied Mathematics 36 Calculus of Variations and Partial Differential Equations 33 Applied Mathematics and Computation 33 Applied and Computational Harmonic Analysis 29 Journal of Differential Equations 27 Computers & Mathematics with Applications 27 Journal of Optimization Theory and Applications 27 Numerical Algorithms 25 Mathematical Programming. Series A. Series B 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 Journal of Mathematical Analysis and Applications 24 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 24 SIAM Journal on Scientific Computing 24 International Journal of Computer Vision 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 23 Mathematical Problems in Engineering 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Journal of Computational Physics 19 Applied Mathematical Modelling 19 Advances in Computational Mathematics 18 International Journal of Wavelets, Multiresolution and Information Processing 17 Applied Mathematics and Optimization 17 SIAM Journal on Mathematical Analysis 15 Mathematical Methods in the Applied Sciences 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Mathematics of Computation 13 Numerische Mathematik 13 SIAM Journal on Numerical Analysis 13 Optimization 13 Multidimensional Systems and Signal Processing 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Pattern Recognition 11 Applied Numerical Mathematics 10 SIAM Journal on Applied Mathematics 10 Journal of Inequalities and Applications 9 Communications on Pure and Applied Mathematics 9 Journal of the Mechanics and Physics of Solids 9 Journal of Nonlinear Science 9 Optimization Letters 9 Advances in Calculus of Variations 9 Set-Valued and Variational Analysis 8 Applicable Analysis 8 Information Sciences 8 Journal of Functional Analysis 8 Optimization Methods & Software 8 Structural and Multidisciplinary Optimization 7 Numerical Functional Analysis and Optimization 7 International Journal of Computer Mathematics 7 NoDEA. Nonlinear Differential Equations and Applications 7 Discrete and Continuous Dynamical Systems 7 Abstract and Applied Analysis 7 Foundations of Computational Mathematics 7 Journal of Machine Learning Research (JMLR) 7 Inverse Problems in Science and Engineering 6 The Annals of Statistics 6 SIAM Journal on Control and Optimization 6 Computational Mechanics 6 Journal of Global Optimization 6 Journal of Elasticity 6 Nonlinear Analysis. Real World Applications 6 Journal of Applied Mathematics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Computing 5 International Journal for Numerical Methods in Engineering 5 Transactions of the American Mathematical Society 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 The Journal of Geometric Analysis 5 Journal of Inverse and Ill-Posed Problems 5 ETNA. Electronic Transactions on Numerical Analysis 5 Journal of Convex Analysis 5 Journal of Mathematical Fluid Mechanics 5 Interfaces and Free Boundaries 5 Communications in Contemporary Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Milan Journal of Mathematics 5 Discrete and Continuous Dynamical Systems. Series S 5 Journal of the Operations Research Society of China 4 Journal of the Franklin Institute 4 Nonlinearity 4 Automatica 4 Mathematische Annalen 4 Operations Research Letters 4 Signal Processing 4 Computational and Applied Mathematics 4 Optimization and Engineering 4 Journal of Evolution Equations 4 Communications on Pure and Applied Analysis 4 Analysis and Applications (Singapore) 4 GAMM-Mitteilungen ...and 199 more Serials
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#### Cited in 45 Fields

 773 Numerical analysis (65-XX) 636 Information and communication theory, circuits (94-XX) 591 Calculus of variations and optimal control; optimization (49-XX) 493 Operations research, mathematical programming (90-XX) 447 Partial differential equations (35-XX) 437 Computer science (68-XX) 346 Mechanics of deformable solids (74-XX) 140 Operator theory (47-XX) 110 Fluid mechanics (76-XX) 102 Biology and other natural sciences (92-XX) 98 Statistics (62-XX) 69 Differential geometry (53-XX) 52 Real functions (26-XX) 42 Functional analysis (46-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 27 Systems theory; control (93-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Probability theory and stochastic processes (60-XX) 24 Ordinary differential equations (34-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Measure and integration (28-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Combinatorics (05-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Integral equations (45-XX) 14 Convex and discrete geometry (52-XX) 14 Mechanics of particles and systems (70-XX) 13 Optics, electromagnetic theory (78-XX) 12 Integral transforms, operational calculus (44-XX) 11 Approximations and expansions (41-XX) 10 Geophysics (86-XX) 7 Geometry (51-XX) 6 Potential theory (31-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Difference and functional equations (39-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX)