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Rifford, Ludovic

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Author ID: rifford.ludovic Recent zbMATH articles by "Rifford, Ludovic"
Published as: Rifford, L.; Rifford, Ludovic
Documents Indexed: 49 Publications since 2000, including 1 Book
all top 5

Serials

4 Communications on Pure and Applied Mathematics
4 SIAM Journal on Control and Optimization
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 American Journal of Mathematics
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Proceedings of the American Mathematical Society
1 Tohoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Differential Geometry and its Applications
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 SIAM Journal on Mathematical Analysis
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Calculus of Variations and Partial Differential Equations
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of the European Mathematical Society (JEMS)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
1 Journal of Modern Dynamics
1 Mathematical Control and Related Fields
1 Journal de l’École Polytechnique – Mathématiques
1 Séminaire Laurent Schwartz. EDP et Applications
1 SpringerBriefs in Mathematics

Publications by Year

Citations contained in zbMATH

44 Publications have been cited 496 times in 273 Documents Cited by Year
Sub-Riemannian geometry and optimal transport. Zbl 06265590
Rifford, Ludovic
47
2014
Feedback stabilization and Lyapunov functions. Zbl 0961.93047
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J.
33
2000
Mass transportation on sub-Riemannian manifolds. Zbl 1201.49048
Figalli, Alessio; Rifford, Ludovic
27
2010
Continuity of optimal transport maps and convexity of injectivity domains on small deformations of \(\mathbb S^2\). Zbl 1175.49040
Figalli, Alessio; Rifford, Ludovic
27
2009
Morse-Sard type results in sub-Riemannian geometry. Zbl 1069.53033
Rifford, L.; Trélat, E.
27
2005
Semiconcave control-Lyapunov functions and stabilizing feedbacks. Zbl 1034.93053
Rifford, Ludovic
27
2002
Existence of Lipschitz and semiconcave control-Lyapunov functions. Zbl 0982.93068
Rifford, Ludovic
26
2000
Nearly round spheres look convex. Zbl 1241.53031
Figalli, Alessio; Rifford, Ludovic; Villani, Cedric
25
2012
Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds. Zbl 1262.58013
Figalli, Alessio; Rifford, Ludovic; Villani, Cédric
23
2011
On the Ma-Trudinger-Wang curvature on surfaces. Zbl 1203.53034
Figalli, Alessio; Rifford, Ludovic; Villani, Cédric
20
2010
Semiconcavity results for optimal control problems admitting no singular minimizing controls. Zbl 1145.49022
Cannarsa, P.; Rifford, L.
19
2008
On the Hausdorff dimension of the Mather quotient. Zbl 1172.37018
Fathi, Albert; Rifford, Ludovic; Figalli, Alessio
18
2009
On viscosity solutions of certain Hamilton-Jacobi equations: Regularity results and generalized Sard’s theorems. Zbl 1134.70007
Rifford, Ludovic
15
2008
Feedback in state constrained optimal control. Zbl 1033.49004
Clarke, Francis H.; Rifford, Ludovic; Stern, R. J.
13
2002
Global asymptotic controllability implies input-to-state stabilization. Zbl 1069.93031
Malisoff, Michael; Rifford, Ludovic; Sontag, Eduardo
12
2004
A Morse-Sard theorem for the distance function on Riemannian manifolds. Zbl 1051.53050
Rifford, Ludovic
12
2004
Ricci curvatures in Carnot groups. Zbl 1275.53034
Rifford, Ludovic
11
2013
Regularity properties of the distance functions to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and applications in Riemannian geometry. Zbl 1201.35087
Castelpietra, Marco; Rifford, Ludovic
9
2010
On the stabilization problem for nonholonomic distributions. Zbl 1194.49070
Rifford, Ludovic; Trélat, Emmanuel
9
2009
Singularities of viscosity solutions and the stabilization problem in the plane. Zbl 1119.93058
Rifford, Ludovic
9
2003
Approximation and regularization of Lipschitz functions: convergence of the gradients. Zbl 1091.49015
Czarnecki, Marc-Olivier; Rifford, Ludovic
8
2006
The stabilization problem: AGAS and SRS feedbacks. Zbl 1259.93097
Rifford, Ludovic
7
2004
Closing Aubry sets. II. Zbl 1377.37090
Figalli, A.; Rifford, L.
6
2015
The Sard conjecture on Martinet surfaces. Zbl 1396.53055
Belotto da Silva, André; Rifford, Ludovic
5
2018
Self-contracted curves in Riemannian manifolds. Zbl 1376.53073
Daniilidis, Aris; Deville, Robert; Durand-Cartagena, Estibalitz; Rifford, Ludovic
5
2018
Closing geodesics in \(C^1\) topology. Zbl 1258.53087
Rifford, Ludovic
5
2012
Generic properties of closed orbits of Hamiltonian flows from Mañé’s viewpoint. Zbl 1277.37040
Rifford, Ludovic; Ruggiero, Rafael O.
5
2012
On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients. Zbl 1002.93058
Rifford, Ludovic
5
2001
Stabilization of globally asymptotically controllable systems. Zbl 0952.93113
Rifford, Ludovic
5
2000
Closing Aubry sets. I. Zbl 1321.37061
Figalli, A.; Rifford, L.
4
2015
Tangent cut loci on surfaces. Zbl 1217.53038
Figalli, A.; Rifford, L.; Villani, C.
4
2011
Stratified semiconcave control-Lyapunov functions and the stabilization problem. Zbl 1114.93081
Rifford, Ludovic
4
2005
The intrinsic dynamics of optimal transport. Zbl 1364.49060
McCann, Robert J.; Rifford, Ludovic
3
2016
Generic hyperbolicity of aubry sets on surfaces. Zbl 1352.37169
Contreras, G.; Figalli, A.; Rifford, L.
3
2015
On sub-Riemannian spheres. Zbl 1135.53021
Rifford, L.
3
2006
On the existence of local smooth repulsive stabilizing feedbacks in dimension three. Zbl 1134.93401
Rifford, Ludovic
3
2006
Sard theorems for Lipschitz functions and applications in optimization. Zbl 1353.58005
Barbet, Luc; Dambrine, Marc; Daniilidis, Aris; Rifford, Ludovic
2
2016
Aubry sets, Hamilton-Jacobi equations, and the Mañé conjecture. Zbl 1364.37137
Figalli, A.; Rifford, L.
2
2013
Stabilization problem for nonholonomic control systems. Zbl 1206.93089
Rifford, L.
2
2008
The stabilization problem on surfaces. Zbl 1170.93367
Rifford, L.
2
2006
Singular minimizers in sub-Riemannian. Zbl 1385.53018
Rifford, Ludovic
1
2017
On the convexity of injectivity domains on nonfocal manifolds. Zbl 1320.53038
Figalli, Alessio; Gallouët, Thomas O.; Rifford, Ludovic
1
2015
Mass transportation with LQ cost functions. Zbl 1207.49040
Hindawi, A.; Pomet, J.-B.; Rifford, L.
1
2011
Convexity of injectivity domains on the ellipsoid of revolution: the oblate case. Zbl 1225.53006
Bonnard, Bernard; Caillau, Jean-Baptiste; Rifford, Ludovic
1
2010
The Sard conjecture on Martinet surfaces. Zbl 1396.53055
Belotto da Silva, André; Rifford, Ludovic
5
2018
Self-contracted curves in Riemannian manifolds. Zbl 1376.53073
Daniilidis, Aris; Deville, Robert; Durand-Cartagena, Estibalitz; Rifford, Ludovic
5
2018
Singular minimizers in sub-Riemannian. Zbl 1385.53018
Rifford, Ludovic
1
2017
The intrinsic dynamics of optimal transport. Zbl 1364.49060
McCann, Robert J.; Rifford, Ludovic
3
2016
Sard theorems for Lipschitz functions and applications in optimization. Zbl 1353.58005
Barbet, Luc; Dambrine, Marc; Daniilidis, Aris; Rifford, Ludovic
2
2016
Closing Aubry sets. II. Zbl 1377.37090
Figalli, A.; Rifford, L.
6
2015
Closing Aubry sets. I. Zbl 1321.37061
Figalli, A.; Rifford, L.
4
2015
Generic hyperbolicity of aubry sets on surfaces. Zbl 1352.37169
Contreras, G.; Figalli, A.; Rifford, L.
3
2015
On the convexity of injectivity domains on nonfocal manifolds. Zbl 1320.53038
Figalli, Alessio; Gallouët, Thomas O.; Rifford, Ludovic
1
2015
Sub-Riemannian geometry and optimal transport. Zbl 06265590
Rifford, Ludovic
47
2014
Ricci curvatures in Carnot groups. Zbl 1275.53034
Rifford, Ludovic
11
2013
Aubry sets, Hamilton-Jacobi equations, and the Mañé conjecture. Zbl 1364.37137
Figalli, A.; Rifford, L.
2
2013
Nearly round spheres look convex. Zbl 1241.53031
Figalli, Alessio; Rifford, Ludovic; Villani, Cedric
25
2012
Closing geodesics in \(C^1\) topology. Zbl 1258.53087
Rifford, Ludovic
5
2012
Generic properties of closed orbits of Hamiltonian flows from Mañé’s viewpoint. Zbl 1277.37040
Rifford, Ludovic; Ruggiero, Rafael O.
5
2012
Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds. Zbl 1262.58013
Figalli, Alessio; Rifford, Ludovic; Villani, Cédric
23
2011
Tangent cut loci on surfaces. Zbl 1217.53038
Figalli, A.; Rifford, L.; Villani, C.
4
2011
Mass transportation with LQ cost functions. Zbl 1207.49040
Hindawi, A.; Pomet, J.-B.; Rifford, L.
1
2011
Mass transportation on sub-Riemannian manifolds. Zbl 1201.49048
Figalli, Alessio; Rifford, Ludovic
27
2010
On the Ma-Trudinger-Wang curvature on surfaces. Zbl 1203.53034
Figalli, Alessio; Rifford, Ludovic; Villani, Cédric
20
2010
Regularity properties of the distance functions to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and applications in Riemannian geometry. Zbl 1201.35087
Castelpietra, Marco; Rifford, Ludovic
9
2010
Convexity of injectivity domains on the ellipsoid of revolution: the oblate case. Zbl 1225.53006
Bonnard, Bernard; Caillau, Jean-Baptiste; Rifford, Ludovic
1
2010
Continuity of optimal transport maps and convexity of injectivity domains on small deformations of \(\mathbb S^2\). Zbl 1175.49040
Figalli, Alessio; Rifford, Ludovic
27
2009
On the Hausdorff dimension of the Mather quotient. Zbl 1172.37018
Fathi, Albert; Rifford, Ludovic; Figalli, Alessio
18
2009
On the stabilization problem for nonholonomic distributions. Zbl 1194.49070
Rifford, Ludovic; Trélat, Emmanuel
9
2009
Semiconcavity results for optimal control problems admitting no singular minimizing controls. Zbl 1145.49022
Cannarsa, P.; Rifford, L.
19
2008
On viscosity solutions of certain Hamilton-Jacobi equations: Regularity results and generalized Sard’s theorems. Zbl 1134.70007
Rifford, Ludovic
15
2008
Stabilization problem for nonholonomic control systems. Zbl 1206.93089
Rifford, L.
2
2008
Approximation and regularization of Lipschitz functions: convergence of the gradients. Zbl 1091.49015
Czarnecki, Marc-Olivier; Rifford, Ludovic
8
2006
On sub-Riemannian spheres. Zbl 1135.53021
Rifford, L.
3
2006
On the existence of local smooth repulsive stabilizing feedbacks in dimension three. Zbl 1134.93401
Rifford, Ludovic
3
2006
The stabilization problem on surfaces. Zbl 1170.93367
Rifford, L.
2
2006
Morse-Sard type results in sub-Riemannian geometry. Zbl 1069.53033
Rifford, L.; Trélat, E.
27
2005
Stratified semiconcave control-Lyapunov functions and the stabilization problem. Zbl 1114.93081
Rifford, Ludovic
4
2005
Global asymptotic controllability implies input-to-state stabilization. Zbl 1069.93031
Malisoff, Michael; Rifford, Ludovic; Sontag, Eduardo
12
2004
A Morse-Sard theorem for the distance function on Riemannian manifolds. Zbl 1051.53050
Rifford, Ludovic
12
2004
The stabilization problem: AGAS and SRS feedbacks. Zbl 1259.93097
Rifford, Ludovic
7
2004
Singularities of viscosity solutions and the stabilization problem in the plane. Zbl 1119.93058
Rifford, Ludovic
9
2003
Semiconcave control-Lyapunov functions and stabilizing feedbacks. Zbl 1034.93053
Rifford, Ludovic
27
2002
Feedback in state constrained optimal control. Zbl 1033.49004
Clarke, Francis H.; Rifford, Ludovic; Stern, R. J.
13
2002
On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients. Zbl 1002.93058
Rifford, Ludovic
5
2001
Feedback stabilization and Lyapunov functions. Zbl 0961.93047
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J.
33
2000
Existence of Lipschitz and semiconcave control-Lyapunov functions. Zbl 0982.93068
Rifford, Ludovic
26
2000
Stabilization of globally asymptotically controllable systems. Zbl 0952.93113
Rifford, Ludovic
5
2000
all top 5

Cited by 321 Authors

24 Rifford, Ludovic
15 Figalli, Alessio
12 Rizzi, Luca
10 Cannarsa, Piermarco
10 Trélat, Emmanuel
9 Agrachev, Andreĭ Aleksandrovich
9 Barilari, Davide
8 Lee, Paul W. Y.
8 McCann, Robert J.
6 Kim, Young-Heon
6 Stern, Ronald Jay
6 Teel, Andrew Richard
5 Cheng, Wei
5 Le Donne, Enrico
5 Villani, Cédric
4 Albano, Paolo
4 Ancona, Fabio
4 Balogh, Zoltán M.
4 Boarotto, Francesco
4 Chen, Shibing
4 Clarke, Francis H.
4 Daniilidis, Aris
4 Goebel, Rafal
4 Karafyllis, Iasson
4 Kristály, Alexandru
4 Nakamura, Hisakazu
4 Tsinias, John
3 Bernard, Patrick
3 Bessa, Mário
3 Bonnard, Bernard
3 Bressan, Alberto
3 Chitour, Yacine
3 Frankowska, Hélène
3 Jean, Frédéric
3 Kitagawa, Jun
3 Moameni, Abbas
3 Neel, Robert Weston
3 Pass, Brendan
3 Sipos, Kinga
3 Sontag, Eduardo D.
3 Vinter, Richard B.
3 Vittone, Davide
2 Abbondandolo, Alberto
2 Arguillère, Sylvain
2 Arnaud, Marie-Claude
2 Bacciotti, Andrea
2 Barbet, Luc
2 Baudoin, Fabrice
2 Bernardi, Olga
2 Bettiol, Piernicola
2 Boscain, Ugo
2 Caillau, Jean-Baptiste
2 Cavalletti, Fabio
2 Ceragioli, Francesca
2 Choi, Woocheol
2 Contreras, Gonzalo
2 Cui, Xiaojun
2 Dambrine, Marc
2 De Philippis, Guido
2 Deville, Robert
2 Durand-Cartagena, Estibalitz
2 Eldredge, Nathaniel Gilbert Bartsch
2 Fukui, Yoshiro
2 Ghezzi, Roberta
2 Grong, Erlend
2 Guillen, Nestor
2 Kellett, Christopher M.
2 Konnov, Igor V.
2 Kuwada, Kazumasa
2 Lebedeva, Nina V.
2 Lemenant, Antoine
2 Li, Qirui
2 Massart, Daniel
2 Mazzucchelli, Marco
2 Miranda, José Antonio G.
2 Montanari, Annamaria
2 Morbidelli, Daniele
2 Motta, Monica
2 Moulay, Emmanuel
2 Nakamura, Nami
2 Nicolussi Golo, Sebastiano
2 Nishitani, Hirokazu
2 Nour, Chadi
2 Ottazzi, Alessandro
2 Perruquetti, Wilfrid
2 Ponge, Raphaël S.
2 Prieur, Christophe
2 Scarinci, Teresa
2 Sigalotti, Mario
2 Thalmaier, Anton
2 Torres, Maria Joana
2 Wang, Kaizhi
2 Wang, Xu-Jia
2 Wang, Zhigang
2 Yu, Yifeng
1 Ahmad, Najma
1 Akian, Marianne
1 Angulo Ardoy, Pablo
1 Angulo, Pablo
1 Asselle, Luca
...and 221 more Authors
all top 5

Cited in 105 Serials

20 Calculus of Variations and Partial Differential Equations
14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Systems & Control Letters
9 Automatica
8 Journal of Differential Equations
7 SIAM Journal on Control and Optimization
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Journal of Mathematical Analysis and Applications
6 Journal of Dynamical and Control Systems
5 Advances in Mathematics
5 Journal of the European Mathematical Society (JEMS)
4 International Journal of Control
4 Journal of Optimization Theory and Applications
4 Manuscripta Mathematica
4 The Journal of Geometric Analysis
4 Geometric and Functional Analysis. GAFA
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Mathematical Analysis
4 Discrete and Continuous Dynamical Systems
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Archive for Rational Mechanics and Analysis
3 Communications in Mathematical Physics
3 Communications on Pure and Applied Mathematics
3 Geometriae Dedicata
3 Inventiones Mathematicae
3 Journal of Functional Analysis
3 Mathematische Annalen
3 Proceedings of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 MCSS. Mathematics of Control, Signals, and Systems
3 Differential Geometry and its Applications
3 Communications in Partial Differential Equations
3 European Journal of Control
3 Science China. Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Duke Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Revista Matemática Iberoamericana
2 Economic Theory
2 Mathematical Physics, Analysis and Geometry
2 Regular and Chaotic Dynamics
2 Communications in Contemporary Mathematics
2 Journal of the Institute of Mathematics of Jussieu
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Modern Dynamics
2 Nonlinear Analysis. Hybrid Systems
2 Mathematical Control and Related Fields
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Acta Mathematica
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Publications Mathématiques
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Chinese Annals of Mathematics. Series B
1 Annals of Pure and Applied Logic
1 Discrete & Computational Geometry
1 Applied Mathematics Letters
1 Automation and Remote Control
1 Communications in Statistics. Theory and Methods
1 Bulletin of the American Mathematical Society. New Series
1 Mathematical Programming. Series A. Series B
1 Journal of Dynamics and Differential Equations
1 Journal of Mathematical Imaging and Vision
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
1 Potential Analysis
1 Set-Valued Analysis
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Journal of Inverse and Ill-Posed Problems
1 NoDEA. Nonlinear Differential Equations and Applications
1 Electronic Journal of Probability
1 European Mathematical Society Newsletter
1 Doklady Mathematics
1 Annales Henri Poincaré
1 Nonlinear Analysis. Real World Applications
1 Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Bulletin of the Brazilian Mathematical Society. New Series
1 International Journal of Geometric Methods in Modern Physics
1 Mediterranean Journal of Mathematics
1 Confluentes Mathematici
1 SIAM Journal on Financial Mathematics
1 Japanese Journal of Mathematics. 3rd Series
1 Journal of Geometric Mechanics
1 Set-Valued and Variational Analysis
1 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Sigma
1 Journal of Computational Dynamics
1 Analysis and Geometry in Metric Spaces
...and 5 more Serials
all top 5

Cited in 39 Fields

114 Calculus of variations and optimal control; optimization (49-XX)
99 Differential geometry (53-XX)
64 Systems theory; control (93-XX)
50 Partial differential equations (35-XX)
41 Dynamical systems and ergodic theory (37-XX)
34 Global analysis, analysis on manifolds (58-XX)
19 Ordinary differential equations (34-XX)
16 Mechanics of particles and systems (70-XX)
12 Operations research, mathematical programming (90-XX)
11 Real functions (26-XX)
11 Measure and integration (28-XX)
9 General topology (54-XX)
7 Topological groups, Lie groups (22-XX)
6 Convex and discrete geometry (52-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Approximations and expansions (41-XX)
4 Functional analysis (46-XX)
4 Manifolds and cell complexes (57-XX)
4 Probability theory and stochastic processes (60-XX)
3 Algebraic geometry (14-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
3 Statistics (62-XX)
3 Numerical analysis (65-XX)
3 Computer science (68-XX)
2 Mathematical logic and foundations (03-XX)
2 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
2 Operator theory (47-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)

Citations by Year