# zbMATH — the first resource for mathematics

## Geometric and Functional Analysis. GAFA

 Short Title: Geom. Funct. Anal. Publisher: Springer (Birkhäuser), Basel ISSN: 1016-443X; 1420-8970/e Online: http://link.springer.com/journal/volumesAndIssues/39 Comments: Indexed cover-to-cover
 Documents Indexed: 1,254 Publications (since 1991) References Indexed: 709 Publications with 20,789 References.
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#### Latest Issues

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#### Authors

 34 Bourgain, Jean 13 Tao, Terence 11 Gromov, Mikhael Leonidovich 10 Cheeger, Jeff 9 Guth, Lawrence David 8 Burago, Dmitri 8 Nabutovsky, Alexander 8 Peres, Yuval 7 Alon, Noga M. 7 Ivanov, Sergei Vladimirovich 7 Kazhdan, David A. 7 Kuksin, Sergeĭ B. 7 Lee, James R. 7 Merle, Frank 7 Nadirashvili, Nikolai S. 6 Alesker, Semyon 6 Gowers, William Timothy 6 Kapovich, Michael 6 Masur, Howard A. 6 Müller, Werner 6 Oh, Hee 6 Rong, Xiaochun 6 Talagrand, Michel 6 Verbitsky, Misha 6 Zelditch, Steve 5 Anderson, Michael T. 5 Bogomolov, Fedor Alekseivich 5 Eliashberg, Yakov Matveevich 5 Green, Ben Joseph 5 Katz, Mikhail G. 5 Kenig, Carlos Eduardo 5 Kleiner, Bruce 5 Lubotzky, Alexander 5 Mazzeo, Rafe R. 5 Minsky, Yair N. 5 Mohammadi, Amir 5 Moscovici, Henri 5 Petrunin, Anton Mikhailovich 5 Rotman, Regina 5 Sarnak, Peter Clive 5 Shubin, Mikhail Aleksandrovich 5 Souto, Juan 5 Tian, Gang 5 Tomczak-Jaegermann, Nicole 5 Wise, Daniel T. 4 Biran, Paul 4 Breuillard, Emmanuel 4 Brock, Jeffrey F. 4 Burger, Marc 4 Chang, Mei-Chu 4 Etingof, Pavel Il’ich 4 Gelander, Tsachik 4 Gersten, Stephen M. 4 Hofer, Helmut H. W. 4 Hofmann, Steve 4 Junge, Marius 4 Leeb, Bernhard 4 Lovász, László 4 Lytchak, Alexander 4 Margulis, Grigoriĭ Aleksandrovich 4 McMullen, Curtis Tracy 4 Misiołek, Gerard 4 Müller, Detlef 4 Naor, Assaf 4 Nevo, Amos 4 Olevskii, Alexander Moiseevich 4 Papasoglu, Panos 4 Polterovich, Leonid Viktorovich 4 Rafi, Kasra 4 Ramachandran, Mohan 4 Rodnianski, Igor 4 Rørdam, Mikael 4 Rudelson, Mark 4 Rudnick, Zeév 4 Saloff-Coste, Laurent 4 Seidel, Paul 4 Sela, Zlil 4 Smith, Ivan 4 Tolsa, Xavier 4 Tschinkel, Yuri 3 Adams, Scot 3 Avila Cordeiro de Melo, Artur 3 Azzam, Jonas 3 Balacheff, Florent 3 Benjamini, Itai 3 Bernig, Andreas 3 Bestvina, Mladen 3 Bialy, Misha 3 Bismut, Jean-Michel 3 Blomer, Valentin 3 Botvinnik, Boris I. 3 Bridgeman, Martin J. 3 Bridson, Martin R. 3 Canary, Richard D. 3 Carlen, Eric Anders 3 Christ, Michael 3 Colding, Tobias Holck 3 Conlon, David 3 Constantin, Peter 3 Coulhon, Thierry ...and 1,341 more Authors
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#### Fields

 374 Differential geometry (53-XX) 190 Global analysis, analysis on manifolds (58-XX) 174 Manifolds and cell complexes (57-XX) 171 Dynamical systems and ergodic theory (37-XX) 144 Number theory (11-XX) 133 Group theory and generalizations (20-XX) 123 Partial differential equations (35-XX) 115 Functional analysis (46-XX) 112 Several complex variables and analytic spaces (32-XX) 107 Topological groups, Lie groups (22-XX) 99 Functions of a complex variable (30-XX) 91 Probability theory and stochastic processes (60-XX) 89 Algebraic geometry (14-XX) 75 Combinatorics (05-XX) 70 Convex and discrete geometry (52-XX) 51 Measure and integration (28-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 41 Operator theory (47-XX) 35 Abstract harmonic analysis (43-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 32 Quantum theory (81-XX) 22 General topology (54-XX) 21 Potential theory (31-XX) 20 Algebraic topology (55-XX) 19 Real functions (26-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Fluid mechanics (76-XX) 12 Nonassociative rings and algebras (17-XX) 12 Category theory; homological algebra (18-XX) 11 $$K$$-theory (19-XX) 11 Geometry (51-XX) 11 Information and communication theory, circuits (94-XX) 10 Mathematical logic and foundations (03-XX) 9 Relativity and gravitational theory (83-XX) 7 Associative rings and algebras (16-XX) 6 Computer science (68-XX) 5 Ordinary differential equations (34-XX) 5 Integral transforms, operational calculus (44-XX) 5 Numerical analysis (65-XX) 5 Mechanics of particles and systems (70-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Operations research, mathematical programming (90-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 General algebraic systems (08-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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1,188 Publications have been cited 20,944 times in 15,571 Documents Cited by Year
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations. Zbl 0787.35097
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1993
Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018
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1999
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation. Zbl 0787.35098
Bourgain, J.
1993
Geometry of the complex of curves. II: Hierarchical structure. Zbl 0972.32011
Masur, H. A.; Minsky, Y. N.
2000
A new proof of Szemerédi’s theorem. Zbl 1028.11005
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2001
The local index formula in noncommutative geometry. Zbl 0960.46048
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1995
A sum-product estimate in finite fields, and applications. Zbl 1145.11306
Bourgain, Jean; Katz, N.; Tao, Terence C.
2004
Random walk in random groups. Zbl 1122.20021
Gromov, M.
2003
Polar factorization of maps on Riemannian manifolds. Zbl 1011.58009
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2001
Transportation cost for Gaussian and other product measures. Zbl 0859.46030
Talagrand, M.
1996
Relatively hyperbolic groups. Zbl 0985.20027
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1998
Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078
2012
Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014
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2005
Special cube complexes. Zbl 1155.53025
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2008
Embeddings of Gromov hyperbolic spaces. Zbl 0972.53021
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2000
Functors and computations in Floer homology with applications. I. Zbl 0954.57015
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1999
A sharp bilinear restriction estimate for paraboloids. Zbl 1068.42011
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2003
Entropy and rigidity of locally symmetric spaces of strictly negative curvature. (Entropies et rigidités des espaces localement symétriques de courbure strictement négative.) Zbl 0851.53032
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1995
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
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2003
Concentration of mass on convex bodies. Zbl 1114.52004
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2006
A new proof of Szemerédi’s theorem for arithmetic progressions of length four. Zbl 0907.11005
Gowers, W. T.
1998
On the Cauchy problem for the Kadomtsev-Petviashvili equation. Zbl 0787.35086
Bourgain, J.
1993
On convex perturbations with a bounded isotropic constant. Zbl 1113.52014
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2006
Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043
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2002
Description of translation invariant valuations on convex sets with solution of P. McMullen’s conjecture. Zbl 0995.52001
Alesker, S.
2001
Besicovitch type maximal operators and applications to Fourier analysis. Zbl 0756.42014
Bourgain, J.
1991
Bounds on oscillatory integral operators based on multilinear estimates. Zbl 1237.42010
Bourgain, Jean; Guth, Larry
2011
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
2002
Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on $$S^ n$$. Zbl 0754.47041
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1992
Approximating $$L^ 2$$-invariants by their finite-dimensional analogues. Zbl 0853.57021
Lück, W.
1994
On Selberg’s eigenvalue conjecture. Zbl 0844.11038
Luo, W.; Rudnick, Z.; Sarnak, P.
1995
Construction of periodic solutions of nonlinear wave equations in higher dimension. Zbl 0834.35083
Bourgain, Jean
1995
Group-invariant percolation on graphs. Zbl 0924.43002
Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O.
1999
A Szemerédi-type regularity lemma in abelian groups, with applications. Zbl 1160.11314
Green, Ben
2005
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
2000
The analogues of entropy and of Fisher’s information measure in free probability theory. III: The absence of Cartan subalgebras. Zbl 0856.60012
Voiculescu, D.
1996
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Zbl 1061.35135
Merle, Frank; Raphaël, Pierre
2003
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
1998
Ahlfors $$Q$$-regular spaces with arbitrary $$Q>1$$ admitting weak Poincaré inequality. Zbl 0962.30006
Laakso, T. J.
2000
Szemerédi’s lemma for the analyst. Zbl 1123.46020
Lovász, László; Szegedy, Balász
2007
On triples in arithmetic progression. Zbl 0959.11004
Bourgain, Jean
1999
Diophantine geometry over groups. VI: The elementary theory of a free group. Zbl 1118.20035
Sela, Z.
2006
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
Gromov, Mikhail
2010
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
1997
A variational approach for compact homogeneous Einstein manifolds. Zbl 1068.53029
Böhm, C.; Wang, M.; Ziller, W.
2004
Extremal Kähler metrics and complex deformation theory. Zbl 0801.53050
LeBrun, C.; Simanca, S. R.
1994
Continuous bounded cohomology and applications to rigidity theory. Zbl 1006.22010
Burger, M.; Monod, N.
2002
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
2002
Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations. Zbl 0872.35007
Bourgain, Jean
1996
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
2008
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
2009
On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture. Zbl 1216.11057
Ichino, Atsushi; Ikeda, Tamotsu
2010
Asymptotic properties of linear groups. (Propriétés asymptotiques des groupes linéaires.) Zbl 0947.22003
Bénoist, Y.
1997
Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank $$1$$ Lie groups. II. Zbl 0884.20025
Sela, Z.
1997
Relative volume comparison with integral curvature bounds. Zbl 0910.53029
Petersen, P.; Wei, G.
1997
A measure concentration inequality for contracting Markov chains. Zbl 0856.60072
Marton, K.
1996
The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044
Ghoussoub, N.; Robert, F.
2006
Property (T) and Kazhdan constants for discrete groups. Zbl 1036.22004
Żuk, Andrzej
2003
The distribution of values of $$L(1,\chi_d)$$. Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
2003
From the Mahler conjecture to Gauss linking integrals. Zbl 1169.52004
Kuperberg, Greg
2008
Rank rigidity for CAT(0) cube complexes. Zbl 1266.20054
Caprace, Pierre-Emmanuel; Sageev, Michah
2011
Local smoothing type estimates on $$L^p$$ for large $$p$$. Zbl 0972.42005
Wolff, T.
2000
Growth and percolation on the uniform infinite planar triangulation. Zbl 1039.60085
Angel, Omer
2003
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
2011
A bilinear approach to cone multipliers. II: Applications. Zbl 0949.42013
Tao, Terence C.; Vargas, Ana M.
2000
Instability of solitons for the critical generalized Korteweg-de Vries equation. Zbl 0985.35071
Martel, Y.; Merle, F.
2001
Heat kernel and Green function estimates on noncompact symmetric spaces. Zbl 0942.43005
Anker, J.-P.; Ji, L.
1999
A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation. Zbl 0999.35069
Katz, N. H.; Pavlović, N.
2002
Some deviation inequalities. Zbl 0756.60018
Maurey, B.
1991
Floer homology and the heat flow. Zbl 1118.53056
Salamon, D. A.; Weber, J.
2006
Embedding Riemannian manifolds by their heat kernel. Zbl 0806.53044
Bérard, P.; Besson, G.; Gallot, S.
1994
Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027
Hofer, H.; Wysocki, K.; Zehnder, E.
1995
Cubulating small cancellation groups. Zbl 1071.20038
Wise, D. T.
2004
Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2007
Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel. Zbl 1147.33004
Schapira, Bruno
2008
Dynamic of threshold solutions for energy-critical NLS. Zbl 1232.35150
Duyckaerts, Thomas; Merle, Frank
2009
Moments of two-variable functions and the uniqueness of graph limits. Zbl 1223.05193
Borgs, Christian; Chayes, Jennifer; Lovász, László
2010
A functional analytic approach to intersection bodies. Zbl 0974.52002
Koldobsky, A.
2000
Exponential sums and nonlinear Schrödinger equations. Zbl 0787.35096
Bourgain, J.
1993
An equivalence of fusion categories. Zbl 0860.17040
Finkelberg, M.
1996
A bilinear approach to cone multipliers. I: Restriction estimates. Zbl 0949.42012
Tao, Terence C.; Vargas, Ana M.
2000
Lower bounds of tower type for Szemerédi’s uniformity lemma. Zbl 0876.05053
Gowers, W. T.
1997
On $$L^2$$-cohomology and property (T) for automorphism groups of polyhedral cell complexes. Zbl 0897.22007
Ballmann, W.; Świątkowski, J.
1997
The multiplicative structure on continuous polynomial valuations. Zbl 1072.52011
Alesker, S.
2004
Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050
Ball, K.
1992
Berger’s isoperimetric problem and minimal immersions of surfaces. Zbl 0868.58079
1996
Riemannian tori without conjugate points are flat. Zbl 0808.53038
Burago, D.; Ivanov, S.
1994
On the Erdős-Volkmann and Katz-Tao ring conjectures. Zbl 1115.11049
Bourgain, J.
2003
Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
2012
$$\pi_1$$ of symplectic automorphism groups and invertibles in quantum homology rings. Zbl 0928.53042
Seidel, P.
1997
Conformally invariant systems of nonlinear PDE of Liouville type. Zbl 0858.35035
Chanillo, S.; Kiessling, M. K.-H.
1995
Lipschitz maps and nets in Euclidean space. Zbl 0941.37030
McMullen, C. T.
1998
A KAM scheme for SL(2, $$\mathbb R$$) cocycles with Liouvillean frequencies. Zbl 1277.37089
Avila, Artur; Fayad, Bassam; Krikorian, Raphaël
2011
Random walks on graphs with regular volume growth. Zbl 0918.60053
Coulhon, T.; Grigoryan, A.
1998
Kirszbraun’s theorem and metric spaces of bounded curvature. Zbl 0891.53046
Lang, U.; Schroeder, V.
1997
Random matrices: The distribution of the smallest singular values. Zbl 1210.60014
Tao, Terence; Vu, Van
2010
Log canonical thresholds of del Pezzo surfaces. Zbl 1161.14030
Cheltsov, Ivan
2008
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
2016
On the Busemann-Petty problem for perturbations of the ball. Zbl 0752.52001
Bourgain, J.
1991
Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains. Zbl 1087.35010
Malchiodi, A.
2005
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
2020
Symmetry results for critical anisotropic $$p$$-Laplacian equations in convex cones. Zbl 1453.35104
Ciraolo, Giulio; Figalli, Alessio; Roncoroni, Alberto
2020
Anderson localization for multi-frequency quasi-periodic operators on $$\mathbb{Z}^d$$. Zbl 07219753
Jitomirskaya, Svetlana; Liu, Wencai; Shi, Yunfeng
2020
Non-simplicity of isocontact embeddings in all higher dimensions. Zbl 1436.53054
Casals, Roger; Etnyre, John B.
2020
On the random wave conjecture for dihedral Maaß forms. Zbl 1462.11041
Humphries, Peter; Khan, Rizwanur
2020
Contact manifolds with flexible fillings. Zbl 1436.53055
Lazarev, Oleg
2020
Edge rigidity and universality of random regular graphs of intermediate degree. Zbl 1453.05117
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer
2020
Arithmetic version of Anderson localization via reducibility. Zbl 1454.82017
Ge, Lingrui; You, Jiangong
2020
A landing theorem for entire functions with bounded post-singular sets. Zbl 1461.37047
Benini, Anna Miriam; Rempe, Lasse
2020
Symplectic cohomology rings of affine varieties in the topological limit. Zbl 1451.53118
Ganatra, Sheel; Pomerleano, Daniel
2020
Laplacian algebras, manifold submetries and the inverse invariant theory problem. Zbl 1446.53016
Mendes, Ricardo A. E.; Radeschi, Marco
2020
Flows on the PGL(V)-Hitchin component. Zbl 07219757
Sun, Zhe; Wienhard, Anna; Zhang, Tengren
2020
Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds. Zbl 1436.49054
Schulze, Felix
2020
Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines. Zbl 1436.30009
Viklund, Fredrik; Wang, Yilin
2020
Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps. Zbl 07248827
Müller, Werner; Rochon, Frédéric
2020
Small cap decouplings. With an appendix by D. R. Heath-Brown. Zbl 1454.42008
Demeter, Ciprian; Guth, Larry; Wang, Hong
2020
Properties of high rank subvarieties of affine spaces. Zbl 1460.14138
Kazhdan, David; Ziegler, Tamar
2020
A long neck principle for Riemannian spin manifolds with positive scalar curvature. Zbl 1455.58008
Cecchini, Simone
2020
Regularity of area minimizing currents mod $$p$$. Zbl 1456.49032
De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore
2020
Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows. Zbl 07286400
Sturm, Karl-Theodor
2020
Traceless AF embeddings and unsuspended $$E$$-theory. Zbl 1466.46050
Gabe, James
2020
Geodesically complete spaces with an upper curvature bound. Zbl 1412.53058
Lytchak, Alexander; Nagano, Koichi
2019
Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces. Zbl 1431.53046
Ambrosio, Luigi; Brué, Elia; Semola, Daniele
2019
Anderson localization for two interacting quasiperiodic particles. Zbl 07040581
Bourgain, Jean; Kachkovskiy, Ilya
2019
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Zbl 1420.49046
Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip
2019
A steady Euler flow with compact support. Zbl 1414.35157
Gavrilov, A. V.
2019
An $$L^2$$-identity and pinned distance problem. Zbl 1416.28005
Liu, Bochen
2019
Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications. Zbl 1427.35189
Constantin, Peter; La, Joonhyun; Vicol, Vlad
2019
Finitary random interlacements and the Gaboriau-Lyons problem. Zbl 1418.37005
Bowen, Lewis
2019
Long-time existence for multi-dimensional periodic water waves. Zbl 1420.35243
Ionescu, A. D.; Pusateri, F.
2019
Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components. Zbl 1447.58013
Mondello, Gabriele; Panov, Dmitri
2019
Large genus asymptotics for Siegel-Veech constants. Zbl 1427.14053
Aggarwal, Amol
2019
Application of signal analysis to the embedding problem of $${\mathbb{Z}}^k$$-actions. Zbl 1427.37013
Gutman, Yonatan; Qiao, Yixiao; Tsukamoto, Masaki
2019
Synthesizable differentiation-invariant subspaces. Zbl 1423.30038
Baranov, Anton; Belov, Yurii
2019
New bounds on the dimensions of planar distance sets. Zbl 1428.28005
Keleti, Tamás; Shmerkin, Pablo
2019
The base change in the Atiyah and the Lück approximation conjectures. Zbl 1453.20007
Jaikin-Zapirain, Andrei
2019
Percolation on hyperbolic graphs. Zbl 07073753
Hutchcroft, Tom
2019
Double variational principle for mean dimension. Zbl 1433.37025
Lindenstrauss, Elon; Tsukamoto, Masaki
2019
Small gaps of GOE. Zbl 1434.60025
Feng, Renjie; Tian, Gang; Wei, Dongyi
2019
The Weyl law for the phase transition spectrum and density of limit interfaces. Zbl 1416.53009
Gaspar, Pedro; Guaraco, Marco A. M.
2019
The sparse circular law under minimal assumptions. Zbl 1442.15058
Rudelson, Mark; Tikhomirov, Konstantin
2019
Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018
Cao, Yongluo; Pesin, Yakov; Zhao, Yun
2019
Density of algebraic points on Noetherian varieties. Zbl 07040583
Binyamini, Gal
2019
Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian. Zbl 1430.58022
Jitomirskaya, Svetlana; Liu, Wencai
2019
Pointwise lower scalar curvature bounds for $$C^0$$ metrics via regularizing Ricci flow. Zbl 1430.53042
Burkhardt-Guim, Paula
2019
On the Yang-Yau inequality for the first Laplace eigenvalue. Zbl 1429.58040
Karpukhin, Mikhail
2019
Affine actions with Hitchin linear part. Zbl 1427.57028
Danciger, Jeffrey; Zhang, Tengren
2019
Gaps in scl for amalgamated free products and RAAGs. Zbl 07040586
Heuer, Nicolaus
2019
Bipolar comparison. Zbl 07040588
Lebedeva, Nina; Petrunin, Anton; Zolotov, Vladimir
2019
Incidence estimates for well spaced tubes. Zbl 1460.52017
Guth, Larry; Solomon, Noam; Wang, Hong
2019
Geodesic currents and counting problems. Zbl 1420.30012
Rafi, Kasra; Souto, Juan
2019
A gluing construction of collapsing Calabi-Yau metrics on $$K3$$ fibred 3-folds. Zbl 1440.53054
Li, Yang
2019
Badly approximable points on manifolds and unipotent orbits in homogeneous spaces. Zbl 07091756
Yang, Lei
2019
Polynomial bound for partition rank in terms of analytic rank. Zbl 1442.11027
Milićević, Luka
2019
Characterizing spaces satisfying Poincaré inequalities and applications to differentiability. Zbl 1415.30033
Eriksson-Bique, Sylvester
2019
Half-dimensional collapse of ends of manifolds of nonpositive curvature. Zbl 1432.53050
Avramidi, Grigori; Nguyễn-Phan, T. Tâm
2019
On loops intersecting at most once. Zbl 1435.57020
Greene, Joshua Evan
2019
Riemannian curvature measures. Zbl 1432.53021
Fu, Joseph H. G.; Wannerer, Thomas
2019
On the symplectic size of convex polytopes. Zbl 1425.53097
Haim-Kislev, Pazit
2019
Harmonic maps for Hitchin representations. Zbl 07058365
Li, Qiongling
2019
Functions of bounded fractional variation and fractal currents. Zbl 1454.49043
Züst, Roger
2019
A tight bound for hypergraph regularity. Zbl 1426.05120
Moshkovitz, Guy; Shapira, Asaf
2019
Fluctuations of two dimensional Coulomb gases. Zbl 1423.60045
Leblé, Thomas; Serfaty, Sylvia
2018
Unique equilibrium states for geodesic flows in nonpositive curvature. Zbl 1401.37038
Burns, K.; Climenhaga, V.; Fisher, T.; Thompson, D. J.
2018
Gaussian-width gradient complexity, reverse log-Sobolev inequalities and nonlinear large deviations. Zbl 1428.60045
Eldan, Ronen
2018
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
2018
Low regularity conservation laws for integrable PDE. Zbl 1428.35452
Killip, Rowan; Vişan, Monica; Zhang, Xiaoyi
2018
Non-existence of faithful isometric action of compact quantum groups on compact, connected Riemannian manifolds. Zbl 1433.81103
Goswami, Debashish; Joardar, Soumalya
2018
Volumes and Siegel-Veech constants of $${\mathcal{H}}(2G - 2)$$ and Hodge integrals. Zbl 1404.14035
2018
Hyperbolic and parabolic unimodular random maps. Zbl 1459.60018
Angel, Omer; Hutchcroft, Tom; Nachmias, Asaf; Ray, Gourab
2018
Quermassintegral preserving curvature flow in hyperbolic space. Zbl 1401.53047
Andrews, Ben; Wei, Yong
2018
An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane. Zbl 1400.58010
Nadirashvili, Nikolai S.; Penskoi, Alexei V.
2018
Growth gap in hyperbolic groups and amenability. Zbl 1408.43002
Coulon, Rémi; Dal&rsquo;Bo, Françoise; Sambusetti, Andrea
2018
A logarithmic epiperimetric inequality for the obstacle problem. Zbl 1428.49042
Colombo, Maria; Spolaor, Luca; Velichkov, Bozhidar
2018
Quantitative nullhomotopy and rational homotopy type. Zbl 1408.57023
Chambers, Gregory R.; Manin, Fedor; Weinberger, Shmuel
2018
Livšic theorem for diffeomorphism cocycles. Zbl 1420.37033
Avila, Artur; Kocsard, Alejandro; Liu, Xiao-Chuan
2018
Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling. Zbl 1387.68133
Garg, Ankit; Gurvits, Leonid; Oliveira, Rafael; Wigderson, Avi
2018
Non-loose unknots, overtwisted discs, and the contact mapping class group of $$S^3$$. Zbl 1388.57022
Vogel, Thomas
2018
On dimension-free variational inequalities for averaging operators in $${\mathbb{R}^d}$$. Zbl 1402.42023
Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wróbel, Błażej
2018
Discrete uniformizing metrics on distributional limits of sphere packings. Zbl 1419.05064
Lee, James R.
2018
Diophantine approximation on matrices and Lie groups. Zbl 1440.11134
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
2018
Flattening a non-degenerate CR singular point of real codimension two. Zbl 1392.32018
Fang, Hanlong; Huang, Xiaojun
2018
Residually finite non-exact groups. Zbl 1448.20036
Osajda, Damian
2018
On the polynomial Wolff axioms. Zbl 1442.14177
Katz, Nets Hawk; Rogers, Keith M.
2018
Coordinates adapted to vector fields: canonical coordinates. Zbl 1443.58004
Stovall, Betsy; Street, Brian
2018
Equilibrium states of generalised singular value potentials and applications to affine iterated function systems. Zbl 1420.37016
Bochi, Jairo; Morris, Ian D.
2018
Bernoulli actions of type $$\mathrm{III}_{1}$$ and $$L^2$$-cohomology. Zbl 1436.20094
Vaes, Stefaan; Wahl, Jonas
2018
Eigenvectors of the 1-dimensional critical random Schrödinger operator. Zbl 1459.60013
Rifkind, Ben; Virág, Bálint
2018
A discretized Severi-type theorem with applications to harmonic analysis. Zbl 1427.14113
Zahl, Joshua
2018
Nearly circular domains which are integrable close to the boundary are ellipses. Zbl 1395.37041
Huang, Guan; Kaloshin, Vadim; Sorrentino, Alfonso
2018
Left-invariant geometries on $$\operatorname{SU}(2)$$ are uniformly doubling. Zbl 1407.53034
Eldredge, Nathaniel; Gordina, Maria; Saloff-Coste, Laurent
2018
A Gutzwiller type trace formula for the magnetic Dirac operator. Zbl 1400.81107
Savale, Nikhil
2018
The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan. Zbl 1401.37051
Wang, Jian; Zhang, Zhiyuan
2018
Average number of zeros and mixed symplectic volume of Finsler sets. Zbl 1414.52004
Akhiezer, Dmitri; Kazarnovskii, Boris
2018
Sharp finiteness principles for Lipschitz selections. Zbl 1412.46044
Fefferman, Charles; Shvartsman, Pavel
2018
Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds. Zbl 1406.57012
Lipnowski, Michael; Stern, Mark
2018
Quasisymmetries of the basilica and the Thompson group. Zbl 06910251
Lyubich, Mikhail; Merenkov, Sergei
2018
Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces. Zbl 1409.37004
2018
Techniques of constructions of variations of mixed Hodge structures. Zbl 1423.14072
Kasuya, Hisashi
2018
Soliton resolution along a sequence of times for the focusing energy critical wave equation. Zbl 1391.35276
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2017
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#### Cited by 11,432 Authors

 98 Bourgain, Jean 68 Tao, Terence 48 Shparlinski, Igor E. 42 Naor, Assaf 38 Tzvetkov, Nikolay 36 Kapovich, Ilya 33 Gigli, Nicola 33 Kenig, Carlos Eduardo 33 Merle, Frank 32 Oh, Tadahiro 32 Wise, Daniel T. 31 Raphael, Pierre 31 Wei, Juncheng 30 Ambrosio, Luigi 30 Himonas, A. Alexandrou 29 Fox, Jacob 29 Lee, Sanghyuk 29 Lubotzky, Alexander 29 Peres, Yuval 29 Shkredov, Il’ya Dmitrievich 28 Shanmugalingam, Nageswari 27 Martel, Yvan 27 Schlag, Wilhelm 26 Iosevich, Alex 25 Guth, Lawrence David 25 Hug, Daniel 24 Caprace, Pierre-Emmanuel 23 Chang, Mei-Chu 23 Koldobsky, Alexander L. 23 Paouris, Grigoris 23 Sisto, Alessandro 23 Smith, Ivan 23 Zhang, Bingyu 22 Bobkov, Sergey Germanovich 22 Cheltsov, Ivan Anatol’evich 22 Figalli, Alessio 22 Geng, Jiansheng 22 Mendelson, Shahar 22 Myasnikov, Alexei G. 22 Verbitsky, Misha 21 Björn, Jana 21 Bridson, Martin R. 21 Guo, Zihua 21 Klartag, Bo’az 21 Koh, Doowon 21 Lytchak, Alexander 21 Malchiodi, Andrea 21 Ponge, Raphaël S. 21 Tomczak-Jaegermann, Nicole 20 Bernig, Andreas 20 Damanik, David 20 Leininger, Christopher J. 20 Mj, Mahan 20 Sukochev, Fedor Anatol’evich 19 Cheeger, Jeff 19 Curien, Nicolas 19 Dahmani, François 19 Kapovich, Michael 19 Lee, James R. 19 Monod, Nicolas 19 Uhlmann, Gunther Alberto 19 Vu, Van H. 19 Yan, Wei 18 Frauenfelder, Urs Adrian 18 Green, Ben Joseph 18 Junge, Marius 18 Kappeler, Thomas 18 Mejjaoli, Hatem 18 Misiołek, Gerard 18 Osin, Denis V. 18 Parlier, Hugo 18 Rafi, Kasra 18 Shmerkin, Pablo S. 18 Staffilani, Gigliola 18 Yu, Guoliang 18 Zelditch, Steve 17 Björn, Anders 17 Blomer, Valentin 17 Böröczky, Karoly jun. 17 Gelander, Tsachik 17 Giannopoulos, Apostolos A. 17 Hagen, Mark F. 17 Jost, Jürgen 17 Katz, Mikhail G. 17 Kleiner, Bruce 17 Koberda, Thomas 17 Lin, Chang-Shou 17 Miao, Changxing 17 Nešetřil, Jaroslav 17 Pham Van Thang 17 Tessera, Romain 17 Vinh, Le Anh 17 Wu, Jiahong 17 You, Jiangong 16 Alesker, Semyon 16 Azzam, Jonas 16 Benjamini, Itai 16 Breuillard, Emmanuel 16 Chen, Xiuxiong 16 Constantin, Peter ...and 11,332 more Authors
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#### Cited in 626 Journals

 556 Advances in Mathematics 547 Journal of Functional Analysis 523 Transactions of the American Mathematical Society 398 Proceedings of the American Mathematical Society 337 Communications in Mathematical Physics 336 Mathematische Annalen 332 Geometric and Functional Analysis. GAFA 307 Israel Journal of Mathematics 293 Duke Mathematical Journal 265 The Journal of Geometric Analysis 257 Geometriae Dedicata 249 Journal of Mathematical Analysis and Applications 245 Geometry & Topology 234 Mathematische Zeitschrift 233 Inventiones Mathematicae 223 Journal of Differential Equations 203 Calculus of Variations and Partial Differential Equations 179 Annales de l’Institut Fourier 158 Comptes Rendus. Mathématique. Académie des Sciences, Paris 145 Algebraic & Geometric Topology 143 Ergodic Theory and Dynamical Systems 141 Journal of the American Mathematical Society 141 Annals of Mathematics. Second Series 136 Journal of Geometry and Physics 135 Journal für die Reine und Angewandte Mathematik 134 Journal of the European Mathematical Society (JEMS) 127 Journal of Mathematical Physics 127 The Annals of Probability 124 Journal d’Analyse Mathématique 123 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 121 Journal of Topology and Analysis 116 Communications in Partial Differential Equations 113 Annals of Global Analysis and Geometry 110 Discrete and Continuous Dynamical Systems 107 Differential Geometry and its Applications 106 Compositio Mathematica 104 Journal de Mathématiques Pures et Appliquées. Neuvième Série 103 Groups, Geometry, and Dynamics 102 Revista Matemática Iberoamericana 102 International Journal of Mathematics 101 Journal of Number Theory 95 Mathematical Proceedings of the Cambridge Philosophical Society 95 Probability Theory and Related Fields 91 Archive for Rational Mechanics and Analysis 90 Journal of Algebra 86 Selecta Mathematica. New Series 85 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 83 Topology and its Applications 83 Discrete & Computational Geometry 80 Communications in Contemporary Mathematics 74 European Journal of Combinatorics 69 Bulletin of the American Mathematical Society. New Series 67 Mathematika 65 Memoirs of the American Mathematical Society 64 Manuscripta Mathematica 63 Journal of Statistical Physics 60 International Journal of Algebra and Computation 60 Acta Mathematica Sinica. English Series 60 Science China. Mathematics 59 The Journal of Fourier Analysis and Applications 58 Acta Mathematica 58 SIAM Journal on Mathematical Analysis 56 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 55 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 54 Communications on Pure and Applied Mathematics 54 Potential Analysis 53 Annales Henri Poincaré 49 Nonlinearity 46 Letters in Mathematical Physics 46 Combinatorics, Probability and Computing 46 Journal of Modern Dynamics 44 Forum Mathematicum 42 Illinois Journal of Mathematics 42 Journal of Mathematical Sciences (New York) 41 St. Petersburg Mathematical Journal 41 Journal of Noncommutative Geometry 40 Physica D 40 Journal of Topology 39 Annali di Matematica Pura ed Applicata. Serie Quarta 39 Archiv der Mathematik 39 Publications Mathématiques 39 Journal of Combinatorial Theory. Series A 39 Combinatorica 39 Communications on Pure and Applied Analysis 38 Journal of Dynamics and Differential Equations 38 Analysis and Geometry in Metric Spaces 37 Journal of the Mathematical Society of Japan 37 International Journal of Number Theory 37 Forum of Mathematics, Sigma 36 Commentarii Mathematici Helvetici 36 Monatshefte für Mathematik 35 Michigan Mathematical Journal 35 Chinese Annals of Mathematics. Series B 35 Random Structures & Algorithms 35 Journal of High Energy Physics 34 Journal of the London Mathematical Society. Second Series 33 Bulletin of the London Mathematical Society 33 Journal of the Institute of Mathematics of Jussieu 33 Analysis & PDE 32 Pacific Journal of Mathematics ...and 526 more Journals
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#### Cited in 63 Fields

 3,388 Differential geometry (53-XX) 3,163 Partial differential equations (35-XX) 1,770 Global analysis, analysis on manifolds (58-XX) 1,723 Dynamical systems and ergodic theory (37-XX) 1,669 Group theory and generalizations (20-XX) 1,528 Number theory (11-XX) 1,470 Manifolds and cell complexes (57-XX) 1,439 Functional analysis (46-XX) 1,364 Probability theory and stochastic processes (60-XX) 1,085 Combinatorics (05-XX) 942 Topological groups, Lie groups (22-XX) 914 Several complex variables and analytic spaces (32-XX) 787 Algebraic geometry (14-XX) 784 Convex and discrete geometry (52-XX) 752 Functions of a complex variable (30-XX) 680 Harmonic analysis on Euclidean spaces (42-XX) 597 Operator theory (47-XX) 550 Measure and integration (28-XX) 536 Quantum theory (81-XX) 496 Calculus of variations and optimal control; optimization (49-XX) 372 Fluid mechanics (76-XX) 345 Real functions (26-XX) 344 Statistical mechanics, structure of matter (82-XX) 341 Abstract harmonic analysis (43-XX) 274 Computer science (68-XX) 270 General topology (54-XX) 255 Geometry (51-XX) 231 Potential theory (31-XX) 226 Algebraic topology (55-XX) 214 $$K$$-theory (19-XX) 211 Mathematical logic and foundations (03-XX) 185 Linear and multilinear algebra; matrix theory (15-XX) 164 Ordinary differential equations (34-XX) 157 Relativity and gravitational theory (83-XX) 152 Numerical analysis (65-XX) 150 Information and communication theory, circuits (94-XX) 149 Nonassociative rings and algebras (17-XX) 123 Statistics (62-XX) 118 Category theory; homological algebra (18-XX) 110 Associative rings and algebras (16-XX) 106 Mechanics of particles and systems (70-XX) 95 Special functions (33-XX) 91 Integral transforms, operational calculus (44-XX) 73 Operations research, mathematical programming (90-XX) 72 Difference and functional equations (39-XX) 55 Approximations and expansions (41-XX) 54 Biology and other natural sciences (92-XX) 50 Order, lattices, ordered algebraic structures (06-XX) 50 Systems theory; control (93-XX) 48 Mechanics of deformable solids (74-XX) 46 Geophysics (86-XX) 39 Commutative algebra (13-XX) 38 Optics, electromagnetic theory (78-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Field theory and polynomials (12-XX) 27 General and overarching topics; collections (00-XX) 26 History and biography (01-XX) 26 Integral equations (45-XX) 11 General algebraic systems (08-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Astronomy and astrophysics (85-XX) 2 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)