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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

31, No. 2 (2021)
31, No. 1 (2021)
30, No. 6 (2020)
30, No. 5 (2020)
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15, No. 2 (2005)
15, No. 1 (2005)
14, No. 6 (2004)
14, No. 5 (2004)
...and 76 more Volumes
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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

373 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)
122 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)
98 Functions of a complex variable (30-XX)
90 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)

Publications by Year

Citations contained in zbMATH Open

1,188 Publications have been cited 20,938 times in 15,566 Documents Cited by Year
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations. Zbl 0787.35097
Bourgain, J.
440
1993
Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018
Cheeger, J.
397
1999
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation. Zbl 0787.35098
Bourgain, J.
359
1993
Geometry of the complex of curves. II: Hierarchical structure. Zbl 0972.32011
Masur, H. A.; Minsky, Y. N.
198
2000
A new proof of Szemerédi’s theorem. Zbl 1028.11005
Gowers, W. T.
191
2001
The local index formula in noncommutative geometry. Zbl 0960.46048
Connes, A.; Moscovici, H.
182
1995
A sum-product estimate in finite fields, and applications. Zbl 1145.11306
Bourgain, Jean; Katz, N.; Tao, Terence C.
165
2004
Random walk in random groups. Zbl 1122.20021
Gromov, M.
160
2003
Polar factorization of maps on Riemannian manifolds. Zbl 1011.58009
McCann, Robert J.
148
2001
Transportation cost for Gaussian and other product measures. Zbl 0859.46030
Talagrand, M.
147
1996
Relatively hyperbolic groups. Zbl 0985.20027
Farb, B.
143
1998
Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078
Constantin, Peter; Vicol, Vlad
137
2012
Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014
Kechris, A. S.; Pestov, V. G.; Todorcevic, S.
131
2005
Special cube complexes. Zbl 1155.53025
Haglund, Frédéric; Wise, Daniel T.
120
2008
Embeddings of Gromov hyperbolic spaces. Zbl 0972.53021
Bonk, M.; Schramm, O.
117
2000
Functors and computations in Floer homology with applications. I. Zbl 0954.57015
Viterbo, C.
113
1999
A sharp bilinear restriction estimate for paraboloids. Zbl 1068.42011
Tao, Terence C.
109
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
Besson, G.; Courtois, G.; Gallot, S.
105
1995
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
105
2003
Concentration of mass on convex bodies. Zbl 1114.52004
Paouris, G.
105
2006
On the Cauchy problem for the Kadomtsev-Petviashvili equation. Zbl 0787.35086
Bourgain, J.
93
1993
A new proof of Szemerédi’s theorem for arithmetic progressions of length four. Zbl 0907.11005
Gowers, W. T.
93
1998
On convex perturbations with a bounded isotropic constant. Zbl 1113.52014
Klartag, B.
93
2006
Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043
Higson, N.; Lafforgue, V.; Skandalis, G.
92
2002
Description of translation invariant valuations on convex sets with solution of P. McMullen’s conjecture. Zbl 0995.52001
Alesker, S.
88
2001
Besicovitch type maximal operators and applications to Fourier analysis. Zbl 0756.42014
Bourgain, J.
87
1991
Bounds on oscillatory integral operators based on multilinear estimates. Zbl 1237.42010
Bourgain, Jean; Guth, Larry
87
2011
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
82
2002
Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on \(S^ n\). Zbl 0754.47041
Carlen, E.; Loss, M.
81
1992
Approximating \(L^ 2\)-invariants by their finite-dimensional analogues. Zbl 0853.57021
Lück, W.
77
1994
On Selberg’s eigenvalue conjecture. Zbl 0844.11038
Luo, W.; Rudnick, Z.; Sarnak, P.
75
1995
Construction of periodic solutions of nonlinear wave equations in higher dimension. Zbl 0834.35083
Bourgain, Jean
74
1995
Group-invariant percolation on graphs. Zbl 0924.43002
Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O.
73
1999
A Szemerédi-type regularity lemma in abelian groups, with applications. Zbl 1160.11314
Green, Ben
72
2005
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
71
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.
70
1996
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Zbl 1061.35135
Merle, Frank; Raphaël, Pierre
70
2003
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
69
1998
Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality. Zbl 0962.30006
Laakso, T. J.
68
2000
Szemerédi’s lemma for the analyst. Zbl 1123.46020
Lovász, László; Szegedy, Balász
66
2007
On triples in arithmetic progression. Zbl 0959.11004
Bourgain, Jean
64
1999
Diophantine geometry over groups. VI: The elementary theory of a free group. Zbl 1118.20035
Sela, Z.
63
2006
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
Gromov, Mikhail
63
2010
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
62
1997
A variational approach for compact homogeneous Einstein manifolds. Zbl 1068.53029
Böhm, C.; Wang, M.; Ziller, W.
62
2004
Extremal Kähler metrics and complex deformation theory. Zbl 0801.53050
LeBrun, C.; Simanca, S. R.
61
1994
Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations. Zbl 0872.35007
Bourgain, Jean
61
1996
Continuous bounded cohomology and applications to rigidity theory. Zbl 1006.22010
Burger, M.; Monod, N.
61
2002
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
61
2002
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
61
2008
On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture. Zbl 1216.11057
Ichino, Atsushi; Ikeda, Tamotsu
60
2010
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
60
2009
Asymptotic properties of linear groups. (Propriétés asymptotiques des groupes linéaires.) Zbl 0947.22003
Bénoist, Y.
59
1997
Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II. Zbl 0884.20025
Sela, Z.
59
1997
Relative volume comparison with integral curvature bounds. Zbl 0910.53029
Petersen, P.; Wei, G.
59
1997
A measure concentration inequality for contracting Markov chains. Zbl 0856.60072
Marton, K.
58
1996
The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044
Ghoussoub, N.; Robert, F.
57
2006
Rank rigidity for CAT(0) cube complexes. Zbl 1266.20054
Caprace, Pierre-Emmanuel; Sageev, Michah
56
2011
Property (T) and Kazhdan constants for discrete groups. Zbl 1036.22004
Żuk, Andrzej
56
2003
The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
56
2003
From the Mahler conjecture to Gauss linking integrals. Zbl 1169.52004
Kuperberg, Greg
56
2008
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
55
2011
Local smoothing type estimates on \(L^p\) for large \(p\). Zbl 0972.42005
Wolff, T.
55
2000
Growth and percolation on the uniform infinite planar triangulation. Zbl 1039.60085
Angel, Omer
55
2003
A bilinear approach to cone multipliers. II: Applications. Zbl 0949.42013
Tao, Terence C.; Vargas, Ana M.
54
2000
Some deviation inequalities. Zbl 0756.60018
Maurey, B.
52
1991
Heat kernel and Green function estimates on noncompact symmetric spaces. Zbl 0942.43005
Anker, J.-P.; Ji, L.
52
1999
Instability of solitons for the critical generalized Korteweg-de Vries equation. Zbl 0985.35071
Martel, Y.; Merle, F.
52
2001
A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation. Zbl 0999.35069
Katz, N. H.; Pavlović, N.
52
2002
Floer homology and the heat flow. Zbl 1118.53056
Salamon, D. A.; Weber, J.
52
2006
Embedding Riemannian manifolds by their heat kernel. Zbl 0806.53044
Bérard, P.; Besson, G.; Gallot, S.
51
1994
Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027
Hofer, H.; Wysocki, K.; Zehnder, E.
51
1995
Cubulating small cancellation groups. Zbl 1071.20038
Wise, D. T.
50
2004
Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
50
2007
Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel. Zbl 1147.33004
Schapira, Bruno
50
2008
Dynamic of threshold solutions for energy-critical NLS. Zbl 1232.35150
Duyckaerts, Thomas; Merle, Frank
50
2009
Moments of two-variable functions and the uniqueness of graph limits. Zbl 1223.05193
Borgs, Christian; Chayes, Jennifer; Lovász, László
50
2010
Exponential sums and nonlinear Schrödinger equations. Zbl 0787.35096
Bourgain, J.
48
1993
An equivalence of fusion categories. Zbl 0860.17040
Finkelberg, M.
48
1996
A functional analytic approach to intersection bodies. Zbl 0974.52002
Koldobsky, A.
48
2000
Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050
Ball, K.
47
1992
Lower bounds of tower type for Szemerédi’s uniformity lemma. Zbl 0876.05053
Gowers, W. T.
47
1997
On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes. Zbl 0897.22007
Ballmann, W.; Świątkowski, J.
47
1997
A bilinear approach to cone multipliers. I: Restriction estimates. Zbl 0949.42012
Tao, Terence C.; Vargas, Ana M.
47
2000
The multiplicative structure on continuous polynomial valuations. Zbl 1072.52011
Alesker, S.
47
2004
On the Erdős-Volkmann and Katz-Tao ring conjectures. Zbl 1115.11049
Bourgain, J.
46
2003
Riemannian tori without conjugate points are flat. Zbl 0808.53038
Burago, D.; Ivanov, S.
46
1994
Berger’s isoperimetric problem and minimal immersions of surfaces. Zbl 0868.58079
Nadirashvili, N.
46
1996
Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
46
2012
\(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings. Zbl 0928.53042
Seidel, P.
45
1997
Conformally invariant systems of nonlinear PDE of Liouville type. Zbl 0858.35035
Chanillo, S.; Kiessling, M. K.-H.
45
1995
Lipschitz maps and nets in Euclidean space. Zbl 0941.37030
McMullen, C. T.
45
1998
A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies. Zbl 1277.37089
Avila, Artur; Fayad, Bassam; Krikorian, Raphaël
45
2011
Random walks on graphs with regular volume growth. Zbl 0918.60053
Coulhon, T.; Grigoryan, A.
44
1998
Kirszbraun’s theorem and metric spaces of bounded curvature. Zbl 0891.53046
Lang, U.; Schroeder, V.
43
1997
Random matrices: The distribution of the smallest singular values. Zbl 1210.60014
Tao, Terence; Vu, Van
42
2010
Log canonical thresholds of del Pezzo surfaces. Zbl 1161.14030
Cheltsov, Ivan
41
2008
Harmonic analysis of translation invariant valuations. Zbl 1228.53088
Alesker, Semyon; Bernig, Andreas; Schuster, Franz E.
41
2011
On the Busemann-Petty problem for perturbations of the ball. Zbl 0752.52001
Bourgain, J.
41
1991
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
41
2016
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
7
2020
Symmetry results for critical anisotropic \(p\)-Laplacian equations in convex cones. Zbl 1453.35104
Ciraolo, Giulio; Figalli, Alessio; Roncoroni, Alberto
5
2020
Anderson localization for multi-frequency quasi-periodic operators on \(\mathbb{Z}^d\). Zbl 07219753
Jitomirskaya, Svetlana; Liu, Wencai; Shi, Yunfeng
4
2020
Symplectic cohomology rings of affine varieties in the topological limit. Zbl 1451.53118
Ganatra, Sheel; Pomerleano, Daniel
2
2020
Laplacian algebras, manifold submetries and the inverse invariant theory problem. Zbl 1446.53016
Mendes, Ricardo A. E.; Radeschi, Marco
2
2020
Flows on the PGL(V)-Hitchin component. Zbl 07219757
Sun, Zhe; Wienhard, Anna; Zhang, Tengren
2
2020
Non-simplicity of isocontact embeddings in all higher dimensions. Zbl 1436.53054
Casals, Roger; Etnyre, John B.
2
2020
On the random wave conjecture for dihedral Maaß forms. Zbl 1462.11041
Humphries, Peter; Khan, Rizwanur
2
2020
Contact manifolds with flexible fillings. Zbl 1436.53055
Lazarev, Oleg
2
2020
Edge rigidity and universality of random regular graphs of intermediate degree. Zbl 1453.05117
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer
2
2020
Arithmetic version of Anderson localization via reducibility. Zbl 1454.82017
Ge, Lingrui; You, Jiangong
2
2020
A landing theorem for entire functions with bounded post-singular sets. Zbl 1461.37047
Benini, Anna Miriam; Rempe, Lasse
2
2020
Traceless AF embeddings and unsuspended \(E\)-theory. Zbl 1466.46050
Gabe, James
1
2020
Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds. Zbl 1436.49054
Schulze, Felix
1
2020
Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines. Zbl 1436.30009
Viklund, Fredrik; Wang, Yilin
1
2020
Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps. Zbl 07248827
Müller, Werner; Rochon, Frédéric
1
2020
Small cap decouplings. With an appendix by D. R. Heath-Brown. Zbl 1454.42008
Demeter, Ciprian; Guth, Larry; Wang, Hong
1
2020
Properties of high rank subvarieties of affine spaces. Zbl 1460.14138
Kazhdan, David; Ziegler, Tamar
1
2020
A long neck principle for Riemannian spin manifolds with positive scalar curvature. Zbl 1455.58008
Cecchini, Simone
1
2020
Regularity of area minimizing currents mod \(p\). Zbl 1456.49032
De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore
1
2020
Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows. Zbl 07286400
Sturm, Karl-Theodor
1
2020
Geodesically complete spaces with an upper curvature bound. Zbl 1412.53058
Lytchak, Alexander; Nagano, Koichi
9
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
9
2019
Anderson localization for two interacting quasiperiodic particles. Zbl 07040581
Bourgain, Jean; Kachkovskiy, Ilya
7
2019
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Zbl 1420.49046
Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip
7
2019
A steady Euler flow with compact support. Zbl 1414.35157
Gavrilov, A. V.
6
2019
An \(L^2\)-identity and pinned distance problem. Zbl 1416.28005
Liu, Bochen
6
2019
Large genus asymptotics for Siegel-Veech constants. Zbl 1427.14053
Aggarwal, Amol
6
2019
Application of signal analysis to the embedding problem of \({\mathbb{Z}}^k\)-actions. Zbl 1427.37013
Gutman, Yonatan; Qiao, Yixiao; Tsukamoto, Masaki
6
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
6
2019
Finitary random interlacements and the Gaboriau-Lyons problem. Zbl 1418.37005
Bowen, Lewis
6
2019
Long-time existence for multi-dimensional periodic water waves. Zbl 1420.35243
Ionescu, A. D.; Pusateri, F.
6
2019
Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components. Zbl 1447.58013
Mondello, Gabriele; Panov, Dmitri
6
2019
Synthesizable differentiation-invariant subspaces. Zbl 1423.30038
Baranov, Anton; Belov, Yurii
5
2019
New bounds on the dimensions of planar distance sets. Zbl 1428.28005
Keleti, Tamás; Shmerkin, Pablo
5
2019
The base change in the Atiyah and the Lück approximation conjectures. Zbl 1453.20007
Jaikin-Zapirain, Andrei
5
2019
Percolation on hyperbolic graphs. Zbl 07073753
Hutchcroft, Tom
5
2019
Double variational principle for mean dimension. Zbl 1433.37025
Lindenstrauss, Elon; Tsukamoto, Masaki
5
2019
Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018
Cao, Yongluo; Pesin, Yakov; Zhao, Yun
4
2019
Small gaps of GOE. Zbl 1434.60025
Feng, Renjie; Tian, Gang; Wei, Dongyi
4
2019
The Weyl law for the phase transition spectrum and density of limit interfaces. Zbl 1416.53009
Gaspar, Pedro; Guaraco, Marco A. M.
4
2019
The sparse circular law under minimal assumptions. Zbl 1442.15058
Rudelson, Mark; Tikhomirov, Konstantin
4
2019
Density of algebraic points on Noetherian varieties. Zbl 07040583
Binyamini, Gal
3
2019
Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian. Zbl 1430.58022
Jitomirskaya, Svetlana; Liu, Wencai
3
2019
Affine actions with Hitchin linear part. Zbl 1427.57028
Danciger, Jeffrey; Zhang, Tengren
3
2019
Pointwise lower scalar curvature bounds for \(C^0\) metrics via regularizing Ricci flow. Zbl 1430.53042
Burkhardt-Guim, Paula
3
2019
On the Yang-Yau inequality for the first Laplace eigenvalue. Zbl 1429.58040
Karpukhin, Mikhail
3
2019
Gaps in scl for amalgamated free products and RAAGs. Zbl 07040586
Heuer, Nicolaus
2
2019
Bipolar comparison. Zbl 07040588
Lebedeva, Nina; Petrunin, Anton; Zolotov, Vladimir
2
2019
Polynomial bound for partition rank in terms of analytic rank. Zbl 1442.11027
Milićević, Luka
2
2019
Incidence estimates for well spaced tubes. Zbl 1460.52017
Guth, Larry; Solomon, Noam; Wang, Hong
2
2019
Geodesic currents and counting problems. Zbl 1420.30012
Rafi, Kasra; Souto, Juan
2
2019
A gluing construction of collapsing Calabi-Yau metrics on \(K3\) fibred 3-folds. Zbl 1440.53054
Li, Yang
2
2019
Badly approximable points on manifolds and unipotent orbits in homogeneous spaces. Zbl 07091756
Yang, Lei
2
2019
Characterizing spaces satisfying Poincaré inequalities and applications to differentiability. Zbl 1415.30033
Eriksson-Bique, Sylvester
1
2019
A tight bound for hypergraph regularity. Zbl 1426.05120
Moshkovitz, Guy; Shapira, Asaf
1
2019
Half-dimensional collapse of ends of manifolds of nonpositive curvature. Zbl 1432.53050
Avramidi, Grigori; Nguyễn-Phan, T. Tâm
1
2019
On loops intersecting at most once. Zbl 1435.57020
Greene, Joshua Evan
1
2019
Riemannian curvature measures. Zbl 1432.53021
Fu, Joseph H. G.; Wannerer, Thomas
1
2019
On the symplectic size of convex polytopes. Zbl 1425.53097
Haim-Kislev, Pazit
1
2019
Harmonic maps for Hitchin representations. Zbl 07058365
Li, Qiongling
1
2019
Functions of bounded fractional variation and fractal currents. Zbl 1454.49043
Züst, Roger
1
2019
Fluctuations of two dimensional Coulomb gases. Zbl 1423.60045
Leblé, Thomas; Serfaty, Sylvia
24
2018
Gaussian-width gradient complexity, reverse log-Sobolev inequalities and nonlinear large deviations. Zbl 1428.60045
Eldan, Ronen
19
2018
Unique equilibrium states for geodesic flows in nonpositive curvature. Zbl 1401.37038
Burns, K.; Climenhaga, V.; Fisher, T.; Thompson, D. J.
18
2018
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
16
2018
Low regularity conservation laws for integrable PDE. Zbl 1428.35452
Killip, Rowan; Vişan, Monica; Zhang, Xiaoyi
14
2018
Non-existence of faithful isometric action of compact quantum groups on compact, connected Riemannian manifolds. Zbl 1433.81103
Goswami, Debashish; Joardar, Soumalya
10
2018
Volumes and Siegel-Veech constants of \({\mathcal{H}}(2G - 2)\) and Hodge integrals. Zbl 1404.14035
Sauvaget, Adrien
9
2018
Hyperbolic and parabolic unimodular random maps. Zbl 1459.60018
Angel, Omer; Hutchcroft, Tom; Nachmias, Asaf; Ray, Gourab
9
2018
Quermassintegral preserving curvature flow in hyperbolic space. Zbl 1401.53047
Andrews, Ben; Wei, Yong
8
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.
8
2018
Growth gap in hyperbolic groups and amenability. Zbl 1408.43002
Coulon, Rémi; Dal’Bo, Françoise; Sambusetti, Andrea
7
2018
A logarithmic epiperimetric inequality for the obstacle problem. Zbl 1428.49042
Colombo, Maria; Spolaor, Luca; Velichkov, Bozhidar
7
2018
Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling. Zbl 1387.68133
Garg, Ankit; Gurvits, Leonid; Oliveira, Rafael; Wigderson, Avi
6
2018
Non-loose unknots, overtwisted discs, and the contact mapping class group of \(S^3\). Zbl 1388.57022
Vogel, Thomas
6
2018
Quantitative nullhomotopy and rational homotopy type. Zbl 1408.57023
Chambers, Gregory R.; Manin, Fedor; Weinberger, Shmuel
6
2018
Livšic theorem for diffeomorphism cocycles. Zbl 1420.37033
Avila, Artur; Kocsard, Alejandro; Liu, Xiao-Chuan
6
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
5
2018
Diophantine approximation on matrices and Lie groups. Zbl 1440.11134
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
4
2018
Flattening a non-degenerate CR singular point of real codimension two. Zbl 1392.32018
Fang, Hanlong; Huang, Xiaojun
4
2018
Residually finite non-exact groups. Zbl 1448.20036
Osajda, Damian
4
2018
Discrete uniformizing metrics on distributional limits of sphere packings. Zbl 1419.05064
Lee, James R.
4
2018
Bernoulli actions of type \(\mathrm{III}_{1}\) and \(L^2\)-cohomology. Zbl 1436.20094
Vaes, Stefaan; Wahl, Jonas
3
2018
On the polynomial Wolff axioms. Zbl 1442.14177
Katz, Nets Hawk; Rogers, Keith M.
3
2018
Coordinates adapted to vector fields: canonical coordinates. Zbl 1443.58004
Stovall, Betsy; Street, Brian
3
2018
Equilibrium states of generalised singular value potentials and applications to affine iterated function systems. Zbl 1420.37016
Bochi, Jairo; Morris, Ian D.
3
2018
Nearly circular domains which are integrable close to the boundary are ellipses. Zbl 1395.37041
Huang, Guan; Kaloshin, Vadim; Sorrentino, Alfonso
2
2018
Eigenvectors of the 1-dimensional critical random Schrödinger operator. Zbl 1459.60013
Rifkind, Ben; Virág, Bálint
2
2018
A discretized Severi-type theorem with applications to harmonic analysis. Zbl 1427.14113
Zahl, Joshua
2
2018
Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces. Zbl 1409.37004
Mohammadi, Amir; Golsefidy, Alireza Salehi
1
2018
Techniques of constructions of variations of mixed Hodge structures. Zbl 1423.14072
Kasuya, Hisashi
1
2018
Quasisymmetries of the basilica and the Thompson group. Zbl 06910251
Lyubich, Mikhail; Merenkov, Sergei
1
2018
Left-invariant geometries on \(\operatorname{SU}(2)\) are uniformly doubling. Zbl 1407.53034
Eldredge, Nathaniel; Gordina, Maria; Saloff-Coste, Laurent
1
2018
A Gutzwiller type trace formula for the magnetic Dirac operator. Zbl 1400.81107
Savale, Nikhil
1
2018
The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan. Zbl 1401.37051
Wang, Jian; Zhang, Zhiyuan
1
2018
Average number of zeros and mixed symplectic volume of Finsler sets. Zbl 1414.52004
Akhiezer, Dmitri; Kazarnovskii, Boris
1
2018
Sharp finiteness principles for Lipschitz selections. Zbl 1412.46044
Fefferman, Charles; Shvartsman, Pavel
1
2018
Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds. Zbl 1406.57012
Lipnowski, Michael; Stern, Mark
1
2018
Soliton resolution along a sequence of times for the focusing energy critical wave equation. Zbl 1391.35276
Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank
27
2017
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Cited by 11,430 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
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Cited in 626 Journals

556 Advances in Mathematics
545 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 Science China. Mathematics
59 The Journal of Fourier Analysis and Applications
59 Acta Mathematica Sinica. English Series
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
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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
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Cited in 63 Fields

3,386 Differential geometry (53-XX)
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944 Topological groups, Lie groups (22-XX)
914 Several complex variables and analytic spaces (32-XX)
788 Algebraic geometry (14-XX)
784 Convex and discrete geometry (52-XX)
751 Functions of a complex variable (30-XX)
680 Harmonic analysis on Euclidean spaces (42-XX)
598 Operator theory (47-XX)
549 Measure and integration (28-XX)
534 Quantum theory (81-XX)
496 Calculus of variations and optimal control; optimization (49-XX)
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156 Relativity and gravitational theory (83-XX)
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150 Information and communication theory, circuits (94-XX)
149 Nonassociative rings and algebras (17-XX)
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105 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)
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50 Order, lattices, ordered algebraic structures (06-XX)
50 Systems theory; control (93-XX)
48 Mechanics of deformable solids (74-XX)
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38 Commutative algebra (13-XX)
37 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)
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