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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: 1,296 Publications (since 1991)
References Indexed: 751 Publications with 22,353 References.
all top 5

Latest Issues

32, No. 4 (2022)
32, No. 3 (2022)
32, No. 2 (2022)
32, No. 1 (2022)
31, No. 6 (2021)
31, No. 5 (2021)
31, No. 4 (2021)
31, No. 3 (2021)
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17, No. 6 (2008)
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16, No. 6 (2006)
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16, No. 4 (2006)
16, No. 3 (2006)
16, No. 2 (2006)
16, No. 1 (2006)
...and 84 more Volumes
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Authors

34 Bourgain, Jean
13 Tao, Terence
11 Gromov, Mikhael Leonidovich
10 Cheeger, Jeff
9 Guth, Lawrence David
9 Nabutovsky, Alexander
8 Burago, Dmitri
8 Kazhdan, David A.
8 Peres, Yuval
7 Alon, Noga M.
7 Ivanov, Sergei Vladimirovich
7 Kuksin, Sergeĭ B.
7 Lee, James R.
7 Merle, Frank
6 Alesker, Semyon
6 Gowers, William Timothy
6 Kapovich, Michael
6 Masur, Howard A.
6 Müller, Werner
6 Nadirashvili, Nikolai S.
6 Oh, Hee
6 Rong, Xiaochun
6 Rotman, Regina
6 Talagrand, Michel
6 Verbitsky, Misha
6 Zelditch, Steve
5 Anderson, Michael T.
5 Bogomolov, Fedor Alekseivich
5 Eliashberg, Yakov Matveevich
5 Etingof, Pavel Il’ich
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 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 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 Solomon, Jake P.
4 Sudakov, Benny
4 Tolsa, Xavier
4 Tschinkel, Yuri
3 Adams, Scot
3 Avila, Artur
3 Avni, Nir
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
...and 1,397 more Authors
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Fields

391 Differential geometry (53-XX)
197 Global analysis, analysis on manifolds (58-XX)
178 Dynamical systems and ergodic theory (37-XX)
178 Manifolds and cell complexes (57-XX)
150 Number theory (11-XX)
138 Group theory and generalizations (20-XX)
129 Partial differential equations (35-XX)
121 Several complex variables and analytic spaces (32-XX)
116 Functional analysis (46-XX)
111 Topological groups, Lie groups (22-XX)
105 Functions of a complex variable (30-XX)
97 Algebraic geometry (14-XX)
94 Probability theory and stochastic processes (60-XX)
79 Combinatorics (05-XX)
72 Convex and discrete geometry (52-XX)
53 Measure and integration (28-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
42 Operator theory (47-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
36 Abstract harmonic analysis (43-XX)
33 Quantum theory (81-XX)
22 Potential theory (31-XX)
22 General topology (54-XX)
20 Algebraic topology (55-XX)
19 Real functions (26-XX)
18 Statistical mechanics, structure of matter (82-XX)
17 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 Information and communication theory, circuits (94-XX)
10 Mathematical logic and foundations (03-XX)
10 Geometry (51-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 Commutative algebra (13-XX)
3 Operations research, mathematical programming (90-XX)
2 Field theory and polynomials (12-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

1,227 Publications have been cited 23,572 times in 17,506 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.
492
1993
Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018
Cheeger, J.
438
1999
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation. Zbl 0787.35098
Bourgain, J.
388
1993
A new proof of Szemerédi’s theorem. Zbl 1028.11005
Gowers, W. T.
224
2001
Geometry of the complex of curves. II: Hierarchical structure. Zbl 0972.32011
Masur, H. A.; Minsky, Y. N.
218
2000
The local index formula in noncommutative geometry. Zbl 0960.46048
Connes, A.; Moscovici, H.
193
1995
A sum-product estimate in finite fields, and applications. Zbl 1145.11306
Bourgain, Jean; Katz, N.; Tao, Terence C.
174
2004
Random walk in random groups. Zbl 1122.20021
Gromov, M.
172
2003
Transportation cost for Gaussian and other product measures. Zbl 0859.46030
Talagrand, M.
156
1996
Relatively hyperbolic groups. Zbl 0985.20027
Farb, B.
155
1998
Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078
Constantin, Peter; Vicol, Vlad
154
2012
Polar factorization of maps on Riemannian manifolds. Zbl 1011.58009
McCann, Robert J.
153
2001
Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014
Kechris, A. S.; Pestov, V. G.; Todorcevic, S.
151
2005
Special cube complexes. Zbl 1155.53025
Haglund, Frédéric; Wise, Daniel T.
135
2008
Embeddings of Gromov hyperbolic spaces. Zbl 0972.53021
Bonk, M.; Schramm, O.
128
2000
Functors and computations in Floer homology with applications. I. Zbl 0954.57015
Viterbo, C.
126
1999
A sharp bilinear restriction estimate for paraboloids. Zbl 1068.42011
Tao, Terence C.
124
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.
122
1995
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
121
2003
Concentration of mass on convex bodies. Zbl 1114.52004
Paouris, G.
114
2006
Bounds on oscillatory integral operators based on multilinear estimates. Zbl 1237.42010
Bourgain, Jean; Guth, Larry
108
2011
On convex perturbations with a bounded isotropic constant. Zbl 1113.52014
Klartag, B.
103
2006
A new proof of Szemerédi’s theorem for arithmetic progressions of length four. Zbl 0907.11005
Gowers, W. T.
102
1998
Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043
Higson, N.; Lafforgue, V.; Skandalis, G.
99
2002
Besicovitch type maximal operators and applications to Fourier analysis. Zbl 0756.42014
Bourgain, J.
99
1991
On the Cauchy problem for the Kadomtsev-Petviashvili equation. Zbl 0787.35086
Bourgain, J.
99
1993
Description of translation invariant valuations on convex sets with solution of P. McMullen’s conjecture. Zbl 0995.52001
Alesker, S.
98
2001
Approximating \(L^ 2\)-invariants by their finite-dimensional analogues. Zbl 0853.57021
Lück, W.
86
1994
A Szemerédi-type regularity lemma in abelian groups, with applications. Zbl 1160.11314
Green, Ben
86
2005
Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on \(S^ n\). Zbl 0754.47041
Carlen, E.; Loss, M.
84
1992
On Selberg’s eigenvalue conjecture. Zbl 0844.11038
Luo, W.; Rudnick, Z.; Sarnak, P.
83
1995
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
83
2002
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Zbl 1061.35135
Merle, Frank; Raphaël, Pierre
79
2003
Construction of periodic solutions of nonlinear wave equations in higher dimension. Zbl 0834.35083
Bourgain, Jean
79
1995
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
79
2000
Szemerédi’s lemma for the analyst. Zbl 1123.46020
Lovász, László; Szegedy, Balász
76
2007
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.
75
1996
Group-invariant percolation on graphs. Zbl 0924.43002
Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O.
75
1999
Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality. Zbl 0962.30006
Laakso, T. J.
74
2000
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
73
2008
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
Gromov, Mikhail
72
2010
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
72
1998
A variational approach for compact homogeneous Einstein manifolds. Zbl 1068.53029
Böhm, C.; Wang, M.; Ziller, W.
71
2004
Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations. Zbl 0872.35007
Bourgain, Jean
71
1996
On triples in arithmetic progression. Zbl 0959.11004
Bourgain, Jean
70
1999
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
69
2002
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
68
1997
Diophantine geometry over groups. VI: The elementary theory of a free group. Zbl 1118.20035
Sela, Z.
68
2006
Continuous bounded cohomology and applications to rigidity theory. Zbl 1006.22010
Burger, M.; Monod, N.
66
2002
Relative volume comparison with integral curvature bounds. Zbl 0910.53029
Petersen, P.; Wei, G.
66
1997
Extremal Kähler metrics and complex deformation theory. Zbl 0801.53050
LeBrun, C.; Simanca, S. R.
66
1994
Asymptotic properties of linear groups. (Propriétés asymptotiques des groupes linéaires.) Zbl 0947.22003
Bénoist, Y.
65
1997
On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture. Zbl 1216.11057
Ichino, Atsushi; Ikeda, Tamotsu
63
2010
Local smoothing type estimates on \(L^p\) for large \(p\). Zbl 0972.42005
Wolff, T.
63
2000
Rank rigidity for CAT(0) cube complexes. Zbl 1266.20054
Caprace, Pierre-Emmanuel; Sageev, Michah
62
2011
A measure concentration inequality for contracting Markov chains. Zbl 0856.60072
Marton, K.
62
1996
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
62
2009
Instability of solitons for the critical generalized Korteweg-de Vries equation. Zbl 0985.35071
Martel, Y.; Merle, F.
61
2001
Heat kernel and Green function estimates on noncompact symmetric spaces. Zbl 0942.43005
Anker, J.-P.; Ji, L.
61
1999
A bilinear approach to cone multipliers. II: Applications. Zbl 0949.42013
Tao, Terence C.; Vargas, Ana M.
61
2000
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
61
2011
Property (T) and Kazhdan constants for discrete groups. Zbl 1036.22004
Żuk, Andrzej
60
2003
Growth and percolation on the uniform infinite planar triangulation. Zbl 1039.60085
Angel, Omer
60
2003
Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II. Zbl 0884.20025
Sela, Z.
60
1997
From the Mahler conjecture to Gauss linking integrals. Zbl 1169.52004
Kuperberg, Greg
60
2008
The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
59
2003
Dynamic of threshold solutions for energy-critical NLS. Zbl 1232.35150
Duyckaerts, Thomas; Merle, Frank
59
2009
The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044
Ghoussoub, N.; Robert, F.
58
2006
A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation. Zbl 0999.35069
Katz, N. H.; Pavlović, N.
57
2002
Floer homology and the heat flow. Zbl 1118.53056
Salamon, D. A.; Weber, J.
57
2006
Embedding Riemannian manifolds by their heat kernel. Zbl 0806.53044
Bérard, P.; Besson, G.; Gallot, S.
56
1994
Some deviation inequalities. Zbl 0756.60018
Maurey, B.
55
1991
Moments of two-variable functions and the uniqueness of graph limits. Zbl 1223.05193
Borgs, Christian; Chayes, Jennifer; Lovász, László
55
2010
Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027
Hofer, H.; Wysocki, K.; Zehnder, E.
55
1995
Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel. Zbl 1147.33004
Schapira, Bruno
55
2008
Cubulating small cancellation groups. Zbl 1071.20038
Wise, D. T.
54
2004
Lower bounds of tower type for Szemerédi’s uniformity lemma. Zbl 0876.05053
Gowers, W. T.
54
1997
A bilinear approach to cone multipliers. I: Restriction estimates. Zbl 0949.42012
Tao, Terence C.; Vargas, Ana M.
54
2000
A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies. Zbl 1277.37089
Avila, Artur; Fayad, Bassam; Krikorian, Raphaël
54
2011
Berger’s isoperimetric problem and minimal immersions of surfaces. Zbl 0868.58079
Nadirashvili, N.
53
1996
Exponential sums and nonlinear Schrödinger equations. Zbl 0787.35096
Bourgain, J.
53
1993
Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
53
2007
On the Erdős-Volkmann and Katz-Tao ring conjectures. Zbl 1115.11049
Bourgain, J.
52
2003
A functional analytic approach to intersection bodies. Zbl 0974.52002
Koldobsky, A.
51
2000
Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050
Ball, K.
51
1992
Lipschitz maps and nets in Euclidean space. Zbl 0941.37030
McMullen, C. T.
51
1998
The multiplicative structure on continuous polynomial valuations. Zbl 1072.52011
Alesker, S.
50
2004
On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes. Zbl 0897.22007
Ballmann, W.; Świątkowski, J.
50
1997
Riemannian tori without conjugate points are flat. Zbl 0808.53038
Burago, D.; Ivanov, S.
50
1994
An equivalence of fusion categories. Zbl 0860.17040
Finkelberg, M.
50
1996
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
48
2016
\(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings. Zbl 0928.53042
Seidel, P.
48
1997
Random matrices: The distribution of the smallest singular values. Zbl 1210.60014
Tao, Terence; Vu, Van
48
2010
Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
48
2012
Cohomology of compact hyperkähler manifolds and its applications. Zbl 0861.53069
Verbitsky, M.
47
1996
Differential Harnack estimates for time-dependent heat equations with potentials. Zbl 1183.53059
Cao, Xiaodong; Hamilton, Richard S.
47
2009
Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere. Zbl 1166.60006
Le Gall, Jean-François; Paulin, Frédéric
47
2008
Harmonic analysis of translation invariant valuations. Zbl 1228.53088
Alesker, Semyon; Bernig, Andreas; Schuster, Franz E.
46
2011
Conformally invariant systems of nonlinear PDE of Liouville type. Zbl 0858.35035
Chanillo, S.; Kiessling, M. K.-H.
46
1995
Random walks on graphs with regular volume growth. Zbl 0918.60053
Coulhon, T.; Grigoryan, A.
46
1998
Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below. Zbl 07511028
Liu, Gang; Székelyhidi, Gábor
2
2022
Random hyperbolic surfaces of large genus have first eigenvalues greater than \(\frac{3}{16}-\epsilon\). Zbl 1487.32072
Wu, Yunhui; Xue, Yuhao
2
2022
Ricci solitons, conical singularities, and nonuniqueness. Zbl 07536479
Angenent, Sigurd B.; Knopf, Dan
2
2022
A random cover of a compact hyperbolic surface has relative spectral gap \(\frac{3}{16}-\varepsilon\). Zbl 07536482
Magee, Michael; Naud, Frédéric; Puder, Doron
2
2022
Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues. Zbl 1484.35169
Liu, Wencai
1
2022
Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces. Zbl 07506900
Marković, Vladimir
1
2022
Ramanujan complexes and golden gates in \(PU(3)\). Zbl 1490.11059
Evra, Shai; Parzanchevski, Ori
1
2022
Lamplighters and the bounded cohomology of Thompson’s group. Zbl 07536483
Monod, Nicolas
1
2022
Analytic Langlands correspondence for \(PGL_2\) on \(\mathbb{P}^1\) with parabolic structures over local fields. Zbl 07575112
Etingof, Pavel; Frenkel, Edward; Kazhdan, David
1
2022
An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture. Zbl 07363293
Chen, Yuansi
6
2021
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems. Zbl 1480.35305
Girouard, Alexandre; Karpukhin, Mikhail; Lagacé, Jean
6
2021
A proof of Ringel’s conjecture. Zbl 1473.05249
Montgomery, R.; Pokrovskiy, A.; Sudakov, B.
5
2021
Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Zbl 1473.35165
Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Toro, Tatiana; Zhao, Zihui
5
2021
Entangleability of cones. Zbl 1475.15034
Aubrun, Guillaume; Lami, Ludovico; Palazuelos, Carlos; Plávala, Martin
3
2021
Short geodesic loops and \(L^p\) norms of eigenfunctions on large genus random surfaces. Zbl 1478.58010
Gilmore, Clifford; Le Masson, Etienne; Sahlsten, Tuomas; Thomas, Joe
2
2021
Ergodic theory of affine isometric actions on Hilbert spaces. Zbl 07509443
Arano, Yuki; Isono, Yusuke; Marrakchi, Amine
2
2021
The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces. Zbl 1468.19009
Gong, Sherry; Wu, Jianchao; Yu, Guoliang
2
2021
On the variance of squarefree integers in short intervals and arithmetic progressions. Zbl 1473.11180
Gorodetsky, Ofir; Matomäki, Kaisa; Radziwiłł, Maksym; Rodgers, Brad
1
2021
Singularity of discrete random matrices. Zbl 1491.15040
Jain, Vishesh; Sah, Ashwin; Sawhney, Mehtaab
1
2021
Point-like bounding chains in open Gromov-Witten theory. Zbl 07509447
Solomon, Jake P.; Tukachinsky, Sara B.
1
2021
A numerical criterion for generalised Monge-Ampère equations on projective manifolds. Zbl 07405887
Datar, Ved V.; Pingali, Vamsi Pritham
1
2021
Building manifolds from quantum codes. Zbl 1485.53115
Freedman, Michael; Hastings, Matthew
1
2021
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
13
2020
Symmetry results for critical anisotropic \(p\)-Laplacian equations in convex cones. Zbl 1453.35104
Ciraolo, Giulio; Figalli, Alessio; Roncoroni, Alberto
10
2020
Anderson localization for multi-frequency quasi-periodic operators on \(\mathbb{Z}^d\). Zbl 07219753
Jitomirskaya, Svetlana; Liu, Wencai; Shi, Yunfeng
7
2020
Uryson width and volume. Zbl 1453.53050
Papasoglu, Panos
7
2020
Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds. Zbl 1436.49054
Schulze, Felix
5
2020
A landing theorem for entire functions with bounded post-singular sets. Zbl 1461.37047
Benini, Anna Miriam; Rempe, Lasse
5
2020
Contact manifolds with flexible fillings. Zbl 1436.53055
Lazarev, Oleg
4
2020
Symplectic cohomology rings of affine varieties in the topological limit. Zbl 1451.53118
Ganatra, Sheel; Pomerleano, Daniel
4
2020
Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows. Zbl 1475.53047
Sturm, Karl-Theodor
4
2020
On the random wave conjecture for dihedral Maaß forms. Zbl 1462.11041
Humphries, Peter; Khan, Rizwanur
3
2020
Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines. Zbl 1436.30009
Viklund, Fredrik; Wang, Yilin
3
2020
Flows on the PGL(V)-Hitchin component. Zbl 07219757
Sun, Zhe; Wienhard, Anna; Zhang, Tengren
3
2020
Small cap decouplings. With an appendix by D. R. Heath-Brown. Zbl 1454.42008
Demeter, Ciprian; Guth, Larry; Wang, Hong
3
2020
Properties of high rank subvarieties of affine spaces. Zbl 1460.14138
Kazhdan, David; Ziegler, Tamar
3
2020
Arithmetic version of Anderson localization via reducibility. Zbl 1454.82017
Ge, Lingrui; You, Jiangong
3
2020
Very functorial, very fast, and very easy resolution of singularities. Zbl 1467.14039
McQuillan, Michael
3
2020
Non-simplicity of isocontact embeddings in all higher dimensions. Zbl 1436.53054
Casals, Roger; Etnyre, John B.
2
2020
Traceless AF embeddings and unsuspended \(E\)-theory. Zbl 1466.46050
Gabe, James
2
2020
Laplacian algebras, manifold submetries and the inverse invariant theory problem. Zbl 1446.53016
Mendes, Ricardo A. E.; Radeschi, Marco
2
2020
Entropy rigidity for 3D conservative Anosov flows and dispersing billiards. Zbl 1456.37032
De Simoi, Jacopo; Leguil, Martin; Vinhage, Kurt; Yang, Yun
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
The infinitesimal characters of discrete series for real spherical spaces. Zbl 1443.22018
Krötz, Bernhard; Kuit, Job J.; Opdam, Eric M.; Schlichtkrull, Henrik
2
2020
Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps. Zbl 1472.58021
Müller, Werner; Rochon, Frédéric
2
2020
Singular vectors on fractals and projections of self-similar measures. Zbl 1448.11127
Khalil, Osama
1
2020
Branching geodesics in sub-Riemannian geometry. Zbl 1459.53044
Mietton, Thomas; Rizzi, Luca
1
2020
Uniqueness of some Calabi-Yau metrics on \(\mathbf{C}^n\). Zbl 1468.14076
Székelyhidi, Gábor
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
Cohomological obstructions to lifting properties for full C*-algebras of property (T) groups. Zbl 1461.46049
Ioana, Adrian; Spaas, Pieter; Wiersma, Matthew
1
2020
Classical theta lifts for higher metaplectic covering groups. Zbl 1478.11066
Friedberg, Solomon; Ginzburg, David
1
2020
Geodesically complete spaces with an upper curvature bound. Zbl 1412.53058
Lytchak, Alexander; Nagano, Koichi
18
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
13
2019
A steady Euler flow with compact support. Zbl 1414.35157
Gavrilov, A. V.
12
2019
Long-time existence for multi-dimensional periodic water waves. Zbl 1420.35243
Ionescu, A. D.; Pusateri, F.
12
2019
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Zbl 1420.49046
Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip
11
2019
Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018
Cao, Yongluo; Pesin, Yakov; Zhao, Yun
11
2019
Finitary random interlacements and the Gaboriau-Lyons problem. Zbl 1418.37005
Bowen, Lewis
10
2019
Double variational principle for mean dimension. Zbl 1433.37025
Lindenstrauss, Elon; Tsukamoto, Masaki
10
2019
Application of signal analysis to the embedding problem of \({\mathbb{Z}}^k\)-actions. Zbl 1427.37013
Gutman, Yonatan; Qiao, Yixiao; Tsukamoto, Masaki
10
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
10
2019
An \(L^2\)-identity and pinned distance problem. Zbl 1416.28005
Liu, Bochen
9
2019
Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components. Zbl 1447.58013
Mondello, Gabriele; Panov, Dmitri
9
2019
The Weyl law for the phase transition spectrum and density of limit interfaces. Zbl 1416.53009
Gaspar, Pedro; Guaraco, Marco A. M.
8
2019
The base change in the Atiyah and the Lück approximation conjectures. Zbl 1453.20007
Jaikin-Zapirain, Andrei
8
2019
Anderson localization for two interacting quasiperiodic particles. Zbl 07040581
Bourgain, Jean; Kachkovskiy, Ilya
8
2019
Synthesizable differentiation-invariant subspaces. Zbl 1423.30038
Baranov, Anton; Belov, Yurii
8
2019
Percolation on hyperbolic graphs. Zbl 1474.60230
Hutchcroft, Tom
8
2019
Large genus asymptotics for Siegel-Veech constants. Zbl 1427.14053
Aggarwal, Amol
7
2019
Density of algebraic points on Noetherian varieties. Zbl 07040583
Binyamini, Gal
6
2019
Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree. Zbl 1452.32034
Brotbek, Damian; Deng, Ya
6
2019
Small gaps of GOE. Zbl 1434.60025
Feng, Renjie; Tian, Gang; Wei, Dongyi
6
2019
Riemannian curvature measures. Zbl 1432.53021
Fu, Joseph H. G.; Wannerer, Thomas
5
2019
The sparse circular law under minimal assumptions. Zbl 1442.15058
Rudelson, Mark; Tikhomirov, Konstantin
5
2019
Geodesic currents and counting problems. Zbl 1420.30012
Rafi, Kasra; Souto, Juan
5
2019
Polynomial bound for partition rank in terms of analytic rank. Zbl 1442.11027
Milićević, Luka
5
2019
Pointwise lower scalar curvature bounds for \(C^0\) metrics via regularizing Ricci flow. Zbl 1430.53042
Burkhardt-Guim, Paula
5
2019
On the Yang-Yau inequality for the first Laplace eigenvalue. Zbl 1429.58040
Karpukhin, Mikhail
5
2019
New bounds on the dimensions of planar distance sets. Zbl 1428.28005
Keleti, Tamás; Shmerkin, Pablo
5
2019
Characterizing spaces satisfying Poincaré inequalities and applications to differentiability. Zbl 1415.30033
Eriksson-Bique, Sylvester
4
2019
On the symplectic size of convex polytopes. Zbl 1425.53097
Haim-Kislev, Pazit
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
Bipolar comparison. Zbl 1481.53089
Lebedeva, Nina; Petrunin, Anton; Zolotov, Vladimir
3
2019
Badly approximable points on manifolds and unipotent orbits in homogeneous spaces. Zbl 1478.11096
Yang, Lei
3
2019
Affine actions with Hitchin linear part. Zbl 1427.57028
Danciger, Jeffrey; Zhang, Tengren
3
2019
Incidence estimates for well spaced tubes. Zbl 1460.52017
Guth, Larry; Solomon, Noam; Wang, Hong
3
2019
Gaps in scl for amalgamated free products and RAAGs. Zbl 1475.20064
Heuer, Nicolaus
2
2019
A gluing construction of collapsing Calabi-Yau metrics on \(K3\) fibred 3-folds. Zbl 1440.53054
Li, Yang
2
2019
Harmonic maps for Hitchin representations. Zbl 1490.53085
Li, Qiongling
1
2019
Functions of bounded fractional variation and fractal currents. Zbl 1454.49043
Züst, Roger
1
2019
A tight bound for hypergraph regularity. Zbl 1426.05120
Moshkovitz, Guy; Shapira, Asaf
1
2019
On connected preimages of simply-connected domains under entire functions. Zbl 1441.30040
Rempe-Gillen, Lasse; Sixsmith, Dave
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
Fluctuations of two dimensional Coulomb gases. Zbl 1423.60045
Leblé, Thomas; Serfaty, Sylvia
29
2018
Unique equilibrium states for geodesic flows in nonpositive curvature. Zbl 1401.37038
Burns, K.; Climenhaga, V.; Fisher, T.; Thompson, D. J.
28
2018
Low regularity conservation laws for integrable PDE. Zbl 1428.35452
Killip, Rowan; Vişan, Monica; Zhang, Xiaoyi
28
2018
Gaussian-width gradient complexity, reverse log-Sobolev inequalities and nonlinear large deviations. Zbl 1428.60045
Eldan, Ronen
21
2018
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
20
2018
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Cited by 12,770 Authors

101 Bourgain, Jean
71 Tao, Terence
49 Shparlinski, Igor E.
45 Naor, Assaf
40 Tzvetkov, Nikolay
37 Kapovich, Ilya
35 Gigli, Nicola
35 Oh, Tadahiro
35 Wise, Daniel T.
34 Himonas, A. Alexandrou
34 Kenig, Carlos Eduardo
34 Merle, Frank
34 Shkredov, Il’ya Dmitrievich
33 Lee, Sanghyuk
33 Shanmugalingam, Nageswari
32 Fox, Jacob
32 Lubotzky, Alexander
32 Wei, Juncheng
31 Ambrosio, Luigi
31 Raphael, Pierre
30 Martel, Yvan
29 Peres, Yuval
28 Schlag, Wilhelm
26 Guth, Lawrence David
26 Iosevich, Alex
25 Caprace, Pierre-Emmanuel
25 Hug, Daniel
25 Koldobsky, Alexander L.
25 Mendelson, Shahar
25 Mj, Mahan
25 Paouris, Grigoris
25 Verbitsky, Misha
24 Geng, Jiansheng
23 Bernig, Andreas
23 Björn, Jana
23 Chang, Mei-Chu
23 Damanik, David
23 Figalli, Alessio
23 Klartag, Bo’az
23 Lytchak, Alexander
23 Sisto, Alessandro
23 Smith, Ivan
23 Yan, Wei
23 Zhang, Bingyu
22 Bobkov, Sergey Germanovich
22 Cheltsov, Ivan Anatol’evich
22 Myasnikov, Alexei G.
22 Sukochev, Fedor Anatol’evich
21 Bridson, Martin R.
21 Dahmani, François
21 Guo, Zihua
21 Junge, Marius
21 Kapovich, Michael
21 Koh, Doowon
21 Lee, James R.
21 Leininger, Christopher J.
21 Malchiodi, Andrea
21 Monod, Nicolas
21 Ponge, Raphaël S.
21 Shmerkin, Pablo S.
21 Tomczak-Jaegermann, Nicole
21 Vu, Van H.
21 Zhao, Yufei
20 Curien, Nicolas
20 Katz, Mikhail G.
20 Nešetřil, Jaroslav
20 Staffilani, Gigliola
19 Alesker, Semyon
19 Björn, Anders
19 Blomer, Valentin
19 Cheeger, Jeff
19 de Lima, Henrique F.
19 Frauenfelder, Urs Adrian
19 Green, Ben Joseph
19 Kappeler, Thomas
19 Kleiner, Bruce
19 Kuksin, Sergeĭ B.
19 Mejjaoli, Hatem
19 Misiołek, Gerard
19 Osin, Denis V.
19 Rafi, Kasra
19 Uhlmann, Gunther Alberto
19 Yu, Guoliang
18 Alon, Noga M.
18 Benjamini, Itai
18 Gelander, Tsachik
18 Kim, Inkang
18 Koberda, Thomas
18 Král’, Daniel
18 Lin, Chang-Shou
18 Miao, Changxing
18 Parlier, Hugo
18 Pham Van Thang
18 Sanders, Tom
18 Solomyak, Boris
18 Sudakov, Benny
18 Szegedy, Balázs
18 Tessera, Romain
18 Tian, Gang
18 Vinh, Le Anh
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Cited in 669 Journals

634 Advances in Mathematics
591 Journal of Functional Analysis
563 Transactions of the American Mathematical Society
418 Proceedings of the American Mathematical Society
367 Communications in Mathematical Physics
366 Mathematische Annalen
350 Geometric and Functional Analysis. GAFA
324 Israel Journal of Mathematics
321 The Journal of Geometric Analysis
314 Duke Mathematical Journal
285 Geometriae Dedicata
284 Mathematische Zeitschrift
272 Journal of Mathematical Analysis and Applications
258 Inventiones Mathematicae
245 Geometry & Topology
243 Journal of Differential Equations
229 Calculus of Variations and Partial Differential Equations
200 Annales de l’Institut Fourier
171 Ergodic Theory and Dynamical Systems
160 Comptes Rendus. Mathématique. Académie des Sciences, Paris
159 Journal für die Reine und Angewandte Mathematik
158 Journal of the European Mathematical Society (JEMS)
150 Journal of the American Mathematical Society
147 Annals of Mathematics. Second Series
146 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
145 Algebraic & Geometric Topology
141 Journal of Geometry and Physics
141 Journal of Topology and Analysis
140 The Annals of Probability
133 Journal of Mathematical Physics
132 Journal d’Analyse Mathématique
131 Discrete and Continuous Dynamical Systems
130 Annals of Global Analysis and Geometry
130 Communications in Partial Differential Equations
120 Groups, Geometry, and Dynamics
115 Compositio Mathematica
113 Revista Matemática Iberoamericana
112 Differential Geometry and its Applications
111 Journal de Mathématiques Pures et Appliquées. Neuvième Série
110 International Journal of Mathematics
107 Journal of Number Theory
103 Mathematical Proceedings of the Cambridge Philosophical Society
103 Probability Theory and Related Fields
100 Archive for Rational Mechanics and Analysis
100 Journal of Algebra
92 Selecta Mathematica. New Series
90 Discrete & Computational Geometry
89 Topology and its Applications
89 Communications in Contemporary Mathematics
87 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
78 Memoirs of the American Mathematical Society
78 European Journal of Combinatorics
74 Bulletin of the American Mathematical Society. New Series
70 Manuscripta Mathematica
69 SIAM Journal on Mathematical Analysis
69 Acta Mathematica Sinica. English Series
68 Journal of Statistical Physics
68 Science China. Mathematics
67 Mathematika
63 International Journal of Algebra and Computation
63 The Journal of Fourier Analysis and Applications
60 Annales Henri Poincaré
59 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
58 Acta Mathematica
58 Potential Analysis
57 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
55 Forum Mathematicum
54 Communications on Pure and Applied Mathematics
54 Nonlinearity
53 Journal of Modern Dynamics
52 Combinatorica
50 Letters in Mathematical Physics
49 Forum of Mathematics, Sigma
48 Journal of Fixed Point Theory and Applications
46 Combinatorics, Probability and Computing
46 Communications on Pure and Applied Analysis
46 Journal of Noncommutative Geometry
45 Commentarii Mathematici Helvetici
45 Illinois Journal of Mathematics
44 Archiv der Mathematik
44 Journal of Dynamics and Differential Equations
44 Journal of Mathematical Sciences (New York)
43 St. Petersburg Mathematical Journal
42 Physica D
41 Journal of Combinatorial Theory. Series A
41 Journal of the Mathematical Society of Japan
41 Journal of the Institute of Mathematics of Jussieu
41 International Journal of Number Theory
41 Analysis and Geometry in Metric Spaces
40 Annali di Matematica Pura ed Applicata. Serie Quarta
40 Publications Mathématiques
40 Monatshefte für Mathematik
40 Journal of Topology
38 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
38 Stochastic Processes and their Applications
37 Michigan Mathematical Journal
36 Journal of High Energy Physics
35 Discrete Mathematics
35 Chinese Annals of Mathematics. Series B
35 Random Structures & Algorithms
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Cited in 63 Fields

3,791 Differential geometry (53-XX)
3,576 Partial differential equations (35-XX)
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1,865 Group theory and generalizations (20-XX)
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920 Algebraic geometry (14-XX)
878 Convex and discrete geometry (52-XX)
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676 Operator theory (47-XX)
637 Measure and integration (28-XX)
608 Quantum theory (81-XX)
557 Calculus of variations and optimal control; optimization (49-XX)
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114 Special functions (33-XX)
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85 Operations research, mathematical programming (90-XX)
82 Difference and functional equations (39-XX)
67 Approximations and expansions (41-XX)
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54 Order, lattices, ordered algebraic structures (06-XX)
43 Commutative algebra (13-XX)
42 Optics, electromagnetic theory (78-XX)
40 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
38 Field theory and polynomials (12-XX)
34 General and overarching topics; collections (00-XX)
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