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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: https://link.springer.com/journal/39/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,356 Publications (since 1991)
References Indexed: 811 Publications with 24,969 References.
all top 5

Latest Issues

34, No. 2 (2024)
34, No. 1 (2024)
33, No. 6 (2023)
33, No. 5 (2023)
33, No. 4 (2023)
33, No. 3 (2023)
33, No. 2 (2023)
33, No. 1 (2023)
32, No. 6 (2022)
32, No. 5 (2022)
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)
31, No. 2 (2021)
31, No. 1 (2021)
30, No. 6 (2020)
30, No. 5 (2020)
30, No. 4 (2020)
30, No. 3 (2020)
30, No. 2 (2020)
30, No. 1 (2020)
29, No. 6 (2019)
29, No. 5 (2019)
29, No. 4 (2019)
29, No. 3 (2019)
29, No. 2 (2019)
29, No. 1 (2019)
28, No. 6 (2018)
28, No. 5 (2018)
28, No. 4 (2018)
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28, No. 2 (2018)
28, No. 1 (2018)
27, No. 6 (2017)
27, No. 5 (2017)
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26, No. 6 (2016)
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25, No. 6 (2015)
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25, No. 1 (2015)
24, No. 6 (2014)
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24, No. 4 (2014)
24, No. 3 (2014)
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24, No. 1 (2014)
23, No. 6 (2013)
23, No. 5 (2013)
23, No. 4 (2013)
23, No. 3 (2013)
23, No. 2 (2013)
23, No. 1 (2013)
22, No. 6 (2012)
22, No. 5 (2012)
22, No. 4 (2012)
22, No. 3 (2012)
22, No. 2 (2012)
22, No. 1 (2012)
21, No. 6 (2011)
21, No. 5 (2011)
21, No. 4 (2011)
21, No. 3 (2011)
21, No. 2 (2011)
21, No. 1 (2011)
20, No. 6 (2010)
20, No. 5 (2010)
20, No. 4 (2010)
20, No. 3 (2010)
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20, No. 1 (2010)
19, No. 6 (2010)
19, No. 5 (2010)
19, No. 4 (2009)
19, No. 3 (2009)
19, No. 2 (2009)
19, No. 1 (2009)
18, No. 6 (2009)
18, No. 5 (2009)
18, No. 4 (2008)
18, No. 3 (2008)
18, No. 2 (2008)
18, No. 1 (2008)
17, No. 6 (2008)
17, No. 5 (2008)
...and 94 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
8 Lee, James R.
8 Nadirashvili, Nikolai S.
8 Peres, Yuval
7 Alon, Noga
7 Ivanov, Sergei Vladimirovich
7 Kuksin, Sergeĭ B.
7 Merle, Frank
6 Alesker, Semyon
6 Gowers, William Timothy
6 Kapovich, Michael
6 Masur, Howard A.
6 Müller, Werner
6 Oh, Hee
6 Petrunin, Anton Mikhailovich
6 Rong, Xiaochun
6 Rotman, Regina
6 Souto, Juan
6 Talagrand, Michel
6 Verbitsky, Misha
6 Zelditch, Steve
5 Anderson, Michael T.
5 Avila, Artur
5 Bogomolov, Fedor Alekseivich
5 Eliashberg, Yakov Matveevich
5 Etingof, Pavel Il’ich
5 Green, Ben Joseph
5 Ioana, Adrian
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 Rudnick, Zeév
5 Sarnak, Peter Clive
5 Sela, Zlil
5 Shubin, Mikhail Aleksandrovich
5 Tian, Gang
5 Tomczak-Jaegermann, Nicole
5 Wise, Daniel T.
4 Biran, Paul
4 Blomer, Valentin
4 Breuillard, Emmanuel
4 Brock, Jeffrey F.
4 Burger, Marc
4 Chang, Mei-Chu
4 Fujiwara, Koji
4 Gelander, Tsachik
4 Gersten, Stephen M.
4 Hofer, Helmut H. W.
4 Hofmann, Steve
4 Junge, Marius
4 Klartag, Bo’az
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 Saloff-Coste, Laurent
4 Seidel, Paul
4 Shmerkin, Pablo S.
4 Smith, Ivan
4 Solomon, Jake P.
4 Sudakov, Benny
4 Tolsa, Xavier
4 Tschinkel, Yuri
4 Virág, Bálint
3 Adams, Scot
3 Avni, Nir
3 Avramidi, Grigori
3 Azzam, Jonas
3 Baba, Shinpei
3 Balacheff, Florent
3 Benjamini, Itai
3 Bernig, Andreas
3 Bestvina, Mladen
3 Bialy, Misha
3 Bismut, Jean-Michel
...and 1,472 more Authors
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Fields

411 Differential geometry (53-XX)
198 Global analysis, analysis on manifolds (58-XX)
190 Dynamical systems and ergodic theory (37-XX)
186 Manifolds and cell complexes (57-XX)
157 Number theory (11-XX)
148 Group theory and generalizations (20-XX)
131 Partial differential equations (35-XX)
128 Several complex variables and analytic spaces (32-XX)
120 Functional analysis (46-XX)
119 Topological groups, Lie groups (22-XX)
113 Functions of a complex variable (30-XX)
104 Probability theory and stochastic processes (60-XX)
100 Algebraic geometry (14-XX)
85 Combinatorics (05-XX)
77 Convex and discrete geometry (52-XX)
57 Measure and integration (28-XX)
49 Harmonic analysis on Euclidean spaces (42-XX)
44 Operator theory (47-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
37 Abstract harmonic analysis (43-XX)
35 Quantum theory (81-XX)
22 Potential theory (31-XX)
22 General topology (54-XX)
20 Algebraic topology (55-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Real functions (26-XX)
18 Statistical mechanics, structure of matter (82-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)
8 Associative rings and algebras (16-XX)
6 Ordinary differential equations (34-XX)
6 Computer science (68-XX)
6 Mechanics of particles and systems (70-XX)
5 Integral transforms, operational calculus (44-XX)
5 Numerical analysis (65-XX)
4 Order, lattices, ordered algebraic structures (06-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 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

1,282 Publications have been cited 28,987 times in 21,019 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.
561
1993
Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018
Cheeger, J.
511
1999
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation. Zbl 0787.35098
Bourgain, J.
459
1993
A new proof of Szemerédi’s theorem. Zbl 1028.11005
Gowers, W. T.
274
2001
Geometry of the complex of curves. II: Hierarchical structure. Zbl 0972.32011
Masur, H. A.; Minsky, Y. N.
269
2000
The local index formula in noncommutative geometry. Zbl 0960.46048
Connes, A.; Moscovici, H.
213
1995
A sum-product estimate in finite fields, and applications. Zbl 1145.11306
Bourgain, Jean; Katz, N.; Tao, Terence C.
196
2004
Random walk in random groups. Zbl 1122.20021
Gromov, M.
188
2003
Polar factorization of maps on Riemannian manifolds. Zbl 1011.58009
McCann, Robert J.
185
2001
Special cube complexes. Zbl 1155.53025
Haglund, Frédéric; Wise, Daniel T.
185
2008
Relatively hyperbolic groups. Zbl 0985.20027
Farb, B.
182
1998
Transportation cost for Gaussian and other product measures. Zbl 0859.46030
Talagrand, M.
177
1996
Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014
Kechris, A. S.; Pestov, V. G.; Todorcevic, S.
177
2005
Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078
Constantin, Peter; Vicol, Vlad
177
2012
Functors and computations in Floer homology with applications. I. Zbl 0954.57015
Viterbo, C.
174
1999
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
153
2003
A sharp bilinear restriction estimate for paraboloids. Zbl 1068.42011
Tao, Terence C.
152
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.
150
1995
Embeddings of Gromov hyperbolic spaces. Zbl 0972.53021
Bonk, M.; Schramm, O.
149
2000
Bounds on oscillatory integral operators based on multilinear estimates. Zbl 1237.42010
Bourgain, Jean; Guth, Larry
149
2011
Concentration of mass on convex bodies. Zbl 1114.52004
Paouris, G.
128
2006
A new proof of Szemerédi’s theorem for arithmetic progressions of length four. Zbl 0907.11005
Gowers, W. T.
122
1998
Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043
Higson, N.; Lafforgue, V.; Skandalis, G.
118
2002
On convex perturbations with a bounded isotropic constant. Zbl 1113.52014
Klartag, B.
118
2006
Besicovitch type maximal operators and applications to Fourier analysis. Zbl 0756.42014
Bourgain, J.
112
1991
On the Cauchy problem for the Kadomtsev-Petviashvili equation. Zbl 0787.35086
Bourgain, J.
110
1993
Description of translation invariant valuations on convex sets with solution of P. McMullen’s conjecture. Zbl 0995.52001
Alesker, S.
109
2001
A Szemerédi-type regularity lemma in abelian groups, with applications. Zbl 1160.11314
Green, Ben
102
2005
Approximating \(L^ 2\)-invariants by their finite-dimensional analogues. Zbl 0853.57021
Lück, W.
100
1994
Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
Misiołek, G.
94
2002
On Selberg’s eigenvalue conjecture. Zbl 0844.11038
Luo, W.; Rudnick, Z.; Sarnak, P.
94
1995
Rank rigidity for CAT(0) cube complexes. Zbl 1266.20054
Caprace, Pierre-Emmanuel; Sageev, Michah
93
2011
Asymptotic properties of linear groups. (Propriétés asymptotiques des groupes linéaires.) Zbl 0947.22003
Bénoist, Y.
93
1997
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Zbl 1061.35135
Merle, Frank; Raphaël, Pierre
93
2003
Construction of periodic solutions of nonlinear wave equations in higher dimension. Zbl 0834.35083
Bourgain, Jean
92
1995
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
92
2008
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
91
2000
Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on \(S^ n\). Zbl 0754.47041
Carlen, E.; Loss, M.
91
1992
Szemerédi’s lemma for the analyst. Zbl 1123.46020
Lovász, László; Szegedy, Balázs
91
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.
88
1996
Local smoothing type estimates on \(L^p\) for large \(p\). Zbl 0972.42005
Wolff, T.
87
2000
Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality. Zbl 0962.30006
Laakso, T. J.
86
2000
A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies. Zbl 1277.37089
Avila, Artur; Fayad, Bassam; Krikorian, Raphaël
86
2011
Continuous bounded cohomology and applications to rigidity theory. Zbl 1006.22010
Burger, M.; Monod, N.
84
2002
Relative volume comparison with integral curvature bounds. Zbl 0910.53029
Petersen, P.; Wei, G.
84
1997
Group-invariant percolation on graphs. Zbl 0924.43002
Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O.
83
1999
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
83
2011
Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations. Zbl 0872.35007
Bourgain, Jean
82
1996
A variational approach for compact homogeneous Einstein manifolds. Zbl 1068.53029
Böhm, C.; Wang, M.; Ziller, W.
82
2004
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
Gromov, Mikhail
82
2010
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
80
2002
Diophantine geometry over groups. VI: The elementary theory of a free group. Zbl 1118.20035
Sela, Z.
80
2006
Extremal Kähler metrics and complex deformation theory. Zbl 0801.53050
LeBrun, C.; Simanca, S. R.
79
1994
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
79
1997
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
78
1998
On triples in arithmetic progression. Zbl 0959.11004
Bourgain, Jean
77
1999
A bilinear approach to cone multipliers. II: Applications. Zbl 0949.42013
Tao, Terence C.; Vargas, Ana M.
77
2000
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
77
2016
Heat kernel and Green function estimates on noncompact symmetric spaces. Zbl 0942.43005
Anker, J.-P.; Ji, L.
73
1999
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
73
2009
Growth and percolation on the uniform infinite planar triangulation. Zbl 1039.60085
Angel, Omer
73
2003
A measure concentration inequality for contracting Markov chains. Zbl 0856.60072
Marton, K.
72
1996
Cubulating small cancellation groups. Zbl 1071.20038
Wise, D. T.
72
2004
Property (T) and Kazhdan constants for discrete groups. Zbl 1036.22004
Żuk, Andrzej
72
2003
Floer homology and the heat flow. Zbl 1118.53056
Salamon, D. A.; Weber, J.
72
2006
Instability of solitons for the critical generalized Korteweg-de Vries equation. Zbl 0985.35071
Martel, Y.; Merle, F.
71
2001
Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II. Zbl 0884.20025
Sela, Z.
71
1997
On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture. Zbl 1216.11057
Ichino, Atsushi; Ikeda, Tamotsu
71
2010
Dynamic of threshold solutions for energy-critical NLS. Zbl 1232.35150
Duyckaerts, Thomas; Merle, Frank
70
2009
Embedding Riemannian manifolds by their heat kernel. Zbl 0806.53044
Bérard, P.; Besson, G.; Gallot, S.
69
1994
On the Erdős-Volkmann and Katz-Tao ring conjectures. Zbl 1115.11049
Bourgain, J.
69
2003
From the Mahler conjecture to Gauss linking integrals. Zbl 1169.52004
Kuperberg, Greg
69
2008
A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation. Zbl 0999.35069
Katz, N. H.; Pavlović, N.
68
2002
The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044
Ghoussoub, N.; Robert, F.
68
2006
Cohomology of compact hyperkähler manifolds and its applications. Zbl 0861.53069
Verbitsky, M.
67
1996
The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
67
2003
Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel. Zbl 1147.33004
Schapira, Bruno
65
2008
Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027
Hofer, H.; Wysocki, K.; Zehnder, E.
64
1995
Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
63
2012
A bilinear approach to cone multipliers. I: Restriction estimates. Zbl 0949.42012
Tao, Terence C.; Vargas, Ana M.
62
2000
Differential Harnack estimates for time-dependent heat equations with potentials. Zbl 1183.53059
Cao, Xiaodong; Hamilton, Richard S.
61
2009
Moments of two-variable functions and the uniqueness of graph limits. Zbl 1223.05193
Borgs, Christian; Chayes, Jennifer; Lovász, László
61
2010
Berger’s isoperimetric problem and minimal immersions of surfaces. Zbl 0868.58079
Nadirashvili, N.
59
1996
On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes. Zbl 0897.22007
Ballmann, W.; Świątkowski, J.
59
1997
Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
59
2007
The pressure metric for Anosov representations. Zbl 1360.37078
Bridgeman, Martin; Canary, Richard; Labourie, François; Sambarino, Andres
58
2015
Exponential sums and nonlinear Schrödinger equations. Zbl 0787.35096
Bourgain, J.
58
1993
Lower bounds of tower type for Szemerédi’s uniformity lemma. Zbl 0876.05053
Gowers, W. T.
58
1997
Some deviation inequalities. Zbl 0756.60018
Maurey, B.
57
1991
Riemannian tori without conjugate points are flat. Zbl 0808.53038
Burago, D.; Ivanov, S.
56
1994
\(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings. Zbl 0928.53042
Seidel, P.
56
1997
Lipschitz maps and nets in Euclidean space. Zbl 0941.37030
McMullen, C. T.
56
1998
Random matrices: The distribution of the smallest singular values. Zbl 1210.60014
Tao, Terence; Vu, Van
56
2010
An equivalence of fusion categories. Zbl 0860.17040
Finkelberg, M.
55
1996
The multiplicative structure on continuous polynomial valuations. Zbl 1072.52011
Alesker, S.
55
2004
Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050
Ball, K.
54
1992
A functional analytic approach to intersection bodies. Zbl 0974.52002
Koldobsky, A.
53
2000
Kähler-Einstein metrics along the smooth continuity method. Zbl 1359.32019
Datar, Ved; Székelyhidi, Gábor
52
2016
Random walks on graphs with regular volume growth. Zbl 0918.60053
Coulhon, T.; Grigoryan, A.
52
1998
Conformally invariant systems of nonlinear PDE of Liouville type. Zbl 0858.35035
Chanillo, S.; Kiessling, M. K.-H.
52
1995
On the random Chowla conjecture. Zbl 07694917
Klurman, Oleksiy; Shkredov, Ilya D.; Xu, Max Wenqiang
4
2023
A transfer principle: from periods to isoperiodic foliations. Zbl 1511.14047
Calsamiglia, Gabriel; Deroin, Bertrand; Francaviglia, Stefano
3
2023
A nonabelian Brunn-Minkowski inequality. Zbl 1518.22003
Jing, Yifan; Tran, Chieu-Minh; Zhang, Ruixiang
3
2023
Threshold for Steiner triple systems. Zbl 1518.05021
Sah, Ashwin; Sawhney, Mehtaab; Simkin, Michael
3
2023
GOE statistics on the moduli space of surfaces of large genus. Zbl 07780334
Rudnick, Zeév
2
2023
The spectrum of Schrödinger operators with randomly perturbed ergodic potentials. Zbl 07680038
Avila, Artur; Damanik, David; Gorodetski, Anton
2
2023
The metric measure boundary of spaces with Ricci curvature bounded below. Zbl 07694914
Bruè, Elia; Mondino, Andrea; Semola, Daniele
1
2023
Quantitative weak mixing for interval exchange transformations. Zbl 1514.37012
Avila, Artur; Forni, Giovanni; Safaee, Pedram
1
2023
Measure rigidity of Anosov flows via the factorization method. Zbl 1517.37042
Katz, Asaf
1
2023
On the Alesker-Verbitsky conjecture on hyperKähler manifolds. Zbl 1522.35529
Dinew, Sławomir; Sroka, Marcin
1
2023
Local connectivity of the Mandelbrot set at some satellite parameters of bounded type. Zbl 1526.37062
Dudko, Dzmitry; Lyubich, Mikhail
1
2023
An exotic \(\mathrm{II}_1\) factor without property Gamma. Zbl 07746808
Chifan, Ionuţ; Ioana, Adrian; Kunnawalkam Elayavalli, Srivatsav
1
2023
Random hyperbolic surfaces of large genus have first eigenvalues greater than \(\frac{3}{16}-\epsilon\). Zbl 1487.32072
Wu, Yunhui; Xue, Yuhao
13
2022
Bourgain’s slicing problem and KLS isoperimetry up to polylog. Zbl 1509.52002
Klartag, Bo’az; Lehec, Joseph
13
2022
Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues. Zbl 1484.35169
Liu, Wencai
12
2022
A random cover of a compact hyperbolic surface has relative spectral gap \(\frac{3}{16}-\varepsilon\). Zbl 1498.58022
Magee, Michael; Naud, Frédéric; Puder, Doron
11
2022
Functionals with extrema at reproducing kernels. Zbl 1502.30151
Kulikov, Aleksei
8
2022
Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below. Zbl 1493.53097
Liu, Gang; Székelyhidi, Gábor
7
2022
A comparison of the Almgren-Pitts and the Allen-Cahn min-max theory. Zbl 1515.53009
Dey, Akashdeep
6
2022
Lamplighters and the bounded cohomology of Thompson’s group. Zbl 07536483
Monod, Nicolas
6
2022
Examples of Ricci limit spaces with non-integer Hausdorff dimension. Zbl 1496.53104
Pan, Jiayin; Wei, Guofang
6
2022
Symplectic cohomology and a conjecture of Viterbo. Zbl 1509.53089
Shelukhin, Egor
5
2022
Dimers, networks, and cluster integrable systems. Zbl 1493.37074
Izosimov, Anton
5
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Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces. Zbl 1492.53081
Marković, Vladimir
5
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The many faces of the stochastic zeta function. Zbl 1509.11089
Valkó, Benedek; Virág, Bálint
5
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Analytic Langlands correspondence for \(PGL_2\) on \(\mathbb{P}^1\) with parabolic structures over local fields. Zbl 1495.14021
Etingof, Pavel; Frenkel, Edward; Kazhdan, David
4
2022
Joints of varieties. Zbl 1487.52029
Tidor, Jonathan; Yu, Hans Hung-Hsun; Zhao, Yufei
4
2022
Ricci solitons, conical singularities, and nonuniqueness. Zbl 1503.53091
Angenent, Sigurd B.; Knopf, Dan
4
2022
Random walks with bounded first moment on finite-volume spaces. Zbl 1503.37009
Bénard, Timothée; De Saxcé, Nicolas
3
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Ramanujan complexes and golden gates in \(PU(3)\). Zbl 1490.11059
Evra, Shai; Parzanchevski, Ori
2
2022
Steenrod pseudocycles, lifted cobordisms, and Solomon’s relations for Welschinger invariants. Zbl 1502.53127
Chen, Xujia
2
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Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations. Zbl 1509.14088
Tien Cuong Dinh; Lin, Hsueh-Yung; Oguiso, Keiji; Zhang, De-Qi
2
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Diameter estimates for long-time solutions of the Kähler-Ricci flow. Zbl 1512.53097
Jian, Wangjian; Song, Jian
1
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On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps. Zbl 1521.37045
Lodge, Russell; Luo, Yusheng; Mukherjee, Sabyasachi
1
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Sparse expanders have negative curvature. Zbl 1518.05106
Salez, Justin
1
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Meromorphic \(L^2\) functions on flat surfaces. Zbl 1501.30016
Frankel, Ian
1
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The exact value of Hausdorff dimension of escaping sets of class \(\mathcal{B}\) meromorphic functions. Zbl 1500.37035
Mayer, Volker; Urbański, Mariusz
1
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The Patterson-Sullivan reconstruction of pluriharmonic functions for determinantal point processes on complex hyperbolic spaces. Zbl 1505.60052
Bufetov, Alexander I.; Qiu, Yanqi
1
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Symplectic mapping class groups of K3 surfaces and Seiberg-Witten invariants. Zbl 1505.57028
Smirnov, Gleb
1
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An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture. Zbl 1495.52003
Chen, Yuansi
28
2021
A proof of Ringel’s conjecture. Zbl 1473.05249
Montgomery, R.; Pokrovskiy, A.; Sudakov, B.
15
2021
Entangleability of cones. Zbl 1475.15034
Aubrun, Guillaume; Lami, Ludovico; Palazuelos, Carlos; Plávala, Martin
14
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Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Zbl 1473.35165
Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Toro, Tatiana; Zhao, Zihui
13
2021
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems. Zbl 1480.35305
Girouard, Alexandre; Karpukhin, Mikhail; Lagacé, Jean
10
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
8
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Ergodic theory of affine isometric actions on Hilbert spaces. Zbl 1505.37012
Arano, Yuki; Isono, Yusuke; Marrakchi, Amine
8
2021
The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions. Zbl 1486.35011
Logunov, A.; Malinnikova, E.; Nadirashvili, N.; Nazarov, F.
8
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A numerical criterion for generalised Monge-Ampère equations on projective manifolds. Zbl 1505.32040
Datar, Ved V.; Pingali, Vamsi Pritham
7
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Generic scarring for minimal hypersurfaces along stable hypersurfaces. Zbl 1479.53072
Song, Antoine; Zhou, Xin
6
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On the variance of squarefree integers in short intervals and arithmetic progressions. Zbl 1473.11180
Gorodetsky, Ofir; Matomäki, Kaisa; Radziwiłł, Maksym; Rodgers, Brad
6
2021
Singularity of discrete random matrices. Zbl 1491.15040
Jain, Vishesh; Sah, Ashwin; Sawhney, Mehtaab
6
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The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces. Zbl 1468.19009
Gong, Sherry; Wu, Jianchao; Yu, Guoliang
6
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Non-displaceable Lagrangian links in four-manifolds. Zbl 1479.57068
Mak, Cheuk Yu; Smith, Ivan
5
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A pair correlation problem, and counting lattice points with the zeta function. Zbl 07405882
Aistleitner, Christoph; El-Baz, Daniel; Munsch, Marc
3
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Point-like bounding chains in open Gromov-Witten theory. Zbl 1494.53098
Solomon, Jake P.; Tukachinsky, Sara B.
3
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Building manifolds from quantum codes. Zbl 1485.53115
Freedman, Michael; Hastings, Matthew
2
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Idempotent Fourier multipliers acting contractively on \(H^p\) spaces. Zbl 1493.42036
Brevig, Ole Fredrik; Ortega-Cerdà, Joaquim; Seip, Kristian
2
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Monodromy groups of Kloosterman and hypergeometric sheaves. Zbl 1485.11166
Katz, Nicholas M.; Tiep, Pham Huu
1
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Sweepouts of closed Riemannian manifolds. Zbl 1486.53054
Nabutovsky, Alexander; Rotman, Regina; Sabourau, Stéphane
1
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Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves. Zbl 1471.32043
Orevkov, S. Yu.
1
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\(\mathbf{Bad(w)}\) is hyperplane absolute winning. Zbl 1473.11145
Beresnevich, Victor; Nesharim, Erez; Yang, Lei
1
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Simultaneous small fractional parts of polynomials. Zbl 1479.11122
Maynard, James
1
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Volume and macroscopic scalar curvature. Zbl 1494.53043
Braun, Sabine; Sauer, Roman
1
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Non-asymptotic results for singular values of Gaussian matrix products. Zbl 1471.15032
Hanin, Boris; Paouris, Grigoris
1
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Flows on measurable spaces. Zbl 1469.05068
Lovász, László
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Symmetry results for critical anisotropic \(p\)-Laplacian equations in convex cones. Zbl 1453.35104
Ciraolo, Giulio; Figalli, Alessio; Roncoroni, Alberto
24
2020
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
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Anderson localization for multi-frequency quasi-periodic operators on \(\mathbb{Z}^d\). Zbl 07219753
Jitomirskaya, Svetlana; Liu, Wencai; Shi, Yunfeng
19
2020
Edge rigidity and universality of random regular graphs of intermediate degree. Zbl 1453.05117
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer
15
2020
Small cap decouplings. With an appendix by D. R. Heath-Brown. Zbl 1454.42008
Demeter, Ciprian; Guth, Larry; Wang, Hong
14
2020
Contact manifolds with flexible fillings. Zbl 1436.53055
Lazarev, Oleg
12
2020
Flows on the \(\mathrm{PGL}(V)\)-Hitchin component. Zbl 1528.32020
Sun, Zhe; Wienhard, Anna; Zhang, Tengren
12
2020
A long neck principle for Riemannian spin manifolds with positive scalar curvature. Zbl 1455.58008
Cecchini, Simone
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2020
Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines. Zbl 1436.30009
Viklund, Fredrik; Wang, Yilin
11
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A landing theorem for entire functions with bounded post-singular sets. Zbl 1461.37047
Benini, Anna Miriam; Rempe, Lasse
11
2020
Uryson width and volume. Zbl 1453.53050
Papasoglu, Panos
10
2020
Arithmetic version of Anderson localization via reducibility. Zbl 1454.82017
Ge, Lingrui; You, Jiangong
10
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
10
2020
On the random wave conjecture for dihedral Maaß forms. Zbl 1462.11041
Humphries, Peter; Khan, Rizwanur
8
2020
Symplectic cohomology rings of affine varieties in the topological limit. Zbl 1451.53118
Ganatra, Sheel; Pomerleano, Daniel
7
2020
Laplacian algebras, manifold submetries and the inverse invariant theory problem. Zbl 1446.53016
Mendes, Ricardo A. E.; Radeschi, Marco
7
2020
Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds. Zbl 1436.49054
Schulze, Felix
6
2020
Traceless AF embeddings and unsuspended \(E\)-theory. Zbl 1466.46050
Gabe, James
6
2020
Very functorial, very fast, and very easy resolution of singularities. Zbl 1467.14039
McQuillan, Michael
6
2020
Uniqueness of some Calabi-Yau metrics on \(\mathbf{C}^n\). Zbl 1468.14076
Székelyhidi, Gábor
6
2020
Regularity of area minimizing currents mod \(p\). Zbl 1456.49032
De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore
6
2020
Non-simplicity of isocontact embeddings in all higher dimensions. Zbl 1436.53054
Casals, Roger; Etnyre, John B.
5
2020
Partial associativity and rough approximate groups. Zbl 1491.20186
Gowers, W. T.; Long, J.
5
2020
The infinitesimal characters of discrete series for real spherical spaces. Zbl 1443.22018
Krötz, Bernhard; Kuit, Job J.; Opdam, Eric M.; Schlichtkrull, Henrik
4
2020
Properties of high rank subvarieties of affine spaces. Zbl 1460.14138
Kazhdan, David; Ziegler, Tamar
4
2020
Branching geodesics in sub-Riemannian geometry. Zbl 1459.53044
Mietton, Thomas; Rizzi, Luca
4
2020
Cohomological obstructions to lifting properties for full C*-algebras of property (T) groups. Zbl 1461.46049
Ioana, Adrian; Spaas, Pieter; Wiersma, Matthew
4
2020
Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps. Zbl 1472.58021
Müller, Werner; Rochon, Frédéric
3
2020
Entropy rigidity for 3D conservative Anosov flows and dispersing billiards. Zbl 1456.37032
De Simoi, Jacopo; Leguil, Martin; Vinhage, Kurt; Yang, Yun
3
2020
Singular vectors on fractals and projections of self-similar measures. Zbl 1448.11127
Khalil, Osama
2
2020
Towards a proof of the Fourier-entropy conjecture? Zbl 1474.94058
Kelman, Esty; Kindler, Guy; Lifshitz, Noam; Minzer, Dor; Safra, Muli
2
2020
Classical theta lifts for higher metaplectic covering groups. Zbl 1478.11066
Friedberg, Solomon; Ginzburg, David
2
2020
Conformal actions of higher rank lattices on compact pseudo-Riemannian manifolds. Zbl 1443.22017
Pecastaing, Vincent
1
2020
Geodesically complete spaces with an upper curvature bound. Zbl 1412.53058
Lytchak, Alexander; Nagano, Koichi
28
2019
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Zbl 1420.49046
Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip
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2019
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Cited by 14,906 Authors

103 Bourgain, Jean
75 Tao, Terence
54 Shparlinski, Igor E.
46 Naor, Assaf
43 Fox, Jacob
43 Tzvetkov, Nikolay
42 Gigli, Nicola
42 Lee, Sanghyuk
40 Shkredov, Il’ya Dmitrievich
39 Kenig, Carlos Eduardo
39 Wise, Daniel T.
38 Kapovich, Ilya
38 Oh, Tadahiro
36 Himonas, A. Alexandrou
35 Shanmugalingam, Nageswari
35 Wei, Juncheng
34 Merle, Frank
33 Ambrosio, Luigi
33 Lubotzky, Alexander
31 Mj, Mahan
31 Raphael, Pierre
30 Guth, Lawrence David
30 Martel, Yvan
30 Peres, Yuval
30 Schlag, Wilhelm
29 Caprace, Pierre-Emmanuel
29 Geng, Jiansheng
29 Hug, Daniel
29 Sisto, Alessandro
29 Zhao, Yufei
28 Iosevich, Alex
28 Lytchak, Alexander
27 Koldobsky, Alexander L.
27 Smith, Ivan
27 Verbitsky, Misha
27 Zhang, Bingyu
26 Klartag, Bo’az
26 Oh, Hee
26 Shmerkin, Pablo S.
26 Sukochev, Fedor Anatol’evich
26 Yan, Wei
25 Björn, Jana
25 Blomer, Valentin
25 Damanik, David
25 Figalli, Alessio
25 Guo, Zihua
25 Kapovich, Michael
25 Leininger, Christopher J.
25 Mendelson, Shahar
25 Miao, Changxing
25 Paouris, Grigoris
25 Rafi, Kasra
25 Sudakov, Benny
25 You, Jiangong
24 Bernig, Andreas
24 Bridson, Martin R.
24 Král’, Daniel
24 Lee, James R.
24 Staffilani, Gigliola
24 Tessera, Romain
24 Yu, Guoliang
23 Bobkov, Sergey Germanovich
23 Chang, Mei-Chu
23 Cheltsov, Ivan Anatol’evich
23 Frauenfelder, Urs Adrian
23 Hagen, Mark F.
23 Koh, Doowon
23 Malchiodi, Andrea
23 Mondino, Andrea
23 Monod, Nicolas
23 Ponge, Raphaël S.
22 Curien, Nicolas
22 Dahmani, François
22 de Lima, Henrique F.
22 Kabluchko, Zakhar A.
22 Kuksin, Sergeĭ B.
22 Myasnikov, Alexei G.
22 Nešetřil, Jaroslav
22 Szegedy, Balázs
22 Thäle, Christoph
21 Benjamini, Itai
21 Björn, Anders
21 Hutchcroft, Tom
21 Junge, Marius
21 Katz, Mikhail G.
21 Kowalski, Emmanuel
21 Parlier, Hugo
21 Pham Van Thang
21 Taylor, Samuel Joseph
21 Tian, Gang
21 Tomczak-Jaegermann, Nicole
21 Uhlmann, Gunther Alberto
21 Vũ Hà Văn
21 Zelditch, Steve
20 Alesker, Semyon
20 Cheeger, Jeff
20 Conlon, David
20 Gelander, Tsachik
20 Gozlan, Nathael
20 Green, Ben Joseph
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Cited in 731 Journals

745 Advances in Mathematics
673 Journal of Functional Analysis
630 Transactions of the American Mathematical Society
467 Proceedings of the American Mathematical Society
434 Communications in Mathematical Physics
409 Mathematische Annalen
388 The Journal of Geometric Analysis
384 Geometric and Functional Analysis. GAFA
356 Israel Journal of Mathematics
347 Duke Mathematical Journal
342 Mathematische Zeitschrift
323 Geometriae Dedicata
310 Journal of Mathematical Analysis and Applications
308 Geometry & Topology
290 Inventiones Mathematicae
275 Journal of Differential Equations
267 Calculus of Variations and Partial Differential Equations
213 Ergodic Theory and Dynamical Systems
210 Annales de l’Institut Fourier
204 Algebraic & Geometric Topology
191 Journal für die Reine und Angewandte Mathematik
188 Journal of the European Mathematical Society (JEMS)
176 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
168 Journal of Mathematical Physics
166 Comptes Rendus. Mathématique. Académie des Sciences, Paris
161 Journal of the American Mathematical Society
161 Annals of Mathematics. Second Series
158 Journal of Geometry and Physics
153 The Annals of Probability
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150 Discrete and Continuous Dynamical Systems
148 Journal d’Analyse Mathématique
148 Groups, Geometry, and Dynamics
143 Annals of Global Analysis and Geometry
139 Revista Matemática Iberoamericana
136 Compositio Mathematica
136 Communications in Partial Differential Equations
124 Journal de Mathématiques Pures et Appliquées. Neuvième Série
123 Journal of Number Theory
123 Differential Geometry and its Applications
122 International Journal of Mathematics
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120 Journal of the London Mathematical Society. Second Series
117 Archive for Rational Mechanics and Analysis
114 Mathematical Proceedings of the Cambridge Philosophical Society
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105 Selecta Mathematica. New Series
104 Bulletin of the London Mathematical Society
100 Memoirs of the American Mathematical Society
100 Topology and its Applications
100 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
100 Discrete & Computational Geometry
98 Communications in Contemporary Mathematics
91 Mathematika
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86 SIAM Journal on Mathematical Analysis
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82 Manuscripta Mathematica
78 Communications on Pure and Applied Mathematics
78 Acta Mathematica Sinica. English Series
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77 Bulletin of the American Mathematical Society. New Series
74 Annales Henri Poincaré
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70 Potential Analysis
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70 Forum of Mathematics, Sigma
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64 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
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61 Forum Mathematicum
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57 Combinatorica
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56 Journal of Dynamics and Differential Equations
55 Commentarii Mathematici Helvetici
55 Pacific Journal of Mathematics
55 Journal of High Energy Physics
54 Journal of Mathematical Sciences (New York)
52 Letters in Mathematical Physics
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51 Monatshefte für Mathematik
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48 Archiv der Mathematik
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48 Analysis and Geometry in Metric Spaces
46 Michigan Mathematical Journal
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