## 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.
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### Latest Issues

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### Authors

 34 Bourgain, Jean 13 Tao, Terence 11 Gromov, Mikhael Leonidovich 10 Cheeger, Jeff 9 Guth, Lawrence David 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) 149 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) 112 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)

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Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078
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Functors and computations in Floer homology with applications. I. Zbl 0954.57015
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A sharp bilinear restriction estimate for paraboloids. Zbl 1068.42011
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Entropy and rigidity of locally symmetric spaces of strictly negative curvature. (Entropies et rigidités des espaces localement symétriques de courbure strictement négative.) Zbl 0851.53032
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Isoperimetry of waists and concentration of maps. Zbl 1044.46057
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Concentration of mass on convex bodies. Zbl 1114.52004
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Bounds on oscillatory integral operators based on multilinear estimates. Zbl 1237.42010
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On convex perturbations with a bounded isotropic constant. Zbl 1113.52014
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A new proof of Szemerédi’s theorem for arithmetic progressions of length four. Zbl 0907.11005
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On the Cauchy problem for the Kadomtsev-Petviashvili equation. Zbl 0787.35086
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Besicovitch type maximal operators and applications to Fourier analysis. Zbl 0756.42014
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Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043
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Description of translation invariant valuations on convex sets with solution of P. McMullen’s conjecture. Zbl 0995.52001
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Approximating $$L^ 2$$-invariants by their finite-dimensional analogues. Zbl 0853.57021
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A Szemerédi-type regularity lemma in abelian groups, with applications. Zbl 1160.11314
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Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on $$S^ n$$. Zbl 0754.47041
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On Selberg’s eigenvalue conjecture. Zbl 0844.11038
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Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311
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Construction of periodic solutions of nonlinear wave equations in higher dimension. Zbl 0834.35083
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1995
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Zbl 1061.35135
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2003
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
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2000
Szemerédi’s lemma for the analyst. Zbl 1123.46020
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2007
The analogues of entropy and of Fisher’s information measure in free probability theory. III: The absence of Cartan subalgebras. Zbl 0856.60012
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1996
Group-invariant percolation on graphs. Zbl 0924.43002
Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O.
1999
Ahlfors $$Q$$-regular spaces with arbitrary $$Q>1$$ admitting weak Poincaré inequality. Zbl 0962.30006
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2000
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
2008
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
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1998
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
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2010
A variational approach for compact homogeneous Einstein manifolds. Zbl 1068.53029
Böhm, C.; Wang, M.; Ziller, W.
2004
Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations. Zbl 0872.35007
Bourgain, Jean
1996
On triples in arithmetic progression. Zbl 0959.11004
Bourgain, Jean
1999
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
2002
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
1997
Diophantine geometry over groups. VI: The elementary theory of a free group. Zbl 1118.20035
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2006
Extremal Kähler metrics and complex deformation theory. Zbl 0801.53050
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1994
Continuous bounded cohomology and applications to rigidity theory. Zbl 1006.22010
Burger, M.; Monod, N.
2002
Relative volume comparison with integral curvature bounds. Zbl 0910.53029
Petersen, P.; Wei, G.
1997
Asymptotic properties of linear groups. (Propriétés asymptotiques des groupes linéaires.) Zbl 0947.22003
Bénoist, Y.
1997
On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture. Zbl 1216.11057
Ichino, Atsushi; Ikeda, Tamotsu
2010
Local smoothing type estimates on $$L^p$$ for large $$p$$. Zbl 0972.42005
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2000
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
2009
A measure concentration inequality for contracting Markov chains. Zbl 0856.60072
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1996
Rank rigidity for CAT(0) cube complexes. Zbl 1266.20054
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2011
Heat kernel and Green function estimates on noncompact symmetric spaces. Zbl 0942.43005
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1999
A bilinear approach to cone multipliers. II: Applications. Zbl 0949.42013
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2000
Approximate subgroups of linear groups. Zbl 1229.20045
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2011
Instability of solitons for the critical generalized Korteweg-de Vries equation. Zbl 0985.35071
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2001
Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank $$1$$ Lie groups. II. Zbl 0884.20025
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1997
Property (T) and Kazhdan constants for discrete groups. Zbl 1036.22004
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2003
Growth and percolation on the uniform infinite planar triangulation. Zbl 1039.60085
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2003
From the Mahler conjecture to Gauss linking integrals. Zbl 1169.52004
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2008
The distribution of values of $$L(1,\chi_d)$$. Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
2003
Dynamic of threshold solutions for energy-critical NLS. Zbl 1232.35150
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2009
The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044
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2006
A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation. Zbl 0999.35069
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2002
Floer homology and the heat flow. Zbl 1118.53056
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2006
Embedding Riemannian manifolds by their heat kernel. Zbl 0806.53044
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1994
Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027
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1995
Some deviation inequalities. Zbl 0756.60018
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1991
Moments of two-variable functions and the uniqueness of graph limits. Zbl 1223.05193
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2010
Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel. Zbl 1147.33004
Schapira, Bruno
2008
Lower bounds of tower type for Szemerédi’s uniformity lemma. Zbl 0876.05053
Gowers, W. T.
1997
A KAM scheme for SL(2, $$\mathbb R$$) cocycles with Liouvillean frequencies. Zbl 1277.37089
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2011
Cubulating small cancellation groups. Zbl 1071.20038
Wise, D. T.
2004
A bilinear approach to cone multipliers. I: Restriction estimates. Zbl 0949.42012
Tao, Terence C.; Vargas, Ana M.
2000
Exponential sums and nonlinear Schrödinger equations. Zbl 0787.35096
Bourgain, J.
1993
Berger’s isoperimetric problem and minimal immersions of surfaces. Zbl 0868.58079
1996
Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2007
On the Erdős-Volkmann and Katz-Tao ring conjectures. Zbl 1115.11049
Bourgain, J.
2003
Lipschitz maps and nets in Euclidean space. Zbl 0941.37030
McMullen, C. T.
1998
Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050
Ball, K.
1992
A functional analytic approach to intersection bodies. Zbl 0974.52002
Koldobsky, A.
2000
Riemannian tori without conjugate points are flat. Zbl 0808.53038
Burago, D.; Ivanov, S.
1994
The multiplicative structure on continuous polynomial valuations. Zbl 1072.52011
Alesker, S.
2004
An equivalence of fusion categories. Zbl 0860.17040
Finkelberg, M.
1996
On $$L^2$$-cohomology and property (T) for automorphism groups of polyhedral cell complexes. Zbl 0897.22007
Ballmann, W.; Świątkowski, J.
1997
Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
2012
Random matrices: The distribution of the smallest singular values. Zbl 1210.60014
Tao, Terence; Vu, Van
2010
$$\pi_1$$ of symplectic automorphism groups and invertibles in quantum homology rings. Zbl 0928.53042
Seidel, P.
1997
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
2016
Cohomology of compact hyperkähler manifolds and its applications. Zbl 0861.53069
Verbitsky, M.
1996
Differential Harnack estimates for time-dependent heat equations with potentials. Zbl 1183.53059
Cao, Xiaodong; Hamilton, Richard S.
2009
Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere. Zbl 1166.60006
Le Gall, Jean-François; Paulin, Frédéric
2008
Conformally invariant systems of nonlinear PDE of Liouville type. Zbl 0858.35035
Chanillo, S.; Kiessling, M. K.-H.
1995
Random walks on graphs with regular volume growth. Zbl 0918.60053
Coulhon, T.; Grigoryan, A.
1998
Harmonic analysis of translation invariant valuations. Zbl 1228.53088
Alesker, Semyon; Bernig, Andreas; Schuster, Franz E.
2011
Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below. Zbl 07511028
Liu, Gang; Székelyhidi, Gábor
2022
Random hyperbolic surfaces of large genus have first eigenvalues greater than $$\frac{3}{16}-\epsilon$$. Zbl 1487.32072
Wu, Yunhui; Xue, Yuhao
2022
Ricci solitons, conical singularities, and nonuniqueness. Zbl 07536479
Angenent, Sigurd B.; Knopf, Dan
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
2022
Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues. Zbl 1484.35169
Liu, Wencai
2022
Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces. Zbl 07506900
2022
Ramanujan complexes and golden gates in $$PU(3)$$. Zbl 1490.11059
Evra, Shai; Parzanchevski, Ori
2022
Lamplighters and the bounded cohomology of Thompson’s group. Zbl 07536483
Monod, Nicolas
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
2022
An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture. Zbl 07363293
Chen, Yuansi
2021
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems. Zbl 1480.35305
Girouard, Alexandre; Karpukhin, Mikhail; Lagacé, Jean
2021
A proof of Ringel’s conjecture. Zbl 1473.05249
Montgomery, R.; Pokrovskiy, A.; Sudakov, B.
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
2021
Entangleability of cones. Zbl 1475.15034
Aubrun, Guillaume; Lami, Ludovico; Palazuelos, Carlos; Plávala, Martin
2021
Ergodic theory of affine isometric actions on Hilbert spaces. Zbl 07509443
Arano, Yuki; Isono, Yusuke; Marrakchi, Amine
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
2021
The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces. Zbl 1468.19009
Gong, Sherry; Wu, Jianchao; Yu, Guoliang
2021
Singularity of discrete random matrices. Zbl 1491.15040
Jain, Vishesh; Sah, Ashwin; Sawhney, Mehtaab
2021
Point-like bounding chains in open Gromov-Witten theory. Zbl 07509447
Solomon, Jake P.; Tukachinsky, Sara B.
2021
A numerical criterion for generalised Monge-Ampère equations on projective manifolds. Zbl 07405887
Datar, Ved V.; Pingali, Vamsi Pritham
2021
Building manifolds from quantum codes. Zbl 1485.53115
Freedman, Michael; Hastings, Matthew
2021
On the variance of squarefree integers in short intervals and arithmetic progressions. Zbl 1473.11180
2021
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
2020
Symmetry results for critical anisotropic $$p$$-Laplacian equations in convex cones. Zbl 1453.35104
Ciraolo, Giulio; Figalli, Alessio; Roncoroni, Alberto
2020
Anderson localization for multi-frequency quasi-periodic operators on $$\mathbb{Z}^d$$. Zbl 07219753
Jitomirskaya, Svetlana; Liu, Wencai; Shi, Yunfeng
2020
Uryson width and volume. Zbl 1453.53050
Papasoglu, Panos
2020
Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds. Zbl 1436.49054
Schulze, Felix
2020
A landing theorem for entire functions with bounded post-singular sets. Zbl 1461.37047
Benini, Anna Miriam; Rempe, Lasse
2020
Contact manifolds with flexible fillings. Zbl 1436.53055
Lazarev, Oleg
2020
Symplectic cohomology rings of affine varieties in the topological limit. Zbl 1451.53118
Ganatra, Sheel; Pomerleano, Daniel
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
2020
On the random wave conjecture for dihedral Maaß forms. Zbl 1462.11041
Humphries, Peter; Khan, Rizwanur
2020
Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines. Zbl 1436.30009
Viklund, Fredrik; Wang, Yilin
2020
Flows on the PGL(V)-Hitchin component. Zbl 07219757
Sun, Zhe; Wienhard, Anna; Zhang, Tengren
2020
Very functorial, very fast, and very easy resolution of singularities. Zbl 1467.14039
McQuillan, Michael
2020
Small cap decouplings. With an appendix by D. R. Heath-Brown. Zbl 1454.42008
Demeter, Ciprian; Guth, Larry; Wang, Hong
2020
Properties of high rank subvarieties of affine spaces. Zbl 1460.14138
Kazhdan, David; Ziegler, Tamar
2020
Arithmetic version of Anderson localization via reducibility. Zbl 1454.82017
Ge, Lingrui; You, Jiangong
2020
Non-simplicity of isocontact embeddings in all higher dimensions. Zbl 1436.53054
Casals, Roger; Etnyre, John B.
2020
Traceless AF embeddings and unsuspended $$E$$-theory. Zbl 1466.46050
Gabe, James
2020
Laplacian algebras, manifold submetries and the inverse invariant theory problem. Zbl 1446.53016
Mendes, Ricardo A. E.; Radeschi, Marco
2020
Edge rigidity and universality of random regular graphs of intermediate degree. Zbl 1453.05117
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer
2020
The infinitesimal characters of discrete series for real spherical spaces. Zbl 1443.22018
Krötz, Bernhard; Kuit, Job J.; Opdam, Eric M.; Schlichtkrull, Henrik
2020
Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps. Zbl 1472.58021
Müller, Werner; Rochon, Frédéric
2020
Entropy rigidity for 3D conservative Anosov flows and dispersing billiards. Zbl 1456.37032
De Simoi, Jacopo; Leguil, Martin; Vinhage, Kurt; Yang, Yun
2020
Singular vectors on fractals and projections of self-similar measures. Zbl 1448.11127
Khalil, Osama
2020
Branching geodesics in sub-Riemannian geometry. Zbl 1459.53044
Mietton, Thomas; Rizzi, Luca
2020
Uniqueness of some Calabi-Yau metrics on $$\mathbf{C}^n$$. Zbl 1468.14076
Székelyhidi, Gábor
2020
A long neck principle for Riemannian spin manifolds with positive scalar curvature. Zbl 1455.58008
Cecchini, Simone
2020
Regularity of area minimizing currents mod $$p$$. Zbl 1456.49032
De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore
2020
Cohomological obstructions to lifting properties for full C*-algebras of property (T) groups. Zbl 1461.46049
Ioana, Adrian; Spaas, Pieter; Wiersma, Matthew
2020
Classical theta lifts for higher metaplectic covering groups. Zbl 1478.11066
Friedberg, Solomon; Ginzburg, David
2020
Geodesically complete spaces with an upper curvature bound. Zbl 1412.53058
Lytchak, Alexander; Nagano, Koichi
2019
Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces. Zbl 1431.53046
Ambrosio, Luigi; Brué, Elia; Semola, Daniele
2019
Long-time existence for multi-dimensional periodic water waves. Zbl 1420.35243
Ionescu, A. D.; Pusateri, F.
2019
A steady Euler flow with compact support. Zbl 1414.35157
Gavrilov, A. V.
2019
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Zbl 1420.49046
Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip
2019
Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018
Cao, Yongluo; Pesin, Yakov; Zhao, Yun
2019
Finitary random interlacements and the Gaboriau-Lyons problem. Zbl 1418.37005
Bowen, Lewis
2019
Application of signal analysis to the embedding problem of $${\mathbb{Z}}^k$$-actions. Zbl 1427.37013
Gutman, Yonatan; Qiao, Yixiao; Tsukamoto, Masaki
2019
Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications. Zbl 1427.35189
Constantin, Peter; La, Joonhyun; Vicol, Vlad
2019
Double variational principle for mean dimension. Zbl 1433.37025
Lindenstrauss, Elon; Tsukamoto, Masaki
2019
An $$L^2$$-identity and pinned distance problem. Zbl 1416.28005
Liu, Bochen
2019
Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components. Zbl 1447.58013
Mondello, Gabriele; Panov, Dmitri
2019
The Weyl law for the phase transition spectrum and density of limit interfaces. Zbl 1416.53009
Gaspar, Pedro; Guaraco, Marco A. M.
2019
The base change in the Atiyah and the Lück approximation conjectures. Zbl 1453.20007
Jaikin-Zapirain, Andrei
2019
Percolation on hyperbolic graphs. Zbl 1474.60230
Hutchcroft, Tom
2019
Anderson localization for two interacting quasiperiodic particles. Zbl 07040581
Bourgain, Jean; Kachkovskiy, Ilya
2019
Synthesizable differentiation-invariant subspaces. Zbl 1423.30038
Baranov, Anton; Belov, Yurii
2019
Large genus asymptotics for Siegel-Veech constants. Zbl 1427.14053
Aggarwal, Amol
2019
Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree. Zbl 1452.32034
Brotbek, Damian; Deng, Ya
2019
Density of algebraic points on Noetherian varieties. Zbl 07040583
Binyamini, Gal
2019
Small gaps of GOE. Zbl 1434.60025
Feng, Renjie; Tian, Gang; Wei, Dongyi
2019
Riemannian curvature measures. Zbl 1432.53021
Fu, Joseph H. G.; Wannerer, Thomas
2019
The sparse circular law under minimal assumptions. Zbl 1442.15058
Rudelson, Mark; Tikhomirov, Konstantin
2019
Geodesic currents and counting problems. Zbl 1420.30012
Rafi, Kasra; Souto, Juan
2019
Polynomial bound for partition rank in terms of analytic rank. Zbl 1442.11027
Milićević, Luka
2019
Pointwise lower scalar curvature bounds for $$C^0$$ metrics via regularizing Ricci flow. Zbl 1430.53042
Burkhardt-Guim, Paula
2019
On the Yang-Yau inequality for the first Laplace eigenvalue. Zbl 1429.58040
Karpukhin, Mikhail
2019
New bounds on the dimensions of planar distance sets. Zbl 1428.28005
Keleti, Tamás; Shmerkin, Pablo
2019
Characterizing spaces satisfying Poincaré inequalities and applications to differentiability. Zbl 1415.30033
Eriksson-Bique, Sylvester
2019
On the symplectic size of convex polytopes. Zbl 1425.53097
Haim-Kislev, Pazit
2019
Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian. Zbl 1430.58022
Jitomirskaya, Svetlana; Liu, Wencai
2019
Bipolar comparison. Zbl 1481.53089
Lebedeva, Nina; Petrunin, Anton; Zolotov, Vladimir
2019
Affine actions with Hitchin linear part. Zbl 1427.57028
Danciger, Jeffrey; Zhang, Tengren
2019
Incidence estimates for well spaced tubes. Zbl 1460.52017
Guth, Larry; Solomon, Noam; Wang, Hong
2019
Badly approximable points on manifolds and unipotent orbits in homogeneous spaces. Zbl 1478.11096
Yang, Lei
2019
Gaps in scl for amalgamated free products and RAAGs. Zbl 1475.20064
Heuer, Nicolaus
2019
A gluing construction of collapsing Calabi-Yau metrics on $$K3$$ fibred 3-folds. Zbl 1440.53054
Li, Yang
2019
Harmonic maps for Hitchin representations. Zbl 1490.53085
Li, Qiongling
2019
A tight bound for hypergraph regularity. Zbl 1426.05120
Moshkovitz, Guy; Shapira, Asaf
2019
On connected preimages of simply-connected domains under entire functions. Zbl 1441.30040
Rempe-Gillen, Lasse; Sixsmith, Dave
2019
Half-dimensional collapse of ends of manifolds of nonpositive curvature. Zbl 1432.53050
Avramidi, Grigori; Nguyễn-Phan, T. Tâm
2019
On loops intersecting at most once. Zbl 1435.57020
Greene, Joshua Evan
2019
Functions of bounded fractional variation and fractal currents. Zbl 1454.49043
Züst, Roger
2019
Fluctuations of two dimensional Coulomb gases. Zbl 1423.60045
Leblé, Thomas; Serfaty, Sylvia
2018
Unique equilibrium states for geodesic flows in nonpositive curvature. Zbl 1401.37038
Burns, K.; Climenhaga, V.; Fisher, T.; Thompson, D. J.
2018
Low regularity conservation laws for integrable PDE. Zbl 1428.35452
Killip, Rowan; Vişan, Monica; Zhang, Xiaoyi
2018
Gaussian-width gradient complexity, reverse log-Sobolev inequalities and nonlinear large deviations. Zbl 1428.60045
Eldan, Ronen
2018
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
2018
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### Cited by 12,776 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 ...and 12,676 more Authors
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### Cited in 670 Journals

 634 Advances in Mathematics 591 Journal of Functional Analysis 563 Transactions of the American Mathematical Society 418 Proceedings of the American Mathematical Society 369 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 ...and 570 more Journals
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### Cited in 63 Fields

 3,792 Differential geometry (53-XX) 3,579 Partial differential equations (35-XX) 2,018 Dynamical systems and ergodic theory (37-XX) 1,932 Global analysis, analysis on manifolds (58-XX) 1,867 Group theory and generalizations (20-XX) 1,729 Number theory (11-XX) 1,627 Manifolds and cell complexes (57-XX) 1,602 Functional analysis (46-XX) 1,550 Probability theory and stochastic processes (60-XX) 1,252 Combinatorics (05-XX) 1,060 Topological groups, Lie groups (22-XX) 1,018 Several complex variables and analytic spaces (32-XX) 920 Algebraic geometry (14-XX) 879 Convex and discrete geometry (52-XX) 857 Functions of a complex variable (30-XX) 804 Harmonic analysis on Euclidean spaces (42-XX) 676 Operator theory (47-XX) 637 Measure and integration (28-XX) 607 Quantum theory (81-XX) 557 Calculus of variations and optimal control; optimization (49-XX) 438 Fluid mechanics (76-XX) 405 Real functions (26-XX) 392 Abstract harmonic analysis (43-XX) 375 Statistical mechanics, structure of matter (82-XX) 320 Computer science (68-XX) 297 General topology (54-XX) 291 Geometry (51-XX) 260 Potential theory (31-XX) 249 Algebraic topology (55-XX) 247 Mathematical logic and foundations (03-XX) 242 $$K$$-theory (19-XX) 227 Linear and multilinear algebra; matrix theory (15-XX) 181 Ordinary differential equations (34-XX) 181 Relativity and gravitational theory (83-XX) 178 Numerical analysis (65-XX) 169 Information and communication theory, circuits (94-XX) 165 Nonassociative rings and algebras (17-XX) 144 Statistics (62-XX) 126 Category theory; homological algebra (18-XX) 126 Mechanics of particles and systems (70-XX) 124 Associative rings and algebras (16-XX) 114 Special functions (33-XX) 98 Integral transforms, operational calculus (44-XX) 85 Operations research, mathematical programming (90-XX) 82 Difference and functional equations (39-XX) 67 Approximations and expansions (41-XX) 59 Biology and other natural sciences (92-XX) 59 Systems theory; control (93-XX) 55 Mechanics of deformable solids (74-XX) 55 Geophysics (86-XX) 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) 34 History and biography (01-XX) 27 Integral equations (45-XX) 13 General algebraic systems (08-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Astronomy and astrophysics (85-XX) 4 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)