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) 28, No. 3 (2018) 28, No. 2 (2018) 28, No. 1 (2018) 27, No. 6 (2017) 27, No. 5 (2017) 27, No. 4 (2017) 27, No. 3 (2017) 27, No. 2 (2017) 27, No. 1 (2017) 26, No. 6 (2016) 26, No. 5 (2016) 26, No. 4 (2016) 26, No. 3 (2016) 26, No. 2 (2016) 26, No. 1 (2016) 25, No. 6 (2015) 25, No. 5 (2015) 25, No. 4 (2015) 25, No. 3 (2015) 25, No. 2 (2015) 25, No. 1 (2015) 24, No. 6 (2014) 24, No. 5 (2014) 24, No. 4 (2014) 24, No. 3 (2014) 24, No. 2 (2014) 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) 20, No. 2 (2010) 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 all top 5 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 all top 5 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 all cited Publications top 5 cited Publications 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. 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Zbl 1420.49046 Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip 24 2019 ...and 1182 more Documents all cited Publications top 5 cited Publications all top 5 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. 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