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: 1,334 Publications (since 1991) References Indexed: 789 Publications with 24,103 References. all top 5 Latest Issues 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) 17, No. 4 (2007) 17, No. 3 (2007) 17, No. 2 (2007) ...and 91 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 Nadirashvili, Nikolai S. 8 Peres, Yuval 7 Alon, Noga 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 Oh, Hee 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 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 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 Ioana, Adrian 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 Rudnick, Zeév 4 Saloff-Coste, Laurent 4 Seidel, Paul 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 Azzam, Jonas 3 Balacheff, Florent 3 Benjamini, Itai 3 Bernig, Andreas 3 Bestvina, Mladen 3 Bialy, Misha 3 Bismut, Jean-Michel 3 Botvinnik, Boris I. 3 Bridgeman, Martin J. 3 Bridson, Martin R. ...and 1,454 more Authors all top 5 Fields 404 Differential geometry (53-XX) 198 Global analysis, analysis on manifolds (58-XX) 185 Dynamical systems and ergodic theory (37-XX) 182 Manifolds and cell complexes (57-XX) 154 Number theory (11-XX) 146 Group theory and generalizations (20-XX) 131 Partial differential equations (35-XX) 126 Several complex variables and analytic spaces (32-XX) 119 Functional analysis (46-XX) 117 Topological groups, Lie groups (22-XX) 110 Functions of a complex variable (30-XX) 102 Probability theory and stochastic processes (60-XX) 100 Algebraic geometry (14-XX) 81 Combinatorics (05-XX) 75 Convex and discrete geometry (52-XX) 54 Measure and integration (28-XX) 49 Harmonic analysis on Euclidean spaces (42-XX) 43 Operator theory (47-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 37 Abstract harmonic analysis (43-XX) 34 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 Linear and multilinear algebra; matrix theory (15-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) 7 Associative rings and algebras (16-XX) 6 Computer science (68-XX) 6 Mechanics of particles and systems (70-XX) 5 Ordinary differential equations (34-XX) 5 Integral transforms, operational calculus (44-XX) 5 Numerical analysis (65-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 3 Operations research, mathematical programming (90-XX) 2 Field theory and polynomials (12-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 General algebraic systems (08-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,271 Publications have been cited 27,501 times in 19,993 Documents Cited by ▼ Year ▼ Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations. Zbl 0787.35097Bourgain, J. 539 1993 Differentiability of Lipschitz functions on metric measure spaces. Zbl 0942.58018Cheeger, J. 487 1999 Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation. Zbl 0787.35098Bourgain, J. 440 1993 A new proof of Szemerédi’s theorem. Zbl 1028.11005Gowers, W. T. 266 2001 Geometry of the complex of curves. II: Hierarchical structure. Zbl 0972.32011Masur, H. A.; Minsky, Y. N. 260 2000 The local index formula in noncommutative geometry. Zbl 0960.46048Connes, A.; Moscovici, H. 209 1995 A sum-product estimate in finite fields, and applications. Zbl 1145.11306Bourgain, Jean; Katz, N.; Tao, Terence C. 189 2004 Random walk in random groups. Zbl 1122.20021Gromov, M. 187 2003 Polar factorization of maps on Riemannian manifolds. Zbl 1011.58009McCann, Robert J. 177 2001 Relatively hyperbolic groups. Zbl 0985.20027Farb, B. 176 1998 Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078Constantin, Peter; Vicol, Vlad 173 2012 Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014Kechris, A. S.; Pestov, V. G.; Todorcevic, S. 173 2005 Special cube complexes. Zbl 1155.53025Haglund, Frédéric; Wise, Daniel T. 172 2008 Transportation cost for Gaussian and other product measures. Zbl 0859.46030Talagrand, M. 171 1996 Functors and computations in Floer homology with applications. I. Zbl 0954.57015Viterbo, C. 171 1999 Entropy and rigidity of locally symmetric spaces of strictly negative curvature. (Entropies et rigidités des espaces localement symétriques de courbure strictement négative.) Zbl 0851.53032Besson, G.; Courtois, G.; Gallot, S. 144 1995 A sharp bilinear restriction estimate for paraboloids. Zbl 1068.42011Tao, Terence C. 144 2003 Embeddings of Gromov hyperbolic spaces. Zbl 0972.53021Bonk, M.; Schramm, O. 143 2000 Isoperimetry of waists and concentration of maps. Zbl 1044.46057Gromov, M. 142 2003 Bounds on oscillatory integral operators based on multilinear estimates. Zbl 1237.42010Bourgain, Jean; Guth, Larry 134 2011 Concentration of mass on convex bodies. Zbl 1114.52004Paouris, G. 122 2006 A new proof of Szemerédi’s theorem for arithmetic progressions of length four. Zbl 0907.11005Gowers, W. T. 117 1998 Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043Higson, N.; Lafforgue, V.; Skandalis, G. 116 2002 On convex perturbations with a bounded isotropic constant. Zbl 1113.52014Klartag, B. 113 2006 Besicovitch type maximal operators and applications to Fourier analysis. Zbl 0756.42014Bourgain, J. 109 1991 Description of translation invariant valuations on convex sets with solution of P. McMullen’s conjecture. Zbl 0995.52001Alesker, S. 108 2001 On the Cauchy problem for the Kadomtsev-Petviashvili equation. Zbl 0787.35086Bourgain, J. 106 1993 A Szemerédi-type regularity lemma in abelian groups, with applications. Zbl 1160.11314Green, Ben 100 2005 Approximating \(L^ 2\)-invariants by their finite-dimensional analogues. Zbl 0853.57021Lück, W. 94 1994 On Selberg’s eigenvalue conjecture. Zbl 0844.11038Luo, W.; Rudnick, Z.; Sarnak, P. 92 1995 Classical solutions of the periodic Camassa-Holm equation. Zbl 1158.37311Misiołek, G. 90 2002 Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on \(S^ n\). Zbl 0754.47041Carlen, E.; Loss, M. 89 1992 Construction of periodic solutions of nonlinear wave equations in higher dimension. Zbl 0834.35083Bourgain, Jean 88 1995 Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Zbl 1061.35135Merle, Frank; Raphaël, Pierre 88 2003 Szemerédi’s lemma for the analyst. Zbl 1123.46020Lovász, László; Szegedy, Balázs 87 2007 The analogues of entropy and of Fisher’s information measure in free probability theory. III: The absence of Cartan subalgebras. Zbl 0856.60012Voiculescu, D. 86 1996 From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019Bobkov, S. G.; Ledoux, M. 86 2000 The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence 85 2008 Rank rigidity for CAT(0) cube complexes. Zbl 1266.20054Caprace, Pierre-Emmanuel; Sageev, Michah 84 2011 Local smoothing type estimates on \(L^p\) for large \(p\). Zbl 0972.42005Wolff, T. 83 2000 Group-invariant percolation on graphs. Zbl 0924.43002Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O. 82 1999 Asymptotic properties of linear groups. (Propriétés asymptotiques des groupes linéaires.) Zbl 0947.22003Bénoist, Y. 81 1997 Approximate subgroups of linear groups. Zbl 1229.20045Breuillard, Emmanuel; Green, Ben; Tao, Terence 81 2011 Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039Gromov, Mikhail 81 2010 Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality. Zbl 0962.30006Laakso, T. J. 81 2000 Continuous bounded cohomology and applications to rigidity theory. Zbl 1006.22010Burger, M.; Monod, N. 80 2002 A variational approach for compact homogeneous Einstein manifolds. Zbl 1068.53029Böhm, C.; Wang, M.; Ziller, W. 79 2004 Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations. Zbl 0872.35007Bourgain, Jean 78 1996 Diophantine geometry over groups. VI: The elementary theory of a free group. Zbl 1118.20035Sela, Z. 78 2006 Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002Bestvina, M.; Feighn, M.; Handel, M. 77 1997 Relative volume comparison with integral curvature bounds. Zbl 0910.53029Petersen, P.; Wei, G. 77 1997 Extremal Kähler metrics and complex deformation theory. Zbl 0801.53050LeBrun, C.; Simanca, S. R. 76 1994 Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M. 76 1998 On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046Cheeger, J.; Colding, T. H.; Tian, G. 76 2002 A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies. Zbl 1277.37089Avila, Artur; Fayad, Bassam; Krikorian, Raphaël 73 2011 On triples in arithmetic progression. Zbl 0959.11004Bourgain, Jean 73 1999 A bilinear approach to cone multipliers. II: Applications. Zbl 0949.42013Tao, Terence C.; Vargas, Ana M. 72 2000 Heat kernel and Green function estimates on noncompact symmetric spaces. Zbl 0942.43005Anker, J.-P.; Ji, L. 71 1999 Growth and percolation on the uniform infinite planar triangulation. Zbl 1039.60085Angel, Omer 71 2003 KAM for the nonlinear beam equation. Zbl 1370.35214Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B. 70 2016 A measure concentration inequality for contracting Markov chains. Zbl 0856.60072Marton, K. 70 1996 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067Donaldson, Simon K. 70 2009 On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture. Zbl 1216.11057Ichino, Atsushi; Ikeda, Tamotsu 70 2010 Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II. Zbl 0884.20025Sela, Z. 69 1997 Floer homology and the heat flow. Zbl 1118.53056Salamon, D. A.; Weber, J. 68 2006 Property (T) and Kazhdan constants for discrete groups. Zbl 1036.22004Żuk, Andrzej 68 2003 Cubulating small cancellation groups. Zbl 1071.20038Wise, D. T. 67 2004 Dynamic of threshold solutions for energy-critical NLS. Zbl 1232.35150Duyckaerts, Thomas; Merle, Frank 67 2009 Instability of solitons for the critical generalized Korteweg-de Vries equation. Zbl 0985.35071Martel, Y.; Merle, F. 67 2001 The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080Granville, Andrew; Soundararajan, K. 66 2003 Embedding Riemannian manifolds by their heat kernel. Zbl 0806.53044Bérard, P.; Besson, G.; Gallot, S. 65 1994 The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044Ghoussoub, N.; Robert, F. 65 2006 From the Mahler conjecture to Gauss linking integrals. Zbl 1169.52004Kuperberg, Greg 65 2008 A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation. Zbl 0999.35069Katz, N. H.; Pavlović, N. 65 2002 Cohomology of compact hyperkähler manifolds and its applications. Zbl 0861.53069Verbitsky, M. 63 1996 Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027Hofer, H.; Wysocki, K.; Zehnder, E. 62 1995 On the Erdős-Volkmann and Katz-Tao ring conjectures. Zbl 1115.11049Bourgain, J. 62 2003 Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel. Zbl 1147.33004Schapira, Bruno 61 2008 Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 60 2012 A bilinear approach to cone multipliers. I: Restriction estimates. Zbl 0949.42012Tao, Terence C.; Vargas, Ana M. 59 2000 Berger’s isoperimetric problem and minimal immersions of surfaces. Zbl 0868.58079Nadirashvili, N. 58 1996 Some deviation inequalities. Zbl 0756.60018Maurey, B. 57 1991 Lower bounds of tower type for Szemerédi’s uniformity lemma. Zbl 0876.05053Gowers, W. T. 57 1997 Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole 57 2007 Moments of two-variable functions and the uniqueness of graph limits. Zbl 1223.05193Borgs, Christian; Chayes, Jennifer; Lovász, László 57 2010 Exponential sums and nonlinear Schrödinger equations. Zbl 0787.35096Bourgain, J. 56 1993 On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes. Zbl 0897.22007Ballmann, W.; Świątkowski, J. 56 1997 An equivalence of fusion categories. Zbl 0860.17040Finkelberg, M. 55 1996 \(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings. Zbl 0928.53042Seidel, P. 55 1997 Riemannian tori without conjugate points are flat. Zbl 0808.53038Burago, D.; Ivanov, S. 54 1994 Lipschitz maps and nets in Euclidean space. Zbl 0941.37030McMullen, C. T. 54 1998 The multiplicative structure on continuous polynomial valuations. Zbl 1072.52011Alesker, S. 54 2004 Differential Harnack estimates for time-dependent heat equations with potentials. Zbl 1183.53059Cao, Xiaodong; Hamilton, Richard S. 54 2009 Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050Ball, K. 53 1992 Random matrices: The distribution of the smallest singular values. Zbl 1210.60014Tao, Terence; Vu, Van 53 2010 A functional analytic approach to intersection bodies. Zbl 0974.52002Koldobsky, A. 53 2000 Interpolating and sampling sequences for entire functions. Zbl 1097.30041Marco, Nicolas; Massaneda, Xavier; Ortega-Cerdà, Joaquim 51 2003 Conformally invariant systems of nonlinear PDE of Liouville type. Zbl 0858.35035Chanillo, S.; Kiessling, M. K.-H. 50 1995 Kirszbraun’s theorem and metric spaces of bounded curvature. Zbl 0891.53046Lang, U.; Schroeder, V. 50 1997 Harmonic analysis of translation invariant valuations. 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Zbl 1453.20007Jaikin-Zapirain, Andrei 15 2019 ...and 1171 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 14,327 Authors 103 Bourgain, Jean 73 Tao, Terence 52 Shparlinski, Igor E. 46 Naor, Assaf 42 Fox, Jacob 42 Tzvetkov, Nikolay 40 Gigli, Nicola 40 Lee, Sanghyuk 39 Shkredov, Il’ya Dmitrievich 38 Kapovich, Ilya 37 Kenig, Carlos Eduardo 37 Oh, Tadahiro 36 Wise, Daniel T. 35 Himonas, A. 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