Edit Profile Fayad, Bassam R. Compute Distance To: Compute Author ID: fayad.bassam-r Published as: Fayad, B.; Fayad, B. R.; Fayad, Bassam; Fayad, Bassam R. External Links: MGP Documents Indexed: 48 Publications since 2000 all top 5 Co-Authors 13 single-authored 8 Krikorian, Raphaël 4 Dolgopyat, Dmitry 3 Avila Cordeiro de Melo, Artur 3 Bounemoura, Abed 3 Eliasson, L. Hakan 3 Katok, Anatole B. 3 Niederman, Laurent 3 Saprykina, Maria 3 Windsor, Alistair 2 Bochi, Jairo 2 Kanigowski, Adam 2 Zhang, Zhiyuan 1 Damjanović, Danijela 1 Khanin, Konstantin M. 1 Kocsard, Alejandro 1 Le Calvez, Patrice 1 Lemańczyk, Mariusz 1 Pujals, Enrique Ramiro 1 Qu, Yanhui 1 Thouvenot, Jean-Paul 1 Vinogradov, Ilya 1 Xu, Disheng all top 5 Serials 6 Ergodic Theory and Dynamical Systems 3 Inventiones Mathematicae 3 Journal of Modern Dynamics 2 Nonlinearity 2 Acta Arithmetica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Geometric and Functional Analysis. GAFA 2 Moscow Mathematical Journal 1 Communications in Mathematical Physics 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 47 Dynamical systems and ergodic theory (37-XX) 6 Number theory (11-XX) 5 Mechanics of particles and systems (70-XX) 4 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 41 Publications have been cited 349 times in 243 Documents Cited by ▼ Year ▼ Constructions in elliptic dynamics. Zbl 1089.37012Fayad, Bassam; Katok, Anatole 46 2004 A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies. Zbl 1277.37089Avila, Artur; Fayad, Bassam; Krikorian, Raphaël 42 2011 Rigidity results for quasiperiodic \(\mathrm{SL}(2, \mathbb R)\)-cocycles. Zbl 1191.37007Fayad, Bassam; Krikorian, Raphaël 20 2009 Herman’s last geometric theorem. Zbl 1175.37062Fayad, Bassam; Krikorian, Raphaël 20 2009 Mixing in the absence of the shrinking target property. Zbl 1194.37013Fayad, Bassam 19 2006 Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary. Zbl 1090.37001Fayad, Bassam; Saprykina, Maria 18 2005 Analytic mixing reparametrizations of irrational flows. Zbl 1136.37307Fayad, Bassam R. 18 2002 Weak mixing for reparameterized linear flows on the torus. Zbl 1001.37006Fayad, Bassam R. 14 2002 Non-standard smooth realizations of Liouville rotations. Zbl 1127.37008Fayad, B. R.; Saprykina, M.; Windsor, A. 12 2007 Around the stability of KAM tori. Zbl 1366.37126Eliasson, L. H.; Fayad, B.; Krikorian, R. 11 2015 Multiple mixing for a class of conservative surface flows. Zbl 1358.37018Fayad, Bassam; Kanigowski, Adam 10 2016 Smooth linearization of commuting circle diffeomorphisms. Zbl 1177.37045Fayad, Bassam; Khanin, Konstantin 10 2009 Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for \(SL(2,\mathbb R )\) cocycles. Zbl 1130.37027Bochi, Jairo; Fayad, Bassam 10 2006 Polynomial decay of correlations for a class of smooth flows on the two torus. Zbl 1187.37009Fayad, Bassam 9 2001 A remark on conservative diffeomorphisms. Zbl 1097.37010Bochi, Jairo; Fayad, Bassam R.; Pujals, Enrique 8 2006 Unbounded orbits for semicircular outer billiard. Zbl 1377.37063Dolgopyat, Dmitry; Fayad, Bassam 7 2009 Deviations of ergodic sums for toral translations. I. Convex bodies. Zbl 1308.37007Dolgopyat, Dmitry; Fayad, Bassam 6 2014 Rank one and mixing differentiable flows. Zbl 1064.37006Fayad, Bassam 6 2005 Superexponential stability of quasi-periodic motion in Hamiltonian systems. Zbl 1375.37150Bounemoura, Abed; Fayad, Bassam; Niederman, Laurent 5 2017 Analytic uniquely ergodic volume preserving maps on odd spheres. Zbl 1336.37021Fayad, Bassam; Katok, Anatole 5 2014 Mixed spectrum reparameterizations of linear flows on \(\mathbb T^2\). Zbl 1123.37300Fayad, Bassam; Katok, Anatole; Windsor, Alistar 5 2001 Topologically mixing and minimal but not ergodic, analytic transformation on \(\mathbf T^5\). Zbl 0970.37007Fayad, Bassam R. 5 2000 On manifolds supporting distributionally uniquely ergodic diffeomorphisms. Zbl 1316.37015Avila, Artur; Fayad, Bassam; Kocsard, Alejandro 4 2015 KAM-tori near an analytic elliptic fixed point. Zbl 1417.37212Eliasson, L. Hakan; Fayad, Bassam; Krikorian, Raphaël 4 2013 Smooth mixing flows with purely singular spectra. Zbl 1099.37018Fayad, Bassam 4 2006 Nekhoroshev estimates for steep real-analytic elliptic equilibrium points. Zbl 1429.37031Bounemoura, Abed; Fayad, Bassam; Niederman, Laurent 3 2020 Central limit theorems for simultaneous Diophantine approximations. Zbl 1387.60046Dolgopyat, Dmitry; Fayad, Bassam; Vinogradov, Ilya 3 2017 Exponential growth of product of matrices in \(\text{SL}(2,{\mathbb{R}})\). Zbl 1142.37024Fayad, Bassam; Krikorian, Raphaël 3 2008 A dichotomy between discrete and continuous spectrum for a class of special flows over rotations. Zbl 1109.37004Fayad, Bassam; Windsor, Alistair 3 2007 On the ergodicity of cylindrical transformations given by the logarithm. Zbl 1130.37341Fayad, Bassam; Lemańczyk, Mariusz 3 2006 Rigidity times for a weakly mixing dynamical system which are not rigidity times for any irrational rotation. Zbl 1356.37008Fayad, Bassam; Kanigowski, Adam 2 2015 On the convergence to \(0\) of \(m_n \xi \mod 1\). Zbl 1310.11079Fayad, Bassam; Thouvenot, Jean-Paul 2 2014 On the ergodicity of the Weyl sums cocycle. Zbl 1153.11044Fayad, Bassam 2 2006 Nonuniform hyperbolicity and elliptic dynamics. Zbl 1147.37320Fayad, Bassam 2 2004 Skew products over translations on \({\mathbb T}^d\), \(d \geq 2\). Zbl 1142.37301Fayad, Bassam R. 2 2002 KAM tori are no more than sticky. Zbl 1447.37060Fayad, B.; Sauzin, D. 1 2020 Super-exponential stability for generic real-analytic elliptic equilibrium points. Zbl 1442.37071Bounemoura, Abed; Fayad, Bassam; Niederman, Laurent 1 2020 Isolated elliptic fixed points for smooth Hamiltonians. Zbl 1385.37076Fayad, Bassam; Saprykina, Maria 1 2017 Discrete and continuous spectra on laminations over Aubry-Mather sets. Zbl 1148.37035Fayad, Bassam 1 2008 Topologically mixing flows with pure point spectrum. Zbl 1066.37004Fayad, Bassam 1 2003 Partially mixing and locally rank 1 smooth transformations and flows on the torus \(\mathbb{T}^d, d\geq 3\). Zbl 1011.37001Fayad, Bassam R. 1 2001 Nekhoroshev estimates for steep real-analytic elliptic equilibrium points. Zbl 1429.37031Bounemoura, Abed; Fayad, Bassam; Niederman, Laurent 3 2020 KAM tori are no more than sticky. Zbl 1447.37060Fayad, B.; Sauzin, D. 1 2020 Super-exponential stability for generic real-analytic elliptic equilibrium points. Zbl 1442.37071Bounemoura, Abed; Fayad, Bassam; Niederman, Laurent 1 2020 Superexponential stability of quasi-periodic motion in Hamiltonian systems. Zbl 1375.37150Bounemoura, Abed; Fayad, Bassam; Niederman, Laurent 5 2017 Central limit theorems for simultaneous Diophantine approximations. Zbl 1387.60046Dolgopyat, Dmitry; Fayad, Bassam; Vinogradov, Ilya 3 2017 Isolated elliptic fixed points for smooth Hamiltonians. Zbl 1385.37076Fayad, Bassam; Saprykina, Maria 1 2017 Multiple mixing for a class of conservative surface flows. Zbl 1358.37018Fayad, Bassam; Kanigowski, Adam 10 2016 Around the stability of KAM tori. Zbl 1366.37126Eliasson, L. H.; Fayad, B.; Krikorian, R. 11 2015 On manifolds supporting distributionally uniquely ergodic diffeomorphisms. Zbl 1316.37015Avila, Artur; Fayad, Bassam; Kocsard, Alejandro 4 2015 Rigidity times for a weakly mixing dynamical system which are not rigidity times for any irrational rotation. Zbl 1356.37008Fayad, Bassam; Kanigowski, Adam 2 2015 Deviations of ergodic sums for toral translations. I. Convex bodies. Zbl 1308.37007Dolgopyat, Dmitry; Fayad, Bassam 6 2014 Analytic uniquely ergodic volume preserving maps on odd spheres. Zbl 1336.37021Fayad, Bassam; Katok, Anatole 5 2014 On the convergence to \(0\) of \(m_n \xi \mod 1\). Zbl 1310.11079Fayad, Bassam; Thouvenot, Jean-Paul 2 2014 KAM-tori near an analytic elliptic fixed point. Zbl 1417.37212Eliasson, L. Hakan; Fayad, Bassam; Krikorian, Raphaël 4 2013 A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies. Zbl 1277.37089Avila, Artur; Fayad, Bassam; Krikorian, Raphaël 42 2011 Rigidity results for quasiperiodic \(\mathrm{SL}(2, \mathbb R)\)-cocycles. Zbl 1191.37007Fayad, Bassam; Krikorian, Raphaël 20 2009 Herman’s last geometric theorem. Zbl 1175.37062Fayad, Bassam; Krikorian, Raphaël 20 2009 Smooth linearization of commuting circle diffeomorphisms. Zbl 1177.37045Fayad, Bassam; Khanin, Konstantin 10 2009 Unbounded orbits for semicircular outer billiard. Zbl 1377.37063Dolgopyat, Dmitry; Fayad, Bassam 7 2009 Exponential growth of product of matrices in \(\text{SL}(2,{\mathbb{R}})\). Zbl 1142.37024Fayad, Bassam; Krikorian, Raphaël 3 2008 Discrete and continuous spectra on laminations over Aubry-Mather sets. Zbl 1148.37035Fayad, Bassam 1 2008 Non-standard smooth realizations of Liouville rotations. Zbl 1127.37008Fayad, B. R.; Saprykina, M.; Windsor, A. 12 2007 A dichotomy between discrete and continuous spectrum for a class of special flows over rotations. Zbl 1109.37004Fayad, Bassam; Windsor, Alistair 3 2007 Mixing in the absence of the shrinking target property. Zbl 1194.37013Fayad, Bassam 19 2006 Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for \(SL(2,\mathbb R )\) cocycles. Zbl 1130.37027Bochi, Jairo; Fayad, Bassam 10 2006 A remark on conservative diffeomorphisms. Zbl 1097.37010Bochi, Jairo; Fayad, Bassam R.; Pujals, Enrique 8 2006 Smooth mixing flows with purely singular spectra. Zbl 1099.37018Fayad, Bassam 4 2006 On the ergodicity of cylindrical transformations given by the logarithm. Zbl 1130.37341Fayad, Bassam; Lemańczyk, Mariusz 3 2006 On the ergodicity of the Weyl sums cocycle. Zbl 1153.11044Fayad, Bassam 2 2006 Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary. Zbl 1090.37001Fayad, Bassam; Saprykina, Maria 18 2005 Rank one and mixing differentiable flows. Zbl 1064.37006Fayad, Bassam 6 2005 Constructions in elliptic dynamics. Zbl 1089.37012Fayad, Bassam; Katok, Anatole 46 2004 Nonuniform hyperbolicity and elliptic dynamics. Zbl 1147.37320Fayad, Bassam 2 2004 Topologically mixing flows with pure point spectrum. Zbl 1066.37004Fayad, Bassam 1 2003 Analytic mixing reparametrizations of irrational flows. Zbl 1136.37307Fayad, Bassam R. 18 2002 Weak mixing for reparameterized linear flows on the torus. Zbl 1001.37006Fayad, Bassam R. 14 2002 Skew products over translations on \({\mathbb T}^d\), \(d \geq 2\). Zbl 1142.37301Fayad, Bassam R. 2 2002 Polynomial decay of correlations for a class of smooth flows on the two torus. Zbl 1187.37009Fayad, Bassam 9 2001 Mixed spectrum reparameterizations of linear flows on \(\mathbb T^2\). Zbl 1123.37300Fayad, Bassam; Katok, Anatole; Windsor, Alistar 5 2001 Partially mixing and locally rank 1 smooth transformations and flows on the torus \(\mathbb{T}^d, d\geq 3\). Zbl 1011.37001Fayad, Bassam R. 1 2001 Topologically mixing and minimal but not ergodic, analytic transformation on \(\mathbf T^5\). Zbl 0970.37007Fayad, Bassam R. 5 2000 all cited Publications top 5 cited Publications all top 5 Cited by 287 Authors 16 Fayad, Bassam R. 12 Avila Cordeiro de Melo, Artur 11 You, Jiangong 10 Zhou, Qi 9 Kunde, Philipp 8 Kanigowski, Adam 7 Xu, Junxiang 6 Crovisier, Sylvain 6 Oertel-Jäger, Tobias Hendrik 6 Zhang, Dongfeng 5 Bessa, Mário 5 Bounemoura, Abed 5 Jitomirskaya, Svetlana Ya. 4 Béguin, François 4 Chaika, Jonathan 4 Dolgopyat, Dmitry 4 Frączek, Krzysztof Marek 4 Ginzburg, Viktor L’vovich 4 Gürel, Basak Zehra 4 Haro, Àlex 4 Hou, Xuanji 4 Koropecki, Andres 4 Krikorian, Raphaël 4 Lemańczyk, Mariusz 4 Ulcigrai, Corinna 4 Varandas, Paulo 4 Zhang, Zhiyuan 3 Bochi, Jairo 3 Cheng, Hongyu 3 Figueras, Jordi-Lluís 3 Hu, Huyi 3 Karaliolios, Nikolaos 3 Kim, Donghan 3 Le Calvez, Patrice 3 Le Roux, Frédéric 3 Luque, Alejandro 3 Marklof, Jens 3 Marx, Christoph A. 3 Ravotti, Davide 3 Saprykina, Maria 3 Wang, Baowei 3 Wang, Jing 3 Wilkinson, Amie 3 Xu, XinDong 3 Zhang, Pengfei 2 Bäcker, Arnd 2 Banerjee, Shilpak 2 Björklund, Michael 2 Bonatti, Christian 2 Boroński, Jan P. 2 Bramham, Barney 2 Chavaudret, Claire 2 Chen, Jianyu 2 Conze, Jean-Pierre 2 Damjanović, Danijela 2 Danilenko, Alexandre I. 2 Dávalos, Pablo 2 Forni, Giovanni 2 Fuchs, Michael 2 Galatolo, Stefano 2 Giannakis, Dimitrios 2 Gorodnik, Alexander 2 Huang, Wen 2 Johnson, Russell Allan 2 Katok, Anatole B. 2 Kocsard, Alejandro 2 Kułaga-Przymus, Joanna 2 Lopes Dias, João 2 Lu, Xuezhu 2 Massetti, Jessica Elisa 2 Meiss, James D. 2 Morris, Ian D. 2 Nerurkar, Mahesh G. 2 Niederman, Laurent 2 Oprocha, Piotr 2 Pesin, Yakov Borisovich 2 Procesi, Michela 2 Ramírez, Felipe A. 2 Rodriguez-Hertz, Federico 2 Shen, Luming 2 Si, Jianguo 2 Tiedra de Aldecoa, Rafael 2 Wang, Yiqian 2 Xavier, Juliana C. 2 Xue, Jinxin 2 Zhao, Xin 1 Adouani, Abdelhamid 1 Arbieto, Alexander 1 Arnold, Maxim 1 Athreya, Jayadev S. 1 Badea, Catalin 1 Bedrossian, Jacob 1 Benhenda, Mostapha 1 Biasco, Luca 1 Bomfim, Thiago 1 Boshernitzan, Michael D. 1 Boubel, Charles 1 Brugali, Davide 1 Bugeaud, Yann 1 Cai, Ao ...and 187 more Authors all top 5 Cited in 80 Serials 23 Ergodic Theory and Dynamical Systems 18 Communications in Mathematical Physics 11 Inventiones Mathematicae 8 Journal of Differential Equations 8 Proceedings of the American Mathematical Society 7 Advances in Mathematics 7 Discrete and Continuous Dynamical Systems 7 Regular and Chaotic Dynamics 6 Nonlinearity 6 Mathematische Zeitschrift 6 Geometric and Functional Analysis. GAFA 6 Journal of Dynamics and Differential Equations 5 Israel Journal of Mathematics 5 Journal of Mathematical Analysis and Applications 5 Duke Mathematical Journal 5 Journal of Functional Analysis 5 Mathematische Annalen 5 Annales Henri Poincaré 4 Journal d’Analyse Mathématique 4 Journal of Statistical Physics 4 Commentarii Mathematici Helvetici 4 Transactions of the American Mathematical Society 4 Journal of Modern Dynamics 3 Proceedings of the London Mathematical Society. Third Series 3 Journal of the American Mathematical Society 3 Journal of the Institute of Mathematics of Jussieu 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Publications Mathématiques 2 Indagationes Mathematicae. New Series 2 Chaos 2 Acta Mathematica Sinica. English Series 2 Qualitative Theory of Dynamical Systems 2 Dynamical Systems 2 Proceedings of the Steklov Institute of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Arnold Mathematical Journal 1 Archive for Rational Mechanics and Analysis 1 Acta Arithmetica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Compositio Mathematica 1 Fundamenta Mathematicae 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Software. Practice & Experience 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Applied and Computational Harmonic Analysis 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 Electronic Communications in Probability 1 Doklady Mathematics 1 Differential Equations and Dynamical Systems 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Advances in Geometry 1 Foundations of Computational Mathematics 1 Advanced Nonlinear Studies 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Frontiers of Mathematics in China 1 Electronic Research Announcements in Mathematical Sciences 1 Analysis & PDE 1 Science China. Mathematics 1 Journal of Spectral Theory 1 Communications in Mathematics and Statistics 1 Journal de l’École Polytechnique – Mathématiques 1 Complex Manifolds all top 5 Cited in 30 Fields 212 Dynamical systems and ergodic theory (37-XX) 34 Ordinary differential equations (34-XX) 30 Mechanics of particles and systems (70-XX) 16 Number theory (11-XX) 16 Measure and integration (28-XX) 16 Operator theory (47-XX) 13 Differential geometry (53-XX) 12 Partial differential equations (35-XX) 10 Manifolds and cell complexes (57-XX) 9 Probability theory and stochastic processes (60-XX) 8 General topology (54-XX) 8 Quantum theory (81-XX) 7 Topological groups, Lie groups (22-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year