BF
Bassam Fayad
math.DSmath.NTmath.PRmath.SPmath.MPmath-phmath.DGmath.OC
On Valency
published · living versionsW_satsxvjk·v1 · currentpublished
Long-time stochasticity for periodic iterations of random surface maps
with Dmitry Dolgopyat, Alexey Okunev
1 version
Preprints & journals
46 papers in the corpus · 2004–2026On the density of Lyapunov unstable elliptic equilibria2609.03722v1 · Bassam Fayad, Jaime Paradela, Maria Saprykina et al.2026 · 0 citationsarXiv
Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori2605.15928v1 · Dmitry Dolgopyat, Bassam Fayad, Jaime Paradela2026 · 0 citationsarXiv
Inducing countable Lebesgue spectrum2409.00396v1 · Fatna Abdedou, Bassam Fayad, Jean-Paul Thouvenot2024 · 0 citationsarXiv
Energy growth for systems of coupled oscillators with partial damping2312.01207v2 · Dmitry Dolgopyat, Bassam Fayad, Leonid Koralov et al.2023 · 1 citationarXiv
A non-mixing Arnold flow on a surface2308.01247v1 · Bassam Fayad, Adam Kanigowski, Rigoberto Zelada2023 · 0 citationsarXiv
Reducibility without KAM2305.16977v1 · Fernando Argentieri, Bassam Fayad2023 · 0 citationsarXiv
KAM-rigidity for parabolic affine abelian actions2303.04367v2 · Danijela Damjanovic, Bassam Fayad, Maria Saprykina2023 · 1 citationarXiv
Smooth zero entropy flows satisfying the classical central limit theorem2210.10121v1 · Dmitry Dolgopyat, Bassam Fayad, Adam Kanigowski2022 · 1 citationarXiv
Analytic reparametrizations of translation toral flows with countable Lebesgue spectrum2208.10571v1 · Fatna Abdedou, Bassam Fayad, Arezki Kessi2022 · 0 citationsarXiv
Topological weak mixing and diffusion at all times for a class of Hamiltonian systems2104.05640v1 · Bassam Fayad, Maria Saprykina2021 · 0 citationsarXiv
Realizing arbitrary -dimensional dynamics by renormalization of -perturbations of identity2103.15530v1 · Bassam Fayad, Maria Saprykina2021 · 1 citationarXiv
Multiple Borel Cantelli Lemma in dynamics and MultiLog law for recurrence2103.08382v1 · Dmitry Dolgopyat, Bassam Fayad, Sixu Liu2021 · 12 citationsarXiv
Limit theorems for toral translations2006.11748v1 · Dmitry Dolgopyat, Bassam Fayad2020 · 28 citationsarXiv
Intertemporal Price Discrimination with Time-Varying Valuations2002.05970v1 · Araman Victor, Fayad Bassam2020 · 0 citationsarXiv
Instabilities for analytic quasi-periodic invariant tori1912.01575v2 · Gerard Farr'e, Bassam Fayad2019 · 5 citationsarXiv
Non-differentiable irrational curves for twist map1909.13556v1 · Artur Avila, Bassam Fayad2019 · 0 citationsarXiv
Erratic behavior for 1-dimensional random walks in a Liouville quasi-periodic environment1901.10709v2 · Dmitry Dolgopyat, Bassam Fayad, Maria Saprykina2019 · 4 citationsarXiv
KAM tori are no more than sticky1812.04163v1 · Bassam Fayad, David Sauzin2018 · 7 citationsarXiv
Jean-Christophe Yoccoz and the theory of circle diffeomorphisms1810.07107v1 · Hakan Eliasson, Bassam Fayad, Raphael Krikorian2018 · 4 citationsarXiv
Some questions around quasi-periodic dynamics1809.10375v1 · Bassam Fayad, Raphael Krikorian2018 · 16 citationsarXiv
Lyapunov unstable elliptic equilibria1809.09059v3 · Bassam Fayad2018 · 24 citationsarXiv
Attracted by an elliptic fixed point1712.03001v2 · Bassam Fayad (IMJ-PRG), Jean-Pierre Marco (UPMC), David Sauzin (IMCCE) et al.2017 · 4 citationsarXiv
An effective version of Katok's horseshoe theorem for conservative surface diffeomorphisms1703.06254v1 · Bassam Fayad, Zhiyuan Zhang2017 · 2 citationsarXiv
Continuous spectrum for a class of smooth mixing Schrödinger operators1610.02462v1 · Bassam Fayad, Yanhui Qu2016 · 3 citationsErgod. Th. Dynam. Sys. 39 (2019) 357-369
Lebesgue spectrum of countable multiplicity for conservative flows on the torus1609.03757v2 · Bassam Fayad, Giovanni Forni, Adam Kanigowski2016 · 19 citationsarXiv
Central limit theorems for simultaneous Diophantine approximations1605.00311v1 · Dmitry Dolgopyat, Bassam Fayad, Ilya Vinogradov2016 · 16 citationsarXiv
Isolated elliptic fixed points for smooth Hamiltonians1602.02659v2 · Bassam Fayad, Maria Saprykina2016 · 3 citationsarXiv
Double exponential stability of quasi-periodic motion in Hamiltonian systems1601.01783v1 · Abed Bounemoura (CEREMADE), Bassam Fayad (IMJ-PRG), Laurent Niederman (LM-Orsay et al.2016 · 19 citationsarXiv
On mixing diffeomorphisms of the disk1509.06906v1 · A. Avila, B. Fayad, P. Le Calvez et al.2015 · 7 citationsarXiv
Double exponential stability for generic real-analytic elliptic equilibrium points1509.00285v1 · Abed Bounemoura (CEREMADE), Bassam Fayad (IMJ-PRG), Laurent Niederman (IMCCE et al.2015 · 11 citationsarXiv
Multiple mixing for a class of conservative surface flows1409.1054v1 · Bassam Fayad, Adam Kanigowski2014 · 37 citationsarXiv
Rigidity times for weakly mixing dynamical system which are not rigidity times for any irrational rotation1406.7518v1 · Bassam Fayad, Adam Kanigowski2014 · 0 citationsarXiv
KAM-tori near an analytic elliptic fixed point1401.5748v1 · H. Eliasson, B. Fayad, R. Krikorian2014 · 20 citationsarXiv
On the convergence to of $m_n \xi $ mod 1312.2510v1 · Bassam Fayad, Jean-Paul Thouvenot2013 · 1 citationarXiv
Around the stability of KAM-tori1311.7334v1 · Hakan Eliasson, Bassam Fayad, Raphael Krikorian2013 · 40 citationsDuke Math. J. 164, no. 9 (2015), 1733-1775
Analytic uniquely ergodic volume preserving maps on odd spheres1309.3137v1 · Bassam Fayad, Anatole Katok2013 · 12 citationsarXiv
KAM rigidity for partially hyperbolic affine Z^k actions on the torus with a rank one factor1308.3546v1 · Danijela Damjanovic, Bassam Fayad2013 · 1 citationarXiv
Deviations of ergodic sums for toral translations II. Boxes1211.4323v3 · Dmitry Dolgopyat, Bassam Fayad2012 · 12 citationsarXiv
On manifolds supporting distributionally uniquely ergodic diffeomorphisms1211.1519v1 · Artur Avila, Bassam Fayad, Alejandro Kocsard2012 · 8 citationsarXiv
Deviations of Ergodic sums for Toral Translations I : Convex bodies1206.4853v2 · Dmitry Dolgopyat, Bassam Fayad2012 · 15 citationsarXiv
A KAM scheme for SL(2,R) cocycles with Liouvillean frequencies1001.2878v1 · Artur Avila, Bassam Fayad, Raphael Krikorian2010 · 7 citationsarXiv
Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for SL(2,R) cocyclesmath/0510232v2 · Jairo Bochi, Bassam Fayad2005 · 22 citationsBulletin of the Brazilian Mathematical Society, 37, no. 3 (2006), 307-349
On the ergodicity of the Weyl sums cocyclemath/0509625v2 · Bassam Fayad2005 · 3 citationsarXiv
On the ergodicity of cylindrical transformations given by the logarithmmath/0509626v1 · Bassam Fayad, Mariusz Lema'nczyk2005 · 10 citationsarXiv
Rank one and mixing differentiable flowsmath/0412175v1 · Bassam Fayad2004 · 19 citationsarXiv
A remark on conservative diffeomorphismsmath/0408344v2 · Jairo Bochi, Bassam Fayad, Enrique Pujals2004 · 18 citationsComptes Rendus Acad. Sci. Paris, Ser. I 342 (2006), 763-766
Career total: 109 works. 46 are in this corpus.
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