Zobrazeno 1 - 10
of 165
pro vyhledávání: '"Fayad, Bassam"'
We show that every ergodic dynamical system induces a system with pure Lebesgue spectrum of infinite multiplicity.
Externí odkaz:
http://arxiv.org/abs/2409.00396
We consider two interacting particles on the circle. The particles are subject to stochastic forcing, which is modeled by white noise. In addition, one of the particles is subject to friction, which models energy dissipation due to the interaction wi
Externí odkaz:
http://arxiv.org/abs/2312.01207
We construct a smooth area preserving flow on a genus 2 surface with exactly one open uniquely ergodic component, that is asymmetrically bounded by separatrices of non-degenerate saddles and that is nevertheless not mixing.
Comment: 50 pages, 4
Comment: 50 pages, 4
Externí odkaz:
http://arxiv.org/abs/2308.01247
Autor:
Argentieri, Fernando, Fayad, Bassam
We prove rotations-reducibility for close to constant quasi-periodic $SL(2,\mathbb{R})$ cocycles in one frequency in the finite regularity and smooth cases, and derive some applications to quasi-periodic Schr\"odinger operators.
Externí odkaz:
http://arxiv.org/abs/2305.16977
We show the following dichotomy for a linear parabolic $\mathbb Z^2$-action $\rho_L$ on the torus with at least one step-2 generator: (i) Any affine $\mathbb Z^2$-action with linear part $\rho_L$ has a $\mathbb Z$-factor that is either identity or ge
Externí odkaz:
http://arxiv.org/abs/2303.04367
We construct conservative analytic flows of zero metric entropy which satisfy the classical central limit theorem.
Externí odkaz:
http://arxiv.org/abs/2210.10121
We give an example of a real analytic reparametrization of a minimal translation flow on $\mathbb{T}^{5}$ that has a Lebesgue spectrum with infinite multiplicity.
Externí odkaz:
http://arxiv.org/abs/2208.10571
Autor:
Fayad, Bassam, Saprykina, Maria
We present examples of nearly integrable analytic Hamiltonian systems with several strong diffusion properties: topological weak mixing and diffusion at all times. These examples are obtained by AbC constructions with several frequencies.
Externí odkaz:
http://arxiv.org/abs/2104.05640
Autor:
Fayad, Bassam, Saprykina, Maria
Any $C^d$ conservative map $f$ of the $d$-dimensional unit ball $\mathbb B^d$ can be realized by renormalized iteration of a $C^d$ perturbation of identity: there exists a conservative diffeomorphism of $\mathbb B^d$, arbitrarily close to identity in
Externí odkaz:
http://arxiv.org/abs/2103.15530
A classical Borel Cantelli Lemma gives conditions for deciding whether an infinite number of rare events will almost surely happen. In this article, we propose an extension of Borel Cantelli Lemma to characterize the multiple occurrence of events on
Externí odkaz:
http://arxiv.org/abs/2103.08382