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pro vyhledávání: '"Fakhari, Abbas"'
Autor:
Fakhari, Abbas, Homburg, Ale Jan
We construct various novel and elementary examples of dynamics with metric attractors that have intermingled basins. A main ingredient is the introduction of random walks along orbits of a given dynamical system. We develop theory for it and use it i
Externí odkaz:
http://arxiv.org/abs/2408.00339
In this paper we study stable ergodicity of the action of groups of diffeomorphisms on smooth manifolds. The existence of such actions is known only on one dimensional manifolds. The aim of this paper is to introduce a geometric method to overcome th
Externí odkaz:
http://arxiv.org/abs/2102.09259
Autor:
Fakhari, Abbas, Khalaj, Maryam
In this paper, we study the SRB measures of generalized horseshoe map. We prove that under the conditions of transversality and fatness, the SRB measure is actually absolutely continuous with respect to the Lebesgue measure.
Externí odkaz:
http://arxiv.org/abs/2102.03737
Akademický článek
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Akademický článek
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Autor:
Barrientos, Pablo G., Fakhari, Abbas
We study the ergodicity of non-autonomous discrete dynamical systems with non-uniform expansion. As an application we get that any uniformly expanding finitely generated semigroup action of $C^{1+\alpha}$ local diffeomorphisms of a compact manifold i
Externí odkaz:
http://arxiv.org/abs/1811.08922
Publikováno v:
In Journal of Computational Physics 1 May 2021 432
Autor:
Zhao, Benzhong, MacMinn, Christopher W., Primkulov, Bauyrzhan K., Chen, Yu, Valocchi, Albert J., Zhao, Jianlin, Kang, Qinjun, Bruning, Kelsey, McClure, James E., Miller, Cass T., Fakhari, Abbas, Bolster, Diogo, Hiller, Thomas, Brinkmann, Martin, Cueto-Felgueroso, Luis, Cogswell, Daniel A., Verma, Rahul, Prodanovic, Maša, Maes, Julien, Geiger, Sebastian, Vassvik, Morten, Hansen, Alex, Segre, Enrico, Holtzman, Ran, Yang, Zhibing, Yuan, Chao, Chareyre, Bruno, Juanes, Ruben
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2019 Jul 01. 116(28), 13799-13806.
Externí odkaz:
https://www.jstor.org/stable/26760950
Publikováno v:
Stochastics and Dynamics, Volume 17, Issue 04, August 2017, 1750031--1750051
We prove that every expanding minimal semigroup action of $C^1$ diffeomorphisms of a compact manifold (resp. $C^{1+\alpha}$ conformal) is robustly minimal (resp. ergodic with respect to Lebesgue measure). We also show how, locally, a blending region
Externí odkaz:
http://arxiv.org/abs/1307.6054
Autor:
Fakhari, Abbas
We show that there is a residual subset $\mathcal{R}$ of $Diff^1(M)$ such that for any $f\in\mathcal{R}$ and any partially hyperbolic homoclinic class $H(p,f)$ with one dimensional center direction, the set of central Lyapunov exponents associated wi
Externí odkaz:
http://arxiv.org/abs/1304.5425