14 citations · 14 across the 6 of their papers we have counts for
7 papers
Generalized Horseshoe Maps part I: limit laws and absolute continuity of physical measure
Abbas Fakhari, Maisam Hedyehloo, Mohammad Soufi
We apply thermodynamic formalism to a generalized horseshoe map. We prove that a tailored anisotropic Banach space with weighted norms yields a spectral gap for the transfer operat…
Absolutely Continuous Invariant Measure for Generalized Horseshoe Maps
Abbas Fakhari, Maryam Khalaj
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 cont…
Singular hyperbolic attractors are statistical stable
Mohammad Fanaee, Mohammad Soufi
We prove that the unique SRB measure for a singular hyperbolic attractor depends continuously on the dynamics in the weak topology.
Hyperbolic billiards on polytopes with contracting reflection laws
Pedro Duarte, José Pedro Gaivão, Mohammad Soufi
We study billiards on polytopes in $\Rr^d$ with contracting reflection laws, i.e. non-standard reflection laws that contract the reflection angle towards the normal. We prove that…
Saturation of Generalized Partially Hyperbolic Attractors
A. Fakhari, M. Soufi
We prove the saturation of a generalized partially hyperbolic attractor of a map. As a consequence, we show that any generalized partially hyperbolic horseshoe-like attractor…
Statistical stability of Geometric Lorenz attractors
Jose F. Alves, Mohammad Soufi
We consider the robust family of Geometric Lorenz attractors. These attractors are chaotic in the sense that they are transitive and have sensitive dependence on the initial condit…
Statistical stability and limit laws for Rovella maps
Jose F. Alves, Mohammad Soufi
We consider the family of one-dimensional maps arising from the contracting Lorenz attractors studied by Rovella. Benedicks-Carleson techniques were used by Rovella to prove that t…