2 papers
math.DS2021
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…
math.DS2020
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.