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.DS2013
Connectedness of the set of central Lyapunov exponents
Abbas Fakhari
We show that there is a residual subset of such that for any and any partially hyperbolic homoclinic class with one dimensional…