1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2024
Natural measures and statistical properties of non-statistical maps with multiple neutral fixed points
Douglas Coates, Ian Melbourne, Amin Talebi
In this article we show that a large class of infinite measure preserving dynamical systems that do not admit physical measures nevertheless exhibit strong statistical properties.…
math.DS2020
Non-statistical behavior via Statistical instability: Non-statistical Anosov-Katok diffeomorphisms
Amin Talebi
\textit{Non-statistical dynamics} are those for which a set of points with positive measure (w.r.t. a reference probability measure which is in most examples the Lebesgue on a mani…
math.DS2020★ 1 cited
Non-statistical rational maps
Amin Talebi
We show that in the family of degree rational maps of the Riemann sphere, the closure of strictly postcritically finite maps contains a (relatively) Baire generic subset…