2 papers
math.DS2026
Complete regularity of linear cocycles and the Baire category of the set of Lyapunov-Perron regular points
Jairo Bochi, Yakov Pesin, Omri Sarig
Given a continuous linear cocycle A over a homeomorphism f of a compact metric space X, we investigate its set R of Lyapunov-Perron regular points, that is, the collection of traje…
math.DS2025
Strong positive recurrence and exponential mixing for diffeomorphisms
Jérôme Buzzi, Sylvain Crovisier, Omri Sarig
We introduce the strong positive recurrence (SPR) property for diffeomorphisms on closed manifolds with arbitrary dimension, and show that it has many consequences and holds in man…