Visiting time statistics

Maxim Kirsebom, Philipp Kunde, Tomas Persson

Many mixing dynamical systems $(X,T,\mu )$ are known to satisfy the hitting time statistics result \[ \lim_{r \to 0} μ\{\, x : τ_{B(y,r)} (x) > t/μ(B(y,r))\,\} = e^{-t}, \] for $\mu$-al…