2 papers
math.DS2026
Visiting time statistics
Maxim Kirsebom, Philipp Kunde, Tomas Persson
Many mixing dynamical systems are known to satisfy the hitting time statistics result \[ \lim_{r \to 0} μ\{\, x : Ï_{B(y,r)} (x) > t/μ(B(y,r))\,\} = e^{-t}, \] for $Î…
math.DS2025
Almost sure orbits closeness
Maxim Kirsebom, Philipp Kunde, Tomas Persson +1
We consider the minimal distance between orbits of measure preserving dynamical systems. In the spirit of dynamical shrinking target problems we identify distance rates for which a…