5 papers
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…
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…
Non-classifiability of mixing zero-entropy diffeomorphisms up to isomorphism
Marlies Gerber, Philipp Kunde
We show that the problem of classifying, up to isomorphism, the collection of zero-entropy mixing automorphisms of a standard non-atomic probability space, is intractible. More pre…
Weak mixing behavior for the projectivized derivative extension
Shilpak Banerjee, Divya Khurana, Philipp Kunde
In both smooth and analytic categories, we construct examples of diffeomorphisms of topological entropy zero with intricate ergodic properties. On any smooth compact connected mani…
Non-classifiability of Ergodic Flows up to Time Change
Marlies Gerber, Philipp Kunde
A time change of a flow , , is a reparametrization of the orbits of the flow such that each orbit is mapped to itself by an orientation-preserving homeom…