15 citations · 37 across the 20 of their papers we have counts for
23 papers
The conjugacy and flip conjugacy problem for Cantor minimal systems
Konrad Deka, Kosma Kasprzak, Philipp Kunde +2
We prove that topological conjugacy and flip conjugacy of minimal homeomorphisms of a Cantor space are complete analytic relations and hence are not Borel. We also prove that mutua…
Visiting time statistics
Maxim Kirsebom, Philipp Kunde, Tomas Persson
Many mixing dynamical systems are known to satisfy the hitting time statistics result \[ \lim_{r \to 0} μ\{\, x : τ_{B(y,r)} (x) > t/μ(B(y,r))\,\} = e^{-t}, \] for -al…
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…
A Koopman-Takens theorem: Linear least squares prediction of nonlinear time series
Péter Koltai, Philipp Kunde
The least squares linear filter, also called the Wiener filter, is a popular tool to predict the next element(s) of time series by linear combination of time-delayed observations.…