4 citations · 7 across the 7 of their papers we have counts for
8 papers
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…
Non-Classifiability of Kolmogorov Diffeomorphisms up to Isomorphism
Marlies Gerber, Philipp Kunde
We consider the problem of classifying Kolmogorov automorphisms (or -automorphisms for brevity) up to isomorphism. Within the collection of measure-preserving transformations, B…
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…
Loosely Bernoulli Odometer-Based Systems Whose Corresponding Circular Systems Are Not Loosely Bernoulli
Marlies Gerber, Philipp Kunde
M. Foreman and B. Weiss obtained an anti-classification result for smooth ergodic diffeomorphisms, up to measure isomorphism, by using a functor mapping odometer-base…
A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli
Marlies Gerber, Philipp Kunde
Let be a smooth compact connected manifold of dimension , possibly with boundary, that admits a smooth effective -action $\mathcal{S}=\left\{S_{α,β}\righ…
Generic Absence of Finite Blocking for Interior Points of Birkhoff Billiards
Thomas Dauer, Marlies Gerber
Let x and y be points in a billiard table M that is bounded by a curve sigma. We assume that sigma is a simple closed C^r curve with positive curvature, where r is at least 2. A su…
Real Analytic Metrics on S^2 with Total Absence of Finite Blocking
Marlies Gerber, Lihuei Liu
If (M,g) is a Riemannian manifold and x,y are points in M, then a subset P of M\{x,y} is said to be a blocking set for (x,y) if every geodesic from x to y passes through a point of…
A dense G-delta set of Riemannian metrics without the finite blocking property
Marlies Gerber, Wah-Kwan Ku
A pair of points (x,y) in a Riemannian manifold (M,g) is said to have the finite blocking property if there is a finite set P contained in M\{x,y} such that every geodesic segment…