Philipp Kunde

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20142023

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math.DS2023

Non-Classifiability of Kolmogorov Diffeomorphisms up to Isomorphism

Marlies Gerber, Philipp Kunde

We consider the problem of classifying Kolmogorov automorphisms (or $K$ -automorphisms for brevity) up to isomorphism. Within the collection of measure-preserving transformations, B…

math.DS2022

There is no complete numerical invariant for smooth conjugacy of circle diffeomorphisms

Philipp Kunde

Classical results by Poincaré and Denjoy show that two orientation-preserving $C^{2}$ diffeomorphisms of the circle are topologically conjugate if and only if they have the same rota…

math.DS2014

Uniform rigidity sequences for weak mixing diffeomorphisms on $T^{2}$

Philipp Kunde

In this paper we will show that if a sequence of natural numbers satisfies a certain growth rate, then there is a weak mixing diffeomorphism on $T^{2}$ that is uniformly rig…

Non-Classifiability of Kolmogorov Diffeomorphisms up to Isomorphism

There is no complete numerical invariant for smooth conjugacy of circle diffeomorphisms

Uniform rigidity sequences for weak mixing diffeomorphisms on T2

Uniform rigidity sequences for weak mixing diffeomorphisms on $T^{2}$