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math.DS2023
A characterization of Anosov rational forms in nilpotent Lie algebras associated to graphs
Jonas Deré, Thomas Witdouck
Anosov diffeomorphisms are an important class of dynamical systems with many peculiar properties. Ever since they were introduced in the sixties, it has been an open question which…
math.DS2022
Classification of -forms in nilpotent Lie algebras associated to graphs
Jonas Deré, Thomas Witdouck
Given a simple undirected graph, one can construct from it a -step nilpotent Lie algebra for every and over any field , in particular also over the real and comple…
math.DS2021
On closed manifolds admitting an Anosov diffeomorphism but no expanding map
Jonas Deré, Thomas Witdouck
A few years ago, the first example of a closed manifold admitting an Anosov diffeomorphism but no expanding map was given. Unfortunately, this example is not explicit and is high-d…