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arXiv · 2403.17791

Local product structure for equilibrium states of geodesic flows and applications

Benjamin Call·David Constantine·Alena Erchenko·Noelle Sawyer·Grace Work
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Abstract

Let $S$ be a compact surface of genus $\geq 2$ equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than $2\pi$. We examine the geodesic flow on $S$ and prove local product structure for a wide class of equilibrium states. Using this, we establish the Bernoulli property for these systems. We also establish local product structure for a similar class of equilibrium states for geodesic flows on rank 1, nonpositively curved manifolds.

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Benjamin Call, David Constantine, Alena Erchenko, Noelle Sawyer, Grace Work. 2024-03-26. Local product structure for equilibrium states of geodesic flows and applications. https://arxiv.org/abs/2403.17791

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