Symbolic dynamics and transfer operators for Weyl chamber flows: a class of examples

Anke Pohl

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arXiv · 2011.14098

Symbolic dynamics and transfer operators for Weyl chamber flows: a class of examples

Anke Pohl

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Abstract

We provide special cross sections for the Weyl chamber flow on a sample class of Riemannian locally symmetric spaces of higher rank, namely the direct product spaces of Schottky surfaces. We further present multi-parameter transfer operator families for the discrete dynamical systems on Furstenberg boundary that are related to these cross sections.

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Anke Pohl. 2020-11-28. Symbolic dynamics and transfer operators for Weyl chamber flows: a class of examples. https://arxiv.org/abs/2011.14098

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