English

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

Dynamical Systems 2020-12-01 v1

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.

Keywords

Cite

@article{arxiv.2011.14098,
  title  = {Symbolic dynamics and transfer operators for Weyl chamber flows: a class of examples},
  author = {Anke Pohl},
  journal= {arXiv preprint arXiv:2011.14098},
  year   = {2020}
}

Comments

22 pages