English

Invariant measures for the actions of the modular group

Dynamical Systems 2017-06-08 v3

Abstract

In this note, we give a nature action of the modular group on the ends of the infinite (p + 1)-cayley tree, for each prime p. We show that there is a unique invariant probability measure for each p.

Keywords

Cite

@article{arxiv.1703.03086,
  title  = {Invariant measures for the actions of the modular group},
  author = {Shilei Fan and Yanqi Qiu},
  journal= {arXiv preprint arXiv:1703.03086},
  year   = {2017}
}

Comments

5pages, two figures. The result is a corollary of a classic result