arXiv:2204.08197 Abstract | arXiv Analytics

arXiv:2204.08197 [math.DS]Abstract References Reviews Resources

Groups, drift and harmonic measures

Published 2022-04-18Version 1

In this short note we will describe an old problem and a new approach which casts light upon it. The old problem is to understand the nature of harmonic measures for cocompact Fuchsian groups. The new approach is to compute numerically the value of the drift and, in particular, get new results on the dimension of the measure in some new examples.

Comments: 10 pages, 4 figures, 1 table

Categories: math.DS, math.PR

Subjects: 37C30, 60G50, 20F67

Keywords: harmonic measures, old problem, cocompact fuchsian groups, casts light, short note

Related articles: Most relevant | Search more

arXiv:math/0611235 [math.DS] (Published 2006-11-08, updated 2007-10-11)

A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces

Yuri Bakhtin, Matilde Martinez

arXiv:2202.03075 [math.DS] (Published 2022-02-07)

A short note on the orbit growth of sofic shifts

Azmeer Nordin, Mohd Salmi Md Noorani

arXiv:1507.08679 [math.DS] (Published 2015-07-30)