English

Equivariant discretizations of diffusions, random walks, and harmonic functions

Differential Geometry 2025-12-23 v3 Probability

Abstract

For covering spaces and properly discontinuous actions with compatible diffusion processes, we discuss Lyons-Sullivan discretizations of the processes and the associated function theory.

Keywords

Cite

@article{arxiv.1906.11716,
  title  = {Equivariant discretizations of diffusions, random walks, and harmonic functions},
  author = {Werner Ballmann and Panagiotis Polymerakis},
  journal= {arXiv preprint arXiv:1906.11716},
  year   = {2025}
}

Comments

32 pages. The current version deals with a gap in the original, which was pointed out to us by Anna Erschler

R2 v1 2026-06-23T10:05:34.079Z