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Positive harmonic functions of transformed random walks

Probability 2019-08-09 v3 Group Theory

Abstract

In this paper, we will study the behavior of the space of positive harmonic functions associated with the random walk on a discrete group under the change of probability measure by a randomized stopping time. We show that this space remains unchanged after applying a bounded randomized stopping time.

Keywords

Cite

@article{arxiv.1610.04573,
  title  = {Positive harmonic functions of transformed random walks},
  author = {Behrang Forghani and Keivan Mallahi-Karai},
  journal= {arXiv preprint arXiv:1610.04573},
  year   = {2019}
}

Comments

Major revision

R2 v1 2026-06-22T16:21:16.976Z