English

Heat kernel and Green function estimates on affine buildings

Probability 2024-07-23 v3 Classical Analysis and ODEs Combinatorics

Abstract

We obtain the optimal global upper and lower bounds for the transition density pn(x,y)p_n(x,y) of a finite range isotropic random walk on affine buildings. We present also sharp estimates for the corresponding Green function.

Keywords

Cite

@article{arxiv.1310.2288,
  title  = {Heat kernel and Green function estimates on affine buildings},
  author = {Bartosz Trojan},
  journal= {arXiv preprint arXiv:1310.2288},
  year   = {2024}
}
R2 v1 2026-06-22T01:42:55.398Z