Asymptotic behavior of heat kernels and Green functions on affine buildings

  • Bartosz Trojan

    Polish Academy of Sciences, Warszawa, Poland; Politechnika Wrocławska, Poland
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Abstract

We compute asymptotic formulas for the transition densities of finite range isotropic random walks on affine buildings. We also describe the asymptotic behavior of the corresponding Green functions.

Cite this article

Bartosz Trojan, Asymptotic behavior of heat kernels and Green functions on affine buildings. J. Eur. Math. Soc. 27 (2025), no. 11, pp. 4649–4703

DOI 10.4171/JEMS/1524