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Article Dans Une Revue Indagationes Mathematicae Année : 2024

Sharp estimates for distinguished random walks on affine buildings of type Ar

Résumé

We study a distinguished random walk on affine buildings of type Ar , which was already considered by Cartwright, Saloff-Coste and Woess. In rank r=2, it is the simple random walk and we obtain optimal global bounds for its transition density (same upper and lower bound, up to multiplicative constants). In the higher rank case, we obtain sharp uniform bounds in fairly large space-time regions which are sufficient for most applications.
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Dates et versions

hal-04319459 , version 1 (02-12-2023)

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Jean-Philippe Anker, Bruno Schapira, Bartosz Trojan. Sharp estimates for distinguished random walks on affine buildings of type Ar. Indagationes Mathematicae, In press, ⟨10.1016/j.indag.2024.06.002⟩. ⟨hal-04319459⟩
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