Heat kernel and Green function estimates on affine buildings of type $\tilde{A}_r$

Simple item page
dc.creatorAnker, Jean-Philippe
dc.creatorSchapira, Bruno
dc.creatorTrojan, Bartosz
dc.date2006-12-14
dc.date.accessioned2026-07-07T07:34:51Z
dc.date.available2026-07-07T07:34:51Z
dc.descriptionWe obtain a global estimate of the transition density $p^n(0,x)$ associated to a nearest neighbor random walk, called here "simple", on affine buildings of type $\widetilde{A}_r$. Then we deduce a global estimate of the Green function. This is the analogue of a result on Riemannian symmetric spaces of the noncompact type.
dc.identifierhttps://arxiv.org/abs/math/0612385
dc.identifierhttp://arxiv.org/abs/math/0612385
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119915
dc.subjectClassical Analysis and ODEs
dc.subjectProbability
dc.subjectPrimary: 42C05; 51E24; 60B15; 60J10. Secondary: 31C12; 31C35; 33C52; 33E50; 60J45; 60J50
dc.titleHeat kernel and Green function estimates on affine buildings of type $\tilde{A}_r$
dc.typetext

Files

Collections

arXiv