A local limit theorem for random walks on the chambers of $\tilde A_2$ buildings

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Parkinson, James; Schapira, Bruno;
  • Publisher: BirkhÃuser Verlag
  • Subject: Random walks | p-adic Lie groups. | affine buildings | harmonic analysis | [ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR] | 20E42 | Mathematics - Probability | 20E42; 60G50 | 60G50 | p-adic Lie groups | Hecke algebras | Mathematics - Representation Theory | Plancherel theorem

International audience; In this paper we outline an approach for analysing random walks on the chambers of buildings. The types of walks that we consider are those which are well adapted to the structure of the building: Namely walks with transition probabilities $p(c,d... View more
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