Recurrent random walks on homogeneous spaces of p -adic algebraic groups of polynomial growth
Identifieur interne : 004437 ( Main/Merge ); précédent : 004436; suivant : 004438Recurrent random walks on homogeneous spaces of p -adic algebraic groups of polynomial growth
Auteurs : C. Robinson Edward Raja [Inde] ; René Schott [France]Source :
- Archiv der Mathematik [ 0003-889X ] ; 2008-10-01.
Abstract
Abstract.: Let G be a p-adic algebraic group of polynomial growth and H be a closed subgroup of G. We prove the growth conjecture for the homogeneous space G/H, that is, G/H supports a recurrent random walk if and only if G/H has polynomial growth of degree atmost two.
Url:
DOI: 10.1007/s00013-008-2663-3
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