Expected depth of random walks on groups

In this paragraph, we prove the first item of Theorem 1.3: in a hyperbolic group, a symmetric admissible measure µ with superexponential tails and finite Green function satisfies

In the case of finitely generated groups, where this result is known (Benjamini & Peres [3]), we give an alternative proof relying on a version of the so-called

(3.1) In [12],special attention is given to the case when the µ i are symmetric power laws.. The following statement is a special case of [12,Theorem 5.7]. It provides a key

In particular, the nilpotent kernel of a polycyclic group with polynomial volume growth has upper polynomial distortion, and all simple symmetric random walks on such groups have

– The Green’s function GR x, y of a symmetric, irreducible, finite-range random walk on a co-compact Fuchsian group Γ, evaluated at its radius of convergence R, decays exponentially

This corollary establishes the existence of non-isomorphic finitely generated nilpotent groups of class two with the same finite images.. 1 Support from the

L’accès aux archives de la revue « Rendiconti del Seminario Matematico della Università di Padova » ( http://rendiconti.math.unipd.it/ ) implique l’accord avec les

Complex reflection groups in representations of finite reductive groups. Michel