most citedVertex-reinforced random walk on Z eventually gets stuck on five points

62 citations

7 papers

math.GR2005

Moyennabilite interieure et extensions HNN

Yves Stalder

We present sufficient conditions for HNN extensions to be inner amenable, respectively ICC, which give necessary and sufficient criteria among Baumslag-Solitar groups. We deduce th…

math.KT2004

Unbounded symmetric operators in -homology and the Baum-Connes Conjecture

Hela Bettaieb, Michel Matthey, Alain Valette

Using the unbounded picture of analytical K-homology, we associate a well-defined K-homology class to an unbounded symmetric operator satisfying certain mild technical conditions.…

math.DG20042 cited

Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane

Bruno Colbois, Constantin Vernicos

We prove that the Hilbert geometry of a convex domain in the plane is Gromov hyperbolic, if, and only if, the bottom of its spectrum is not zero

math.PR200462 cited

Vertex-reinforced random walk on Z eventually gets stuck on five points

Pierre Tarres

Vertex-reinforced random walk (VRRW), defined by Pemantle in 1988, is a random process that takes values in the vertex set of a graph G, which is more likely to visit vertices it h…

cond-mat.supr-con20047 cited

Linear response theory around a localized impurity in the pseudogap regime of an anisotropic superconductor: precursor pairing vs the d-density-wave scenario

N. Andrenacci, G. G. N. Angilella, H. Beck +1

We derive the polarizability of an electron system in (i) the superconducting phase, with d-wave symmetry, (ii) the pseudogap regime, within the precursor pairing scenario, and (ii…

math.NT20047 cited

On simultaneous binary expansions of and

Giuseppe Melfi

A new family of sequences is proposed. An example of sequence of this family is more accurately studied. This sequence is composed by the integers for which the sum of binary d…