TY - JOUR

T1 - A random environment for linearly edge-reinforced walks on infinite graphs

AU - Merkl, F.

AU - Rolles, S.W.W.

PY - 2007

Y1 - 2007

N2 - We consider linearly edge-reinforced random walk on an arbitrary locally finite connected graph. It is shown that the process has the same distribution as a mixture of reversible Markov chains, determined by time-independent strictly positive weights on the edges. Furthermore, we prove bounds for the random weights, uniform, among others, in the size of the graph.

AB - We consider linearly edge-reinforced random walk on an arbitrary locally finite connected graph. It is shown that the process has the same distribution as a mixture of reversible Markov chains, determined by time-independent strictly positive weights on the edges. Furthermore, we prove bounds for the random weights, uniform, among others, in the size of the graph.

U2 - 10.1007/s00440-006-0016-3

DO - 10.1007/s00440-006-0016-3

M3 - Article

VL - 138

SP - 157

EP - 176

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

SN - 0178-8051

IS - 1-2

ER -