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
SN - 0178-8051
VL - 138
SP - 157
EP - 176
JO - Probability Theory and Related Fields
JF - Probability Theory and Related Fields
IS - 1-2
ER -