Ioffe, Dmitry, and Velenik, Yvan. "Random Walks in Attractive Potentials: The Case of Critical Drifts." Actes des rencontres du CIRM 2.1 (2010): 11-13. <http://eudml.org/doc/115842>.
@article{Ioffe2010,
abstract = {We consider random walks in attractive potentials - sub-additive functions of their local times. An application of a drift to such random walks leads to a phase transition: If the drift is small than the walk is still sub-ballistic, whereas the walk is ballistic if the drift is strong enough. The set of sub-critical drifts is convex with non-empty interior and can be described in terms of Lyapunov exponents (Sznitman, Zerner ). Recently it was shown that super-critical drifts lead to a limiting speed. We shall explain that in dimensions $d\ge 2$ the transition is always of the first order. (Joint work with Y.Velenik)},
affiliation = {Technion and Université de Genève; Technion and Université de Genève},
author = {Ioffe, Dmitry, Velenik, Yvan},
journal = {Actes des rencontres du CIRM},
keywords = {self-attractive polymer; ballisticity; random walk; phase transition},
language = {eng},
month = {12},
number = {1},
pages = {11-13},
publisher = {CIRM},
title = {Random Walks in Attractive Potentials: The Case of Critical Drifts},
url = {http://eudml.org/doc/115842},
volume = {2},
year = {2010},
}
TY - JOUR
AU - Ioffe, Dmitry
AU - Velenik, Yvan
TI - Random Walks in Attractive Potentials: The Case of Critical Drifts
JO - Actes des rencontres du CIRM
DA - 2010/12//
PB - CIRM
VL - 2
IS - 1
SP - 11
EP - 13
AB - We consider random walks in attractive potentials - sub-additive functions of their local times. An application of a drift to such random walks leads to a phase transition: If the drift is small than the walk is still sub-ballistic, whereas the walk is ballistic if the drift is strong enough. The set of sub-critical drifts is convex with non-empty interior and can be described in terms of Lyapunov exponents (Sznitman, Zerner ). Recently it was shown that super-critical drifts lead to a limiting speed. We shall explain that in dimensions $d\ge 2$ the transition is always of the first order. (Joint work with Y.Velenik)
LA - eng
KW - self-attractive polymer; ballisticity; random walk; phase transition
UR - http://eudml.org/doc/115842
ER -
