Transience/recurrence and the speed of a one-dimensional random walk in a “have your cookie and eat it” environment

Pinsky, Ross G.. "Transience/recurrence and the speed of a one-dimensional random walk in a “have your cookie and eat it” environment." Annales de l'I.H.P. Probabilités et statistiques 46.4 (2010): 949-964. <http://eudml.org/doc/240155>.

@article{Pinsky2010,
abstract = {Consider a variant of the simple random walk on the integers, with the following transition mechanism. At each site x, the probability of jumping to the right is ω(x)∈[½, 1), until the first time the process jumps to the left from site x, from which time onward the probability of jumping to the right is ½. We investigate the transience/recurrence properties of this process in both deterministic and stationary, ergodic environments \{ω(x)\}x∈Z. In deterministic environments, we also study the speed of the process.},
author = {Pinsky, Ross G.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {excited random walk; cookies; transience; recurrence; ballistic},
language = {eng},
number = {4},
pages = {949-964},
publisher = {Gauthier-Villars},
title = {Transience/recurrence and the speed of a one-dimensional random walk in a “have your cookie and eat it” environment},
url = {http://eudml.org/doc/240155},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Pinsky, Ross G.
TI - Transience/recurrence and the speed of a one-dimensional random walk in a “have your cookie and eat it” environment
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2010
PB - Gauthier-Villars
VL - 46
IS - 4
SP - 949
EP - 964
AB - Consider a variant of the simple random walk on the integers, with the following transition mechanism. At each site x, the probability of jumping to the right is ω(x)∈[½, 1), until the first time the process jumps to the left from site x, from which time onward the probability of jumping to the right is ½. We investigate the transience/recurrence properties of this process in both deterministic and stationary, ergodic environments {ω(x)}x∈Z. In deterministic environments, we also study the speed of the process.
LA - eng
KW - excited random walk; cookies; transience; recurrence; ballistic
UR - http://eudml.org/doc/240155
ER -