@inproceedings{788f2d7a086a41179bba8e05b8f923ac,

title = "A Monotonicity Property for Once Reinforced Biased Random Walk on Zd",

abstract = "We study once-reinforced biased random walk on Zd. We prove that for sufficiently large bias, the speed v(β) is monotone decreasing in the reinforcement parameter β in the region [0,β0], where β0 is a small parameter depending on the underlying bias. This result is analogous to results on Galton–Watson trees obtained by Collevecchio and the authors.",

keywords = "Coupling, Large bias, Once-reinforced random walk, Reinforced random walk",

author = "Mark Holmes and Daniel Kious",

year = "2019",

month = oct,

day = "18",

doi = "10.1007/978-981-15-0302-3_10",

language = "English",

isbn = "9789811503016",

volume = "300",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer Nature",

pages = "255--273",

editor = "Vladas Sidoravicius",

booktitle = "Sojourns in Probability Theory and Statistical Physics - III",

address = "USA United States",

note = "International Conference on Probability Theory and Statistical Physics, 2016 ; Conference date: 25-03-2016 Through 27-03-2016",

}