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Impatient Random Walk

Engländer, János and Volkov, Stanislav LU orcid (2019) In Journal of Theoretical Probability 32(4). p.2020-2043
Abstract

We introduce a new type of random walk where the definition of edge repellence/reinforcement is very different from the one in the “traditional” reinforced random walk models and investigate its basic properties, such as null versus positive recurrence, transience, as well as the speed. The two basic cases will be dubbed “impatient” and “ageing” random walks.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Ageing random walk, Impatient random walk, Passage generating function, Random walk, Recurrence, Transience
in
Journal of Theoretical Probability
volume
32
issue
4
pages
2020 - 2043
publisher
Springer
external identifiers
  • scopus:85064568934
ISSN
0894-9840
DOI
10.1007/s10959-019-00901-4
language
English
LU publication?
yes
id
1f443661-a629-4150-b61b-4a356e24cf70
date added to LUP
2019-05-07 08:50:03
date last changed
2022-04-02 08:34:05
@article{1f443661-a629-4150-b61b-4a356e24cf70,
  abstract     = {{<p>We introduce a new type of random walk where the definition of edge repellence/reinforcement is very different from the one in the “traditional” reinforced random walk models and investigate its basic properties, such as null versus positive recurrence, transience, as well as the speed. The two basic cases will be dubbed “impatient” and “ageing” random walks.</p>}},
  author       = {{Engländer, János and Volkov, Stanislav}},
  issn         = {{0894-9840}},
  keywords     = {{Ageing random walk; Impatient random walk; Passage generating function; Random walk; Recurrence; Transience}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{4}},
  pages        = {{2020--2043}},
  publisher    = {{Springer}},
  series       = {{Journal of Theoretical Probability}},
  title        = {{Impatient Random Walk}},
  url          = {{http://dx.doi.org/10.1007/s10959-019-00901-4}},
  doi          = {{10.1007/s10959-019-00901-4}},
  volume       = {{32}},
  year         = {{2019}},
}