Impatient Random Walk
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1f443661-a629-4150-b61b-4a356e24cf70
- author
- Engländer, János
and Volkov, Stanislav
LU
- organization
- publishing date
- 2019-04-16
- 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}}, }