Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Generalizations of forest fires with ignition at the origin

Comets, Francis ; Menshikov, Mikhail and Volkov, Stanislav LU orcid (2023) In Journal of Applied Probability 60(2). p.418-434
Abstract

We study generalizations of the forest fire model introduced in [4] and [10] by allowing the rates at which the trees grow to depend on their location, introducing long-range burning, as well as a continuous-space generalization of the model. We establish that in all the models in consideration the expected time required to reach a site at distance x from the origin is of order for any 0$ ]]>.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Forest fire model, long-range interactions, self-organized criticality, time-dependent percolation
in
Journal of Applied Probability
volume
60
issue
2
pages
17 pages
publisher
Applied Probability Trust
external identifiers
  • scopus:85159319509
ISSN
0021-9002
DOI
10.1017/jpr.2022.51
language
English
LU publication?
yes
id
7ffcf1c2-d5b1-400d-a64b-823e886132cd
date added to LUP
2023-08-14 15:06:16
date last changed
2023-08-14 15:06:16
@article{7ffcf1c2-d5b1-400d-a64b-823e886132cd,
  abstract     = {{<p>We study generalizations of the forest fire model introduced in [4] and [10] by allowing the rates at which the trees grow to depend on their location, introducing long-range burning, as well as a continuous-space generalization of the model. We establish that in all the models in consideration the expected time required to reach a site at distance x from the origin is of order for any 0$ ]]&gt;.</p>}},
  author       = {{Comets, Francis and Menshikov, Mikhail and Volkov, Stanislav}},
  issn         = {{0021-9002}},
  keywords     = {{Forest fire model; long-range interactions; self-organized criticality; time-dependent percolation}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{418--434}},
  publisher    = {{Applied Probability Trust}},
  series       = {{Journal of Applied Probability}},
  title        = {{Generalizations of forest fires with ignition at the origin}},
  url          = {{http://dx.doi.org/10.1017/jpr.2022.51}},
  doi          = {{10.1017/jpr.2022.51}},
  volume       = {{60}},
  year         = {{2023}},
}