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Multicolor particle systems with large threshold and range

Publication ,  Journal Article
Durrett, R
Published in: Journal of Theoretical Probability
January 1, 1992

In this paper we consider the Greenberg-Hastings and cyclic color models. These models exhibit (at least) three different types of behavior. Depending on the number of colors and the size of two parameters called the threshold and range, the Greenberg-Hastings model either dies out, or has equilibria that consist of "debris" or "fire fronts". The phase diagram for the cyclic color models is more complicated. The main result of this paper, Theorem 1, proves that the debris phase exists for both systems. © 1992 Plenum Publishing Corporation.

Duke Scholars

Published In

Journal of Theoretical Probability

DOI

EISSN

1572-9230

ISSN

0894-9840

Publication Date

January 1, 1992

Volume

5

Issue

1

Start / End Page

127 / 152

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4904 Pure mathematics
  • 0104 Statistics
  • 0101 Pure Mathematics
 

Citation

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MLA
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Durrett, R. (1992). Multicolor particle systems with large threshold and range. Journal of Theoretical Probability, 5(1), 127–152. https://doi.org/10.1007/BF01046781
Durrett, R. “Multicolor particle systems with large threshold and range.” Journal of Theoretical Probability 5, no. 1 (January 1, 1992): 127–52. https://doi.org/10.1007/BF01046781.
Durrett R. Multicolor particle systems with large threshold and range. Journal of Theoretical Probability. 1992 Jan 1;5(1):127–52.
Durrett, R. “Multicolor particle systems with large threshold and range.” Journal of Theoretical Probability, vol. 5, no. 1, Jan. 1992, pp. 127–52. Scopus, doi:10.1007/BF01046781.
Durrett R. Multicolor particle systems with large threshold and range. Journal of Theoretical Probability. 1992 Jan 1;5(1):127–152.
Journal cover image

Published In

Journal of Theoretical Probability

DOI

EISSN

1572-9230

ISSN

0894-9840

Publication Date

January 1, 1992

Volume

5

Issue

1

Start / End Page

127 / 152

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4904 Pure mathematics
  • 0104 Statistics
  • 0101 Pure Mathematics