Hostname: page-component-7479d7b7d-m9pkr Total loading time: 0 Render date: 2024-07-11T04:07:03.775Z Has data issue: false hasContentIssue false
  • English
  • Français

On a class of branching processes on a lattice with interactions

Published online by Cambridge University Press:  01 July 2016

Klaus Schürger
Klaus Schürger*
Affiliation:
(German Cancer Research Center, Heidelberg)
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Conference on Models of Biological Growth and Spread, Mathematical Theories and Applications, Heidelberg, Federal Republic of Germany, 16–21 July 1979
Information
Advances in Applied Probability , Volume 12 , Issue 3 , September 1980 , pp. 556 - 557
Copyright
Copyright © Applied Probability Trust 1980 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Eden, M. (1961) A two-dimensional growth process. In Proc. 4th Berkeley Symp. Math. Statist. Prob. 4, 223–239.Google Scholar
Harris, T. E. (1974) Contact interactions on a lattice. Ann. Prob. 2, 969–988.Google Scholar
Liggett, T. M. (1972) Existence theorems for infinite particle systems. Trans. Amer. Math. Soc. 165, 471–481.CrossRefGoogle Scholar
Schürger, K. (1979) On the asymptotic geometrical behaviour of a class of contact interaction processes with a monotone infection rate. Z. Wahrscheinlichkeitsth. 48, 35–48.CrossRefGoogle Scholar
Schürger, K. (1980) On the asymptotic geometrical behaviour of percolation processes. J. Appl. Prob. 17,Google Scholar
Schürger, K. and Tautu, P. (1976) A Markovian configuration model for carcinogenesis. In Mathematical Models in Medicine, ed. Berger, J. et al. Lecture Notes in Biomathematics 11, Springer-Verlag, Berlin, 92–108.Google Scholar
Smythe, R. T. and Wierman, J. C. (1978) First-Passage Percolation on the Square Lattice. Lecture Notes in Mathematics 671, Springer-Verlag, Berlin.Google Scholar
Williams, T. and Bjerknes, R. (1972) Stochastic model for abnormal clone spread through epithelial basal layer. Nature (London) 236, 19–21.Google Scholar