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Stochastic Spatial Processes

Mathematical Theories and Biological Applications

  • Conference proceedings
  • © 1986

Overview

Editors:
  1. Petre Tautu
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1212)

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Table of contents (21 papers)

  1. Front Matter

    Pages I-IX
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  2. Stochastic spatial processes in biology: A concise historical survey

    • P. Tautu
    Pages 1-41

  3. Tests for space-time clustering

    • A. D. Barbour, G. K. Eagleson
    Pages 42-51

  4. Age distributions in birth and death processes

    • A. Bose
    Pages 52-58

  5. Critical clustering in the two dimensional voter model

    • J. Theodore Cox, David Griffeath
    Pages 59-68

  6. Measure-valued processes Construction, qualitative behavior and stochastic geometry

    • Donald Dawson
    Pages 69-93

  7. Dual processes in population genetics

    • Peter Donnelly
    Pages 94-105

  8. Some peculiar properties of a particle system with sexual reproduction

    • Richard Durrett
    Pages 106-111

  9. Computer simulation of developmental processes in biology: Models for the developing limb

    • D. A. Ede
    Pages 112-123

  10. Asymptotics and spatial growth of branching random fields

    • Luis G. Gorostiza
    Pages 124-135

  11. Generation-dependent branching processes with immigration: convergence of distributions

    • Thomas Götz
    Pages 136-144

  12. On a class of infinite particle systems evolving in a random environment

    • Andreas Greven
    Pages 145-164

  13. Percolation processes and dimensionality

    • Geoffrey Grimmett
    Pages 165-174

  14. Birth and death processes with killing and applications to parasitic infections

    • K. P. Hadeler
    Pages 175-186

  15. Limit theorems for multitype branching random walks

    • Gail Ivanoff
    Pages 187-194

  16. On the reproduction rate of the spatial general epidemic

    • Kari Kuulasmaa
    Pages 195-199

  17. Nearest particle systems: Results and open problems

    • Thomas M. Liggett
    Pages 200-215

  18. Neutral models of geographical variation

    • Thomas Nagylaki
    Pages 216-237

  19. Stochastic measure diffusions as models of growth and spread

    • Gerd Rosenkranz
    Pages 238-248

  20. L2 convergence of certain random walks on Zd and related diffusions

    • Wayne G. Sullivan
    Pages 249-257
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Keywords

Bibliographic Information

  • Book Title: Stochastic Spatial Processes

  • Book Subtitle: Mathematical Theories and Biological Applications

  • Editors: Petre Tautu

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0076234

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1986

  • Softcover ISBN: 978-3-540-16803-4Published: 01 October 1986

  • eBook ISBN: 978-3-540-47053-3Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 312

  • Topics: Probability Theory and Stochastic Processes

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