Stochastic Spatial Processes Mathematical Theories and Biological Ap
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1212 Stochastic Spatial Processes Mathematical Theories and Biological Applications Proceedings of a Conference held in Heidelberg, September 10-14, 1984
Edited by P. Tautu
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editor
Petre Tautu Abtlg. Mathematische Modelle Institut fur Dokumentation, Information und Statistik Deutsches Krebsforschungszentrum, 1m Neuenheimer Feld 280 6900 Heidelberg 1, West Germany
Mathematics Subject Classification (1980): 60-06, 60G 60, 60K35, 92-06, 92A 15 ISBN 3-540-16803-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-16803-6 Springer-Verlag New York Berlin Heidelberg
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© Springer-Verlag Berlin Heidelberg 1986 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
STOCHASTIC SPATIAL PROCESSES MATHEMATICAL THEORIES AND BIOLOGICAL APPLICATIONS
TABLE OF CONTENTS Foreword List of contributors I.INTRODUCTORY EDITORIAL Stochastic spatial processes in biology: A concise historical survey P.TAUTU II.WORKSHOP CONTRIBUTIONS Tests for space-time clustering A.D.BARBOUR and G.K.EAGLESON Age distributions in birth and death processes A.BOSE Critical clustering in the two dimensional voter model J.T.COX and D.GRIFFEATH Measure-valued processes. Construction,qualitative behavior and stochastic geometry D.DAWSON Dual processes in population genetics P.DONNELLY Some peculiar properties of a particle system with sexual reproduction R.DURRETT Computer simulation of developmental processes in biology: Models for the developing limb D.A.EDE Asymptotics and spatial growth of branching random fields L. G. GO R0STI ZA Generation dependent branching processes with immigration: Convergence of distributions T.GUTZ On a class of infinite particle systems evolving in a random environment A. GREVEN Percolation processes and dimensionality G.GRIMMETT Birth and death processes with killing and applications to parasitic infections K.P.HADELER
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TABLE OF CONTENTS
Limit theorems for multi type branching random walks G.IVANOFF On the reproduction rate of the spatial general epidemic K.KUULASMAA Nearest particle systems; Results and open problems T.M.LIGGETT Neutral models of geographical variation T.NAGYLAKI Stochastic measure diffusions as models of growth and spread G.ROSENKRANZ L2 convergence of certain random walks on Zd and related diffusions W.G.SULLIVAN Random fields; Applications in cell biology P.TAUTU Correlated percolation and repulsive particle systems D.J.A.WELSH
187 195
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FOREWORD
The present volume -brings together 20 papers presented at
