Stochastic Spatial Processes: Mathematical Theories and Biological Applications Proceedings of a Conference held in Heidelberg, September 10–14, 1984

P. Tautu (auth.), Petre Tautu (eds.)9780387168036, 0-387-16803-6

Table of contents :
Stochastic spatial processes in biology: A concise historical survey….Pages 1-41
Tests for space-time clustering….Pages 42-51
Age distributions in birth and death processes….Pages 52-58
Critical clustering in the two dimensional voter model….Pages 59-68
Measure-valued processes Construction, qualitative behavior and stochastic geometry….Pages 69-93
Dual processes in population genetics….Pages 94-105
Some peculiar properties of a particle system with sexual reproduction….Pages 106-111
Computer simulation of developmental processes in biology: Models for the developing limb….Pages 112-123
Asymptotics and spatial growth of branching random fields….Pages 124-135
Generation-dependent branching processes with immigration: convergence of distributions….Pages 136-144
On a class of infinite particle systems evolving in a random environment….Pages 145-164
Percolation processes and dimensionality….Pages 165-174
Birth and death processes with killing and applications to parasitic infections….Pages 175-186
Limit theorems for multitype branching random walks….Pages 187-194
On the reproduction rate of the spatial general epidemic….Pages 195-199
Nearest particle systems: Results and open problems….Pages 200-215
Neutral models of geographical variation….Pages 216-237
Stochastic measure diffusions as models of growth and spread….Pages 238-248
L 2 convergence of certain random walks on Z d and related diffusions….Pages 249-257
Random fields: Applications in cell biology….Pages 258-299
Correlated percolation and repulsive particle systems….Pages 300-311