Stochastic Spatial Processes

Mathematical Theories and Biological Applications

320 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

Stochastic spatial processes in biology: A concise historical survey.- Tests for space-time clustering.- Age distributions in birth and death processes.- Critical clustering in the two dimensional voter model.- Measure-valued processes Construction, qualitative behavior and stochastic geometry.- Dual processes in population genetics.- Some peculiar properties of a particle system with sexual reproduction.- Computer simulation of developmental processes in biology: Models for the developing limb.- Asymptotics and spatial growth of branching random fields.- Generation-dependent branching processes with immigration: convergence of distributions.- On a class of infinite particle systems evolving in a random environment.- Percolation processes and dimensionality.- Birth and death processes with killing and applications to parasitic infections.- Limit theorems for multitype branching random walks.- On the reproduction rate of the spatial general epidemic.- Nearest particle systems: Results and open problems.- Neutral models of geographical variation.- Stochastic measure diffusions as models of growth and spread.- L 2 convergence of certain random walks on Z d and related diffusions.- Random fields: Applications in cell biology.- Correlated percolation and repulsive particle systems.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Angewandte Mathematik Stochastik
• ISBN: 9783540168034
• Sprache: Englisch
• Erscheinungsdatum: 01.10.1986
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: Petre Tautu