ON CONTACT PROCESSES IN CONTINUUM-Reference-Cited by-同舟云学术

ON CONTACT PROCESSES IN CONTINUUM

Published:2006-06 Issue:02 Volume:09 Page:187-198
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

KONDRATIEV YURI¹²,SKOROKHOD ANATOLI³⁴

Affiliation:

1. Department of Mathematics and BiBoS, Bielefeld University, Postfach 100131, D-33501 Bielefeld, Germany

2. National University "Kiev Mohyla Academy", Ukraine

3. Department of Statistics and Probability, Michigan State University, E. Lansing, MI 48824, USA

4. Institute of Mathematics of NASU, Kiev, Ukraine

Abstract

We introduce a continuous version of the contact model which is well known and widely studied in the lattice case. Under certain general assumptions on the infection spreading characteristics, we construct the contact process as a Markov process in the configuration space of the system.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025706002305

Reference6 articles.

1. The Theory of Stochastic Processes III

2. Nearest neighbor birth and death processes on the real line

3. Glauber dynamics of continuous particle systems

4. Interacting Particle Systems

5. Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

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