Markov Evolution of Continuum Particle Systems with Dispersion and Competition

Details Markov Evolution of Continuum Particle Systems with Dispersion and Competition Markov Evolution of Continuum Particle Systems with Dispersion and Competition

2011-12-05

arxiv.org/abs/1112.0895v2

Physics

Mathematical Physics

43 pages

Scientific paper

We construct birth-and-death Markov evolution of states(distributions) of point particle systems in $\mathbb{R}^d$. In this evolution, particles reproduce themselves at distant points (disperse) and die under the influence of each other (compete). The main result is a statement that the corresponding correlation functions evolve in a scale of Banach spaces and remain sub-Poissonian, and hence no clustering occurs, if the dispersion is subordinate to the competition.

Affiliated with

Also associated with

No associations

Rating

Markov Evolution of Continuum Particle Systems with Dispersion and Competition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Markov Evolution of Continuum Particle Systems with Dispersion and Competition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Markov Evolution of Continuum Particle Systems with Dispersion and Competition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-394498