Mathematics – Probability
Scientific paper
2010-03-18
Electronic Journal of Probability, Vol. 16 (2011), Paper no. 4, pages 106-151
Mathematics
Probability
44 pages, corrected notation, revised arguments, results unchanged
Scientific paper
An approach to analyse the properties of a particle system is to compare it with different processes to understand when one of them is larger than other ones. The main technique for that is coupling, which may not be easy to construct. We give a characterization of stochastic order between different interacting particle systems in a large class of processes with births, deaths and jumps of many particles per time depending on the configuration in a general way: it consists in checking inequalities involving the transition rates. We construct explicitly the coupling that characterizes the stochastic order. As a corollary we get necessary and sufficient conditions for attractiveness. As an application, we first give the conditions on examples including reaction-diffusion processes, multitype contact process and conservative dynamics and then we improve an ergodicity result for an epidemic model.
No associations
LandOfFree
Stochastic order and attractiveness for particle systems with multiple births, deaths and jumps 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 Stochastic order and attractiveness for particle systems with multiple births, deaths and jumps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic order and attractiveness for particle systems with multiple births, deaths and jumps will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-700326