2010/06/29 by Joseph P. Stover, Joseph Stover, Stover, Joseph
Mathematics · Physics and Astronomy · #60K35 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR #msc:60K35
paper · pdf · doi:10.48550/arxiv.1006.5723
openalex publication_date 2010/06/29 · arxiv created 2010/11/10 · arxiv updated 2010/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Interacting particle systems are continuous time Markov processes which are used to construct models in many disciplines. Monotonicity is a property that some interacting particle systems possess. A monotone interacting particle system is called attractive. A benefit of attractiveness is that it simplifies certain calculations, one of which is the ability to use some computational algorithms to sample exactly from the stationary distribution of an ergodic process. Monotonicity is well understood for spin systems such as the contact process. Spin systems only include two particle types however, while in many applied models, it is desirable to include more species of particles. In this paper a general framework of monotonicity will be outlined for a certain class of multitype contact processes.