Coexistence in discrete time multi-type competing frog models
Document Type
Article
Publication Title
Electronic Communications in Probability
Abstract
We study coexistence in discrete time multi-type frog models. We first show that for two types of particles on Z(d), for d >= 2, for any jumping parameters p(1), p(2) is an element of (0, 1], coexistence occurs with positive probability for sufficiently rich deterministic initial configuration. We extend this to the case of random distribution of initial particles. We study the question of coexistence for multiple types and show positive probability coexistence of 2(d) types on Z(d) for rich enough initial configuration. We also show an instance of infinite coexistence on Z(d) for d >= 3 provided we have sufficiently rich initial configuration.
DOI Link
Publication Date
1-1-2021
Publisher
Project Euclid
Volume
Vol.26
Recommended Citation
Roy, Rishideep and Saha, Kumarjit, "Coexistence in discrete time multi-type competing frog models" (2021). Faculty Publications. 85.
https://research.iimb.ac.in/fac_pubs/85
