Abstract
We study coexistence in discrete time multi-type frog models. We first show that for two types of particles on , for , for any jumping parameters , 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 types on for rich enough initial configuration. We also show an instance of infinite coexistence on for provided we have sufficiently rich initial configuration.
Acknowledgments
We are grateful to the anonymous referee for their useful and insightful comments on the paper, which led to its substantial improvement.
Citation
Rishideep Roy. Kumarjit Saha. "Coexistence in discrete time multi-type competing frog models." Electron. Commun. Probab. 26 1 - 9, 2021. https://doi.org/10.1214/21-ECP429
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