Survival Probabilities for Discrete Time Models in One Dimension

TL;DR

This paper studies the survival probabilities of the one-dimensional Domany-Kinzel model, providing a convergence theorem for infinite systems in the nonattractive case, advancing understanding of discrete time stochastic processes.

Contribution

It introduces a convergence theorem for infinite systems of the Domany-Kinzel model in the nonattractive case, a novel result in this area.

Findings

Established convergence conditions for infinite systems

Extended understanding of survival probabilities in discrete models

Provided theoretical foundation for nonattractive cases

Abstract

We consider survival probabilities for the discrete time process in one dimension, which is known as the Domany-Kinzel model. A convergence theorem for infinite systems can be obtained in the nonattractive case.