Coexistence in discrete time multi-type competing frog models

Prediction Models for Time Discrete Competing Risks

The classical approach to the modeling of discrete time competing risks consists of fitting multinomial logit models where parameters are estimated using maximum likelihood theory. Since the effects of covariates are specific to the target events, the resulting models contain a large number of parameters, even if there are only few predictor variables. Due to the large number of parameters clas...

Coexistence for Richardson type competing spatial growth models

We study a large family of competing spatial growth models. In these the vertices in Z can take on three possible states {0,1,2}. Vertices in states 1 and 2 remain in their states forever, while vertices in state 0 which are adjacent to a vertex in state 1 (or state 2) can switch to state 1 (or state 2). We think of the vertices in states 1 and 2 as infected with one of two infections while the...

Multi-type TASEP in discrete time

The TASEP (totally asymmetric simple exclusion process) is a basic model for a one-dimensional interacting particle system with non-reversible dynamics. Despite the simplicity of the model it shows a very rich and interesting behaviour. In this paper we study some aspects of the TASEP in discrete time and compare the results to the recently obtained results for the TASEP in continuous time. In ...

Coexistence in competing species models, I: the Neuhauser-Pacala model

This is a concise version of the lecture note for the first part of the learning session “Competing species models” held on 3rd August 2017 at the National University of Singapore1. This part is centered around the Neuhauser-Pacala model [3] in terms of methods of “Bernoulli subsystems” in [1, 4]. The second part of the session is led by Matthias Hammer and discusses related models of interacti...

Two Competing Discrete-Time Queues with Priority