Stochastic domination for the last passage percolation model

Abstract

A competition model on ${\mathbb{Z}}_{+}^2$ governed by directed last passage percolation is considered. A stochastic domination argument between subtrees of the last passage percolation is put forward.

11 pages, 3 figures

References in corpus (5)

• Discrete polynuclear growth and determinantal processes
• Limiting shape for directed percolation models
• The motion of a second class particle for the tasep starting from a decreasing shock profile
• Competition between growths governed by Bernoulli Percolation
• Collision probabilities in the rarefaction fan of asymmetric exclusion processes

Cited by in corpus (2)

• Coexistence probability in the last passage percolation model is $6-8\log 2$
• Collision probabilities in the rarefaction fan of asymmetric exclusion processes