Markov loops topology

2017/07/17 by Yves Le Jan, Jan, Yves Le
Engineering · #FOS: Mathematics #Human Motion and Animation #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1707.05106

openalex publication_date 2017/07/17 · openalex created_date 2023/01/04 · openalex updated_date 2026/07/28

Abstract

Since the work of Lawler and Werner on "loop soups", these ensembles have also been the object of many investigations. Their properties can be studied in the context of rather general Markov processes, in particular Markov chains on graphs. The purpose of the present work is to explore their topological properties.

Related

• On discrete loop signatures and Markov loops topology
• Markovian loop clusters on graphs
• Markov loops in discrete spaces
• A Study in Markov Chains, Loop-Erased Random Walk and Loop Soups
• Cluster explorations of the loop soup on a metric graph related to the Gaussian free field