On discrete loop signatures and Markov loops topology
Probability
2020-06-26 v2 Geometric Topology
Abstract
Our purpose is to explore, in the context of loop ensembles on finite graphs, the relations between combinatorial group theory, loops topology, loop measures, and signatures of discrete paths. We determine the distributions of the loop homotopy class, and of the first and second homologies, defined by the lower central series of the fundamental group.
Cite
@article{arxiv.1908.05187,
title = {On discrete loop signatures and Markov loops topology},
author = {Yves Le Jan},
journal= {arXiv preprint arXiv:1908.05187},
year = {2020}
}