TL;DR
This paper extends homology and holonomy results from discrete graph loops to continuous Brownian loops, providing new insights into their topological properties.
Contribution
It introduces a novel extension of homology and holonomy concepts from discrete to continuous Brownian loops.
Findings
Established homology properties for Brownian loops
Extended holonomy results to continuous loops
Bridged discrete and continuous loop topologies
Abstract
The purpose of this note is to extend to Brownian loops some homology and holonomy results obtained in the case of discrete loops on a graph
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Taxonomy
TopicsTopological and Geometric Data Analysis · Mathematical Dynamics and Fractals · Mathematics and Applications