Brownian loops topology

DOI10.1007/s11118-019-09765-zzbMath1443.60082OpenAlexW2917068107WikidataQ128320065 ScholiaQ128320065MaRDI QIDQ778178

Yves Le Jan

Publication date: 2 July 2020

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-019-09765-z

zbMATH Keywords

holonomyMarkov loops

Mathematics Subject Classification ID

Random fields (60G60) Special processes (60K99) Diffusion processes and stochastic analysis on manifolds (58J65) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (3)

Topological expansion in isomorphism theorems between matrix-valued fields and random walks ⋮ Brownian Winding Fields ⋮ Limit theorems for loop soup random variables

Cites Work

• An \(\mathrm{SLE}_{2}\) loop measure
• Markov paths, loops and fields. École d'Été de Probabilités de Saint-Flour XXXVIII -- 2008
• Spanning forests and the vector bundle Laplacian
• Markov loops, free field and Eulerian networks
• The Brownian loop soup
• Markov loops, coverings and fields
• Virtually compact special hyperbolic groups are conjugacy separable
• Discrete path integral approach to the Selberg trace formula for regular graphs
• Conjugacy Separability of Groups of Integer Matrices
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