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Switching identities for loop-soups and consequences
Multi angle
Authors : Werner, Wendelin (Author of the conference)
CIRM (Publisher )
60J65 - Brownian motion
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82B43 - Percolation (equilibrium statistical mechanics)
CIRM (Publisher )
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Abstract :
I will describe new and possibly surprising identities in law for loop-soups and Gaussian Free Fields on cable graphs, that allow to describe in simple terms the law of configurations when conditioned on connections to exist. I will discuss some consequences, including in directions inspired by Rick Kenyon's ideas.
Keywords : brownian loops; percolation; free field
MSC Codes : Keywords : brownian loops; percolation; free field
60J65 - Brownian motion
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82B43 - Percolation (equilibrium statistical mechanics)
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Information on the Video
Film maker : Récanzone, LucaLanguage : English Available date : 03/07/2025 Conference Date : 17/06/2025 Subseries : Research talks arXiv category : Probability Mathematical Area(s) : Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 01:04:54 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-06-17_Werner.mp4 
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Information on the Event
Event Title : Perfectly matched perspectives on statistical mechanics, combinatorics and geometry / Perspectives couplées sur la mécanique statistique, la combinatoire et la géométrieEvent Organizers : Boutillier, Cédric ; Chhita, Sunil ; George, Terrence ; Li, Zhongyang ; Tilière, Béatrice de Dates : 16/06/2025 - 20/06/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3178.html
Citation Data
DOI : 10.24350/CIRM.V.20364903Cite this video as: Werner, Wendelin (2025). Switching identities for loop-soups and consequences. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20364903 URI : http://dx.doi.org/10.24350/CIRM.V.20364903 |
See Also
- [Multi angle] The multinomial dimer model / Author of the conference Wolfram, Catherine.
- [Multi angle] Plabic tangles and cluster promotion maps / Author of the conference Williams, Lauren.
- [Multi angle] Coulomb gas approach to conformal field theory and lattice models of 2D statistical physics / Author of the conference Smirnov, Stanislav.
- [Multi angle] The infinite bin model, old and new / Author of the conference Ramassamy, Sanjay.
Bibliography
- WERNER, Wendelin. A switching identity for cable-graph loop soups and Gaussian free fields. arXiv preprint arXiv:2502.06754, 2025. - https://doi.org/10.48550/arXiv.2502.06754
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