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Introduction to hyperbolic sigma models and Edge Reinforced Random Walk
Multi angle
Authors : Spencer, Tom (Author of the conference)
CIRM (Publisher )
60G50 - Sums of independent random variables; random walks
60J75 - Jump processes
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
60K37 - Processes in random environments
81T25 - Quantum field theory on lattices
81T60 - Supersymmetric field theories
CIRM (Publisher )
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Abstract :
This talk will introduce two statistical mechanics models on the lattice. The spins in these models have a hyperbolic symmetry. Correlations for these models can be expressed in terms of a random walk in a highly correlated random environment. In the SUSY hyperbolic case these walks are closely related to the vertex reinforced jump process and to the edge reinforced random walk. (Joint work with M. Disertori and M. Zirnbauer.)
MSC Codes : 60G50 - Sums of independent random variables; random walks
60J75 - Jump processes
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
60K37 - Processes in random environments
81T25 - Quantum field theory on lattices
81T60 - Supersymmetric field theories
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 08/06/2017 Conference Date : 01/06/2017 Subseries : Research talks arXiv category : Mathematical Physics ; Probability Mathematical Area(s) : Probability & Statistics ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:53:11 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-06-01_Spencer.mp4 
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Information on the Event
Event Title : Random walks with memory / Marches aléatoires à mémoireEvent Organizers : Gantert, Nina ; Ramirez, Alejandro ; Sabot, Christophe ; Tarres, Pierre ; Toth, Balint Dates : 29/05/2017 - 02/06/2017 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1566.html
Citation Data
DOI : 10.24350/CIRM.V.19180103Cite this video as: Spencer, Tom (2017). Introduction to hyperbolic sigma models and Edge Reinforced Random Walk. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19180103 URI : http://dx.doi.org/10.24350/CIRM.V.19180103 |
See Also
- [Multi angle] Internal diffusion-limited aggregation with random starting points / Author of the conference Kozma, Gady.
- [Multi angle] Time changes of stochastic processes: convergence and heat kernel estimates / Author of the conference Kumagai, Takashi.
- [Post-edited] Self-interacting walks and uniform spanning forests / Author of the conference Peres, Yuval.
Bibliography
