The extremal process in nested conformal loops
57 mins 25 secs,
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Description: |
Aidékon, E (Université Pierre & Marie Curie-Paris VI)
Monday 26 January 2015, 11:30-12:30 |
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Created: | 2015-02-02 12:05 |
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Collection: | Random Geometry |
Publisher: | Isaac Newton Institute |
Copyright: | Aidékon, E |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | By analogy with the Liouville measures constructed by Duplantier and Sheffield in the case of the Gaussian Free Field, we construct a random measure on the unit disc related to a collection of nested conformal loops. Then, we study the extremal process associated to points in the disc with high conformal radius. We show that it gives a decorated Poisson point process, as can be expected from the analogy with branching Brownian motion. |
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