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Sarai Hernandez Torres - Minkowski content of the scaling limit of 3D loop-erased random walk

Recorded 08 May 2024. Sarai Hernandez Torres of the National Autonomous University of Mexico presents "Minkowski content of the scaling limit of 3D loop-erased random walk" at IPAM's Statistical Mechanics Beyond 2D Workshop.
Abstract: This talk will present recent work on the Minkowski content of the scaling limit of the three-dimensional loop-erased random walk (LERW). Since essential tools in the continuum are lacking, key parts of the analysis occur in discrete space. In particular, we obtain sharp estimates on the one-point function and ball-hitting probabilities for the LERW on Z^3. Based on joint work with Xinyi Li and Daisuke Shiraishi.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-iii-statistical-mechanics-beyond-2d/

Видео Sarai Hernandez Torres - Minkowski content of the scaling limit of 3D loop-erased random walk канала Institute for Pure & Applied Mathematics (IPAM)
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9 мая 2024 г. 1:58:25
00:47:32
Institute for Pure & Applied Mathematics (IPAM)
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