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Multiple SLE from a Loop Measure Perspective

[HYBRID WORKSHOP] Connections Workshop: The Analysis and Geometry of Random Spaces January 19, 2022 - January 21, 2022

January 19, 2022 (11:00 AM PST - 11:50 AM PST)
Speaker(s): Vivian Healey (Texas State University)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords

  • Schramm-Loewner evolution

  • loop measure

  • Dyson Brownian motion

  • radial Bessel process

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Multiple SLE From A Loop Measure Perspective
Abstract

I will discuss the role of Brownian loop measure in the study of Schramm-Loewner evolution. This powerful perspective allows us to apply intuition from discrete models (inparticular, the λ-SAW model) to the study of SLE while simultaneously reducing many SLE computations to problems of stochastic calculus. I will discuss recent work on multiple radial SLE that employs this method, including the construction of global multiple radial SLE and its links to locally independent SLE and Dyson Brownian motion. (Joint work with Gregory F. Lawler.)
Supplements
92306?type=thumb Multiple SLE from a Loop Measure Perspective 2.13 MB application/pdf Download
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Multiple SLE From A Loop Measure Perspective

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