The random walk loop soup is a collection of loops after a loop-erasure procedure. Its scaling limit, known as the Brownian loop soup, is a conformally invariant process that plays an important role in the study of two-dimensional lattice systems. These loop soups connect deeply with various models, such as GFF, SLE, loop-erased random walks, uniform spanning trees, etc. The basic properties of the loop soup and its connection to other models will be discussed in the talk.

21 Apr 2023
3:00pm - 5:00pm
Where
Room 4472 (Lifts 25/26)
Speakers/Performers
Dr. Yifan GAO
City University
Organizer(S)
Department of Mathematics
Contact/Enquiries
Payment Details
Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
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