Multiple SLE from a Loop Measure Perspective

January 19, 2022
  • Schramm-Loewner evolution
  • loop measure
  • Dyson Brownian motion
  • radial Bessel process
  • 60-XX
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.)