Exploring the Brownian loop measure
 

Greg Lawler, University of Chicago
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RAI 121

Abstract: I will review the Brownian loop measure as a limit of random walk loop measures and discuss some decompositions into boundary bubbles.  We give a formulation of the measure on the unit disk in terms of measure-driven Loewner evolutions and something we call “Brownian bubble tea”.  This latter work is part of joint work with Frederik Viklund, Yilin Wang, and Catherine Wolfram. 

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