### Analysis and Probability SeminarAn Introduction to Caloric MeasureAlyssa Genschaw (UConn)

Friday, October 18, 2019
1:30pm – 2:30pm

Storrs Campus
MONT 313

Abstract: We will define caloric measure by first looking at the definition of harmonic measure (the steady state analogue of caloric measure) and some interpretations of harmonic measure. We look at extending known results for harmonic measure to caloric measure, and discuss where some difficulties arise. We then will give a brief overview of some recent results, including a Bourgain-type estimate, a criterion for nondoubling caloric measure to satisfy a weak reverse H¨older inequality, and that BMO-solvability implies scale invariant quantitative absolute continuity of caloric measure with respect to surface measure.

Contact:

scott.zimmerman@uconn.edu

Analysis and Probability Seminar (primary), UConn Master Calendar