Title: SERIES OF INFORMAL DISCUSSIONS ON CONFORMAL LOOP ENSEMBLES
Abstract:
This second background discussion continues the calculation of the
Radon-Nikodym derivative of chordal SLE curves in different domains, and
giving an expression for it in terms of the Brownian loop soup. The
definitions that are needed from the first discussion are those of the
half-plane capacity and of the Brownian bubble measure in the half-plane
at 0. We will also still make use of It? calculus, Girsanov's theorem as
well as the formulas we had for the measure of bubbles that exit a given
subdomain.