Abstract:
In a 2D simply connected domain, the CLE4 is a conformal invariant in law, countable collection of simple loops related to the Gaussian free field by the Miller Sheffield coupling. We will give the joint law for a CLE4 loop, surrounding a given point z, of the conformal radius seen from z and the conformal modulus between the loop and the boundary of the domain. Previously, only the law of the conformal radius was known.
Biography:
Titus Lupu is now a CNRS Researcher at Sorbonne University, Paris. He defended his Ph.D. in 2015 under the direction of Prof. Yves Le Jan, and afterwards was Postdoc at ETH Zurich, in Wendelin Werner's group. His domains of interest are the Gaussian free field, isomorphism theorems, conformally invariant processes, determinantal point processes, self-interacting random walks and diffusions.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai