4 papers
The diagonal distribution for the invariant measure of a unitary type symmetric space
Doug Pickrell
Let U denote a simply connected compact Lie group, let K denote the fixed point set for an involutive automorphism of U, and let m denote the U-invariant probability measure on the…
An invariant measure for the loop space of a simply connected compact symmetric space
Doug Pickrell
Let X denote a simply connected compact Riemannian symmetric space, U the universal covering of the identity component of the group of automorphisms of X, and LU the loop group of…
Ergodicity of Mapping Class Group Actions on Representation Varieties, II. Surfaces with Boundary
Doug Pickrell, Eugene Z. Xia
The mapping class group of a compact oriented surface of genus greater than one with boundary acts ergodically on connected components of the representation variety corresponding t…
Ergodicity of Mapping Class Group Actions on Representation Varieties, I. Closed Surfaces
Doug Pickrell, Eugene Z. Xia
We prove that the mapping class group of a closed surface acts ergodically on connected components of the representation variety corresponding to a connected compact Lie group.