11 citations · 24 across the 28 of their papers we have counts for
28 papers
Conversations with Flaschka: Kac-Moody groups and Verblunsky coefficients
Mohammad Javad Latifi, Doug Pickrell
In this paper we discuss two items which in one way or another originated from conversations with Hermann Flaschka and his students. The first is an application of the Toda lattice…
Notes on invariant measures for loop groups
Doug Pickrell
Let denote a simply connected compact Lie group and let , the complexification. It is known that there exists an bi-invariant probability measure on a nat…
A Question About Total Positivity and Newman's Fourier Transforms with Real Zeroes
Doug Pickrell
Given a unitarily invariant ergodic measure on Hermitian matrices, it is known that the characteristic function determines (and is determined by) a Polya freq…
Loops in SU(2) and Factorization, II
Estelle Basor, Doug Pickrell
In the prequel to this paper, we proved that for a valued loop having the critical degree of smoothness (one half of a derivative in the Sobolev sense), the…
The Exponential of the S^1 Trace of the Free Field and Verblunsky Coefficients
Mohammad Javad Latifi, Doug Pickrell
An identity of Szego, and a volume calculation, heuristically suggest a simple expression for the distribution of Verblunsky coefficients with respect to the (normalized) exponenti…
Sobolev Maps into Compact Lie Groups and Curvature
Andres Larrain-Hubach, Doug Pickrell
These are notes on seminal work of Freed, and subsequent developments, on the curvature properties of (Sobolev Lie) groups of maps from a Riemannian manifold into a compact Lie gro…