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Verblunsky Coefficients and Gaussian Free Fields

Mathematical Physics and Probability Seminar

Verblunsky Coefficients and Gaussian Free Fields
Series: Mathematical Physics and Probability Seminar
Location: MATH 402
Presenter: Mohammad Javad Latifi, University of Arizona

In this talk, we will discuss the correspondence between Verblunsky Coefficients and the exponential of the S^1 trace of the Gaussian free field. Expressing the Szego recursion formula in terms of loops in SU(1,1), we use an auxiliary sequence to bridge the exponential of the Gaussian free field to a measure on the space of Verblunsky Coefficients.