2 papers
math.PR2022
Convergence of the logarithm of the characteristic polynomial of unitary Brownian motion in Sobolev space
Johannes Forkel, Isao Sauzedde
We prove that the convergence of the real and imaginary parts of the logarithm of the characteristic polynomial of unitary Brownian motion toward Gaussian free fields on the cylind…
math.PR2021
Homotopy and holonomy of the planar Brownian motion in a Poisson punctured plane
Isao Sauzedde
We define a family of diffeomorphism-invariant models of random connections on principal -bundles over the plane, whose curvatures are concentrated on singular points. In a limi…