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math.PR2024
Central limit theorem for superdiffusive reflected Brownian motion
Aleksandar Mijatović, Isao Sauzedde, Andrew Wade
We study the second-order asymptotics around the superdiffusive strong law~\cite{MMW} of a multidimensional driftless diffusion with oblique reflection from the boundary in a gener…
math.PR2024
Loop soup representation of zeta-regularised determinants and equivariant Symanzik identities
Pierre Perruchaud, Isao Sauzedde
We derive a stochastic representation for determinants of Laplace-type operators on vectors bundles over manifolds. Namely, inverse powers of those determinants are written as the…