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Onsager-Machlup functional for loop measures
Marco Carfagnini, Yilin Wang
We relate two ways to renormalize the Brownian loop measure on the Riemann sphere. One by considering the Brownian loop measure on the sphere minus a small disk, known as the norma…
math.PR2023
Spectral gap bounds on H-type groups
Marco Carfagnini, Maria Gordina
In this note we provide bounds on the spectral gap for the Dirichlet sub-Laplacians on -type groups. We use probabilistic techniques and in particular small deviations of the co…