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math.PR2025
On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group
Marco Carfagnini, Maria Gordina
Onsager-Machlup functionals are used to describe the dynamics of a continuous stochastic process. For a stochastic process taking values in a Riemannian manifold, they have been st…
math.PR2024
Dirichlet metric measure spaces: spectrum, irreducibility, and small deviations
Marco Carfagnini, Maria Gordina, Alexander Teplyaev
We show that for ultracontractive irreducible Dirichlet metric measure spaces, the Dirichlet spectrum is discrete for a restriction to any connected open set without any assumption…
math.PR2024
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…