2 papers
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…