4 papers · 1 filter
A note on small probabilities for spherical random fields at a critical regime
Marco Carfagnini
We consider time-dependent space isotropic and time stationary spherical Gaussian random fields. We establish Chung's law of the iterated logarithm and solve the small probabilitie…
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…
Small fluctuations for time-dependent spherical random fields
Marco Carfagnini, Anna Paola Todino
We consider time-dependent space isotropic and time stationary spherical Gaussian random fields. We establish Chung's law of the iterated logarithm and solve the small probabilitie…
An application of the Gaussian correlation inequality to the small deviations for a Kolmogorov diffusion
Marco Carfagnini
We consider an iterated Kolmogorov diffusion of step . The small ball problem for is solved by means of the Gaussian correlation inequality. We also prove Chung'…