A law of the iterated logarithm for fractional Brownian motions

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Dimensionality provides a clear fingerprint on the dispersion of infrared-active, polar-optical phonons. For these phonons, the local dipoles parametrized by the Born effective charges drive the LO-TO splitting of bulk materials; this splitting actually br ...

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We establish a Chung-type law of the iterated logarithm and the exact local and uniform moduli of continuity for a large class of anisotropic Gaussian random fields with a harmonizable-type integral representation and the property of strong local nondeterm ...

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We study the existence and propagation of singularities of the solution to a one-dimensional linear stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. Our approach is based on a simultaneous law of the ...

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In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

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A law of the iterated logarithm for fractional Brownian motions

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Nonlinear dynamics and Kerr frequency comb formation in lattices of coupled microresonators

Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields

The long cross-over dynamics of capillary imbibition

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Free Boundary Regularity for Almost Every Solution to the Signorini Problem

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