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Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations

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The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Fei Pu

In this thesis, we study systems of linear and/or non-linear stochastic heat equations and fractional heat equations in spatial dimension

1

driven by space-time white noise. The main topic is the study of hitting probabilities for the solutions to these ...

EPFL2018

Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations

Graph Chatbot

Chattez avec Graph Search

Euclid preparation: XXVIII. Forecasts for ten different higher-order weak lensing statistics

Local Nondeterminism and Local Times of the Stochastic Wave Equation Driven by Fractional-Colored Noise

A birth-death-migration model for life in astrophysical environments

On Gaussian Process based Koopman Operator

On the density of the supremum of the solution to the linear stochastic heat equation

Fractional extreme distributions

Non-perturbative probability distribution function for cosmological counts in cells

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Cosmological constraints from the convergence 1-point probability distribution

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Local Nondeterminism and Local Times of the Stochastic Wave Equation Driven by Fractional-Colored Noise

A birth-death-migration model for life in astrophysical environments

Fractional extreme distributions

Non-perturbative probability distribution function for cosmological counts in cells

On Gaussian Process based Koopman Operator

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

On the density of the supremum of the solution to the linear stochastic heat equation

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Euclid preparation: XXVIII. Forecasts for ten different higher-order weak lensing statistics

Cosmological constraints from the convergence 1-point probability distribution