Concept

Exponential growth

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Localization errors of the stochastic heat equation

David Jean-Michel Candil

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

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Exponential growth

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On the number of regions of piecewise linear neural networks

Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise

Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings

Dynamics of Dual-Mode Bedload Transport With Three-Dimensional Alternate Bars Migration in Subcritical Flow: Experiments and Model Analysis

Data-driven large-scale genomic analysis reveals an intricate phylogenetic and functional landscape in J-domain proteins

The long cross-over dynamics of capillary imbibition

Two-dimensional atomically bridged nanoporous silicate-based membranes for gas separation

Localization errors of the stochastic heat equation

Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method

On the number of regions of piecewise linear neural networks

Dynamics of Dual-Mode Bedload Transport With Three-Dimensional Alternate Bars Migration in Subcritical Flow: Experiments and Model Analysis

Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings

Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method

The long cross-over dynamics of capillary imbibition

Two-dimensional atomically bridged nanoporous silicate-based membranes for gas separation

Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise

Data-driven large-scale genomic analysis reveals an intricate phylogenetic and functional landscape in J-domain proteins

Localization errors of the stochastic heat equation