Publications related to Lp-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

The Cost of Scaling a Reliable Interconnection Topology

Rachid Guerraoui, Alexandre David Olivier Maurer

In distributed computing, many papers try to evaluate the message complexity of a distributed system as a function of the number of nodes n. But what about the cost of building the distributed system itself? Assuming that we want to reliably connect n node ...

2020

Global Solutions To Stochastic Reaction-Diffusion Equations With Super-Linear Drift And Multiplicative Noise

Robert Dalang, Davar Khoshnevisan

Let xi(t, x) denote space-time white noise and consider a reaction-diffusion equation of the form (t, x) = 1/2u ''(t, x) + b(u(t, x)) + sigma(u(t,x))xi(t,x) on R+ x [0, 1], with homogeneous Dirichlet boundary conditions and suitable initial d ...

INST MATHEMATICAL STATISTICS2019

Truncated Levy motion through path integrals and applications to nondiffusive suprathermal ion transport

Ambrogio Fasoli, Ivo Furno, Paolo Ricci, Marcelo Baquero Ruiz, Oulfa Chellaï, Fabian Manke

Fractional Levy motion has been derived from its generalized Langevin equation via path integrals in earlier works and has since proven to be a useful model for nonlocal and non-Markovian processes, especially in the context of nondiffusive transport. Here ...

AMER PHYSICAL SOC2019

Expectation propagation in the large data limit

Guillaume Philippe Ivan Joseph Dehaene

Expectation propagation (EP) is a widely successful algorithm for variational inference. EP is an iterative algorithm used to approximate complicated distributions, typically to find a Gaussian approximation of posterior distributions. In many applications ...

Wiley2018

Burying non-radiative defects in InGaN underlayer to increase InGaN/GaN quantum well efficiency

Nicolas Grandjean, Jean-François Carlin, Raphaël Butté, Denis Martin, Gwénolé Jean Jacopin, Camille Haller

The insertion of an InGaN underlayer (UL) is known to strongly improve the performance of InGaN/GaN quantum well (QW) based blue light emitting diodes (LEDs). However, the actual physical mechanism responsible for it is still unclear. We thus conduct a sys ...

American Institute of Physics2017

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

Gaussian versus Sparse Stochastic Processes

Julien René Pierre Fageot

Although our work lies in the field of random processes, this thesis was originally motivated by signal processing applications, mainly the stochastic modeling of sparse signals. We develop a mathematical study of the innovation model, under which a signal ...

EPFL2017

On the Besov regularity of periodic Levy noises

Michaël Unser, Julien René Pierre Fageot, John Paul Ward

In this paper, we study the Besov regularity of Levy white noises on the d-dimensional torus. Due to their rough sample paths, the white noises that we consider are defined as generalized stochastic fields. We, initially, obtain regularity results for gene ...

Academic Press Inc Elsevier Science2017

The nature and role of advection in advection-diffusion equations used for modelling bed load transport

Christophe Ancey, Joris Heyman

The advection-diffusion equation arises quite often in the context of sediment transport, e.g., for describing time and space variations in the particle activity (the solid volume of particles in motion per unit streambed area). Stochastic models can also ...

2016

One-dimensional bedforms in shallow water flow over erodible slope: stability analysis and stochastic dynamics.

Christophe Ancey

We consider one-dimensional bedforms (e.g., anti-dunes, dunes, ripples), and investigate their stability and stochastic dynamics by combining numerical stochastic simulations and linear stability analysis. We focus on anti-dune development in supercritical ...

2016

Lp-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

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The Cost of Scaling a Reliable Interconnection Topology

Global Solutions To Stochastic Reaction-Diffusion Equations With Super-Linear Drift And Multiplicative Noise

Truncated Levy motion through path integrals and applications to nondiffusive suprathermal ion transport

Expectation propagation in the large data limit

Burying non-radiative defects in InGaN underlayer to increase InGaN/GaN quantum well efficiency

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Gaussian versus Sparse Stochastic Processes

On the Besov regularity of periodic Levy noises

The nature and role of advection in advection-diffusion equations used for modelling bed load transport

One-dimensional bedforms in shallow water flow over erodible slope: stability analysis and stochastic dynamics.

The Cost of Scaling a Reliable Interconnection Topology

Global Solutions To Stochastic Reaction-Diffusion Equations With Super-Linear Drift And Multiplicative Noise

Expectation propagation in the large data limit

On the Besov regularity of periodic Levy noises

Truncated Levy motion through path integrals and applications to nondiffusive suprathermal ion transport

Gaussian versus Sparse Stochastic Processes

The nature and role of advection in advection-diffusion equations used for modelling bed load transport

Burying non-radiative defects in InGaN underlayer to increase InGaN/GaN quantum well efficiency

One-dimensional bedforms in shallow water flow over erodible slope: stability analysis and stochastic dynamics.

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension