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Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations

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Stochastic integrals for spde's: A comparison

Robert Dalang

We present the Walsh theory of stochastic integrals with respect to martingale measures, and various extensions of this theory, alongside of the Da Prato and Zabczyk theory of stochastic integrals with respect to Hilbert-space-valued Wiener processes, and ...

Elsevier2011

Ecohydrological Footprints

Samir Suweis

Ecohydrological footprints are defined as the response of ecosystem functions or services to changes in their hydrologic drivers. In this thesis, several diverse footprints are addressed: noise-driven effects on storage-discharge relations and catchment st ...

EPFL2011

Numerical Integration of SDEs: A Short Tutorial

Thomas Schaffter

Introduction to numerical methods to simulate systems of stochastic differential equations (SDEs) both in Ito and Stratonovich scheme. ...

2010

The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points

Jean-Yves Le Boudec

Assume that a stochastic processes can be approximated, when some scale parameter gets large, by a fluid limit (also called mean field limit", or hydrodynamic limit"). A common practice, often called the ``fixed point approximation" consists in approxi ...

arxiv.org2010

On The Stochastic Modeling Of Rigid Body Systems With Application To Polymer Dynamics

John Maddocks

The stochastic equations of motion for a system of interacting rigid bodies in a solvent are formulated and studied. Three-dimensional bodies of arbitrary shape, with arbitrary couplings between translational and rotational degrees of freedom, as arise in ...

2010

Mean Field Asymptotic of Markov Decision Evolutionary Games and Teams

Jean-Yves Le Boudec

We introduce Markov Decision Evolutionary Games with N players, in which each individual in a large population interacts with other randomly selected players. The states and actions of each player in an interaction together determine the instantaneous payo ...

2009

The non-linear stochastic wave equation in high dimensions

Daniel Conus

The main topic of this thesis is the study of the non-linear stochastic wave equation in spatial dimension greater than 3 driven by spatially homogeneous Gaussian noise that is white in time. We are interested in questions of existence and uniqueness of so ...

EPFL2008

The stochastic wave equation

Robert Dalang

These notes give an overview of recent results concerning the non-linear stochastic wave equation in spatial dimensions d >= 1, in the case where the driving noise is Gaussian, spatially homogeneous and white in time. We mainly address issues of existence, ...

Springer Verlag2008

An asymptotic result for Brownian polymers

Thomas Mountford

We consider a model of the shape of a growing polymer introduced by Durrett and Rogers (Probab. Theory Related Fields 92 (1992) 337-349). We prove their conjecture about the asymptotic behavior of the underlying continuous process X-t (corresponding to the ...

2008

Driven mobility of self-interstitial defects under electron irradiation

In situ electron microscope observations of defects show that the incident high-energy electrons influence the evolution of microstructure of an irradiated material, reducing the number of defects seen in the field of view of the microscope. We investigate ...

2007