Conference Stochastic Dynamics (SAMOS, 2007)
Enregistrement des conférences "Stochastic Dynamics" organisées par l'équipe de recherche SAMOS les 11 et 12 juin 2007. Les résumés des intervenants sont également disponibles sur l'Espace pédagogique interactif (http://epi.univ-paris1.fr/samos-conf-stochastic-dynamics). Recommandé à : étudiant de la discipline, chercheur - Catégorie : conférences - Année de réalisation : 2007
Episodes
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01 - Intervention du président de l'Université Paris 1 - Pierre-Yves HENIN
Monsieur Pierre-Yves Hénin, Président de l'Université Paris 1, acceuille des participants à la conférence et se félicite que le Centre Pierre Mendès-France serve de cadre à cette manifestation scientifique. Bande son disponible au format mp3 Durée : 6 mn
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02 - Présentation du Centre d'Economie de la Sorbonne - Cuong LE VAN
Monsieur Cuong Le Van, Directeur du Centre d'Economie de la Sorbonne, présente ce centre en décrivant plus particulièrement les thématiques de recherche en mathématiques qui y sont développées. Bande son disponible au format mp3 Durée : 4 mn
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03 - Property of the density for a three dimensional stochastic wave equation - Marta SANZ-SOLE
Consider the stochastic wave equation in dimension , , where denotes the formal derivative of a Gaussian stationary random field, white in time and correlated in space. Using Malliavin calculus, with Quer-Sardanyons we proved the existence and regularity of density of the law of the solution to…
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04 - Questions - Marta SANZ-SOLE
Marta SANZ-SOLE. Universitat de Barcelona. Bande son disponible au format mp3 Durée : 4 mn
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05 - Random Attractors and the Preservation of Synchronization in the Presence of Noise - Peter KLOEDEN
The long term behaviour of dissipatively synchronized deterministic systems is determined by the system with the averaged vector field of the original uncoupled systems. This effect is preserved in the presence of environmental i.e., background or additive noise provided stochastic stationary...
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06 - Questions - Peter KLOEDEN
Peter KLOEDEN. Johann Wolfgang Goethe University. Bande son disponible au format mp3 Durée : 4 mn
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07 - Applications of optimal transport theory to stochastic equations - Lorenzo ZAMBOTTI
We want to present some results on gradient systems with convex potential in finite and infinite dimension. The techniques are based on recent developments in the theory of gradient flows in the Wasserstein metric. (joint work with L. Ambrosio & G. Savaré). Lorenzo ZAMBOTTI. Université Paris 6....
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08 - Questions - Lorenzo ZAMBOTTI
Lorenzo ZAMBOTTI. Université Paris 6. Bande son disponible au format mp3 Durée : 4 mn
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09 - Reductions and deviations for stochastic partial differential equations under fast dynamical boundary conditions - Jinqiao DUAN
As a model for multiscale systems under random influences on physical boundary, a stochastic partial differential equation under a fast random dynamical boundary condition is investigated. An effective equation is derived and justified by reducing the random dynamical boundary condition to a…
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10 - Questions - Jinqiao DUAN
Jinqiao DUAN. Illinois Institute of Technology. Bande son disponible au format mp3 Durée : 4 mn
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11 - Almost-sure Lyapunov Exponent for a directed polymer in a fractional Brownian environment - Frederi VIENS
We consider a directed polymer on the unit circle, with a continuous direction (time) parameter , defined as a simple random walk subjected via a Gibbs measure to a Hamiltonian whose increments in time have either long memory () or semi-long memory (), and which also depends on a space parameter...
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12 - Questions - Frederi VIENS
Frederi VIENS. Purdue University. Bande son disponible au format mp3 Durée : 4 mn
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13 - The Stochastic Heat Equation with a Fractional-Colored Noise: Existence of the Solution - Raluca BALAN
In this talk we consider the stochastic heat equation in , with vanishing initial conditions, driven by a Gaussian noise which is fractional in time, with Hurst index , and colored in space, with spatial covariance given by a function . Our main result gives the necessary and sufficient condition...
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14 - Questions - Raluca BALAN
Raluca BALAN. University of Ottawa. Bande son disponible au format mp3 Durée : 7 mn
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15 - Convergence of weighted power variations of fractional Brownian motion - Ivan NOURDIN
In the first part of the talk, we will study the convergence of some weighted power variations of a fractional Brownian motion B. In the second part, we will apply the results obtained in the first part to compute the exact rate of convergence of some approximating schemes associated to scalar...
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16 - Questions - Ivan NOURDIN
Ivan NOURDIN. Université Paris 6. Bande son disponible au format mp3 Durée : 4 mn
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01 - Modeling financial assets without semimartingale - Francesco RUSSO
This talk does not suppose a priori that the evolution of a financial asset price is a semimartingale. The stochastic integral intervening in the definition of self-financing property is forward integral. If one requires that a certain minimal class of investor strategies are self-financing,...
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02 - Questions - Francesco RUSSO
Francesco RUSSO. Université Paris 13. Bande son disponible au format mp3 Durée : 4 mn
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03 - On fractional diffusion processes - Samy TINDEL
In this talk, we will describe some recent results concerning stochastic differential equations driven by a multidimensional fractional Brownian motion with Hurst parameter 1/3<H<1/2. Some simplifications in the rough path analysis have allowed us to study some properties of the processes...
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04 - Questions - Samy TINDEL
Samy TINDEL. Université de Nancy. Bande son disponible au format mp3 Durée : 3 mn
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05 - The Korteweg-de Vries equation with multiplicative noise : existence of solutions and random modulation of solitons - Arnaud DEBUSSCHE
In this work, we consider the Korteweg- de Vries equation perturbed by a random force of white noise type, additive or multiplicative. In a series of work, in collaboration with Y. Tsutsumi, we have studied existence and uniqueness in the additive case for very irregular noises. These use the...
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06 - Questions - Arnaud DEBUSSCHE
Arnaud DEBUSSCHE. ENS Cachan. Bande son disponible au format mp3 Durée : 2 mn
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07 - A stochastic nonlinear Schrodinger equation arising in Bose-Einstein condensation - Anne de BOUARD
We study from a mathematical point of view a model equation for Bose Einstein condensation, in the case where the trapping potential varies randomly in time. The model is a nonlinear Schrödinger equation, with a quadratic potential with white noise fluctuations in time. We prove the existence of...
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08 - On the averaging principle for a general class of SPDE's - Sandra CERRAI
We prove that an averaging principle holds for a general class of stochastic reaction-diffusion systems, having unbounded multiplicative noise, in any space dimension. We show that the classical Khasminskii approach for systems with a finite number of degrees of freedom can be extended to…
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09 - Questions - Sandra CERRAI
Sandra CERRAI. Universita di Firenze. Bande son disponible au format mp3 Durée : 6 mn
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10 - Stochastic equations driven by fractional noise in infinite dimensions - Bohdan MASLOWSKI
Some recently obtained results on (fBm)- driven linear and semilinear stochastic equations in infinite dimensional state spaces are reviewed. Regularity of the fractional Ornstein-Uhlenbeck process is studied and some results on large time behaviour are given (existence and ergodicity of…
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11 - Questions - Bohdan MASLOWSKI
Bohdan MASLOWSKI. Academy of sciences of the Czech Republic. Bande son disponible au format mp3 Durée : 5 mn
About this show
Enregistrement des conférences "Stochastic Dynamics" organisées par l'équipe de recherche SAMOS les 11 et 12 juin 2007. Les résumés des intervenants sont également disponibles sur l'Espace pédagogique interactif (http://epi.univ-paris1.fr/samos-conf-stochastic-dynamics). Recommandé à : étudiant de la discipline, chercheur - Catégorie : conférences - Année de réalisation : 2007
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