Publications related to The Bounded Confidence Model Of Opinion Dynamics

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

For the radial energy-supercritical nonlinear wave equation

\Box u = -u_{tt} + \triangle u = \pm u^7

on

\R^{3+1}

, we prove the existence of a class of global in forward time

C^\infty

-smooth solutions with infinite critical Sobolev norm $\dot{H}^{\f ...

Springer Verlag2014

A stochastic collocation method for the second order wave equation with a discontinuous random speed

Fabio Nobile

In this paper we propose and analyze a stochastic collocation method for solving the second order wave equation with a random wave speed and subjected to deterministic boundary and initial conditions. The speed is piecewise smooth in the physical space and ...

Springer Verlag2013

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

Jean-Yves Le Boudec

Assume that a stochastic process 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 approxima ...

2013

The Bounded Confidence Model Of Opinion Dynamics

Jean-Yves Le Boudec, Javier Gomez Serrano

The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions evolve globally into ...

World Scientific Publishing2012

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

Fabio Nobile

In this paper we propose and analyze a stochastic collocation method for solving the second order wave equation with a random wave speed and subjected to deterministic boundary and initial conditions. The speed is piecewise smooth in the physical space and ...

MATHICSE2011

Sur la méthode de Buser-Silhol pour l'uniformisation des surfaces de Riemann hyperelliptiques

Grégoire Aubry

The Uniformization Theorem due to Koebe and Poincaré implies that every compact Riemann surface of genus greater or equal to 2 can be endowed with a metric of constant curvature – 1. On the other hand, a compact Riemann surface is a complex algebraic curve ...

EPFL2010

Jump-diffusions in Hilbert spaces: existence, stability and numerics

Damir Filipovic

By means of an original approach, called 'method of the moving frame', we establish existence, uniqueness and stability results for mild and weak solutions of stochastic partial differential equations (SPDEs) with path-dependent coefficients driven by an i ...

2010

Fractional Brownian Vector Fields

Michaël Unser, Pouya Dehghani Tafti

This work puts forward an extended definition of vector fractional Brownian motion (fBm) using a distribution theoretic formulation in the spirit of Gel′fand and Vilenkin's stochastic analysis. We introduce random vector fields that share the statistical i ...

SIAM2010

An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data

Fabio Nobile

This work proposes and analyzes an anisotropic sparse grid stochastic collocation method for solving partial differential equations with random coefficients and forcing terms ( input data of the model). The method consists of a Galerkin approximation in th ...

Society for Industrial and Applied Mathematics2008

Modulational instability in nonlinearity-managed optical media

Demetri Psaltis, Ye Pu

We investigate analytically, numerically, and experimentally the modulational instability in a layered, cubically nonlinear (Kerr) optical medium that consists of alternating layers of glass and air. We model this setting using a nonlinear Schrödinger (NLS ...

2007

The Bounded Confidence Model Of Opinion Dynamics

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Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

A stochastic collocation method for the second order wave equation with a discontinuous random speed

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

The Bounded Confidence Model Of Opinion Dynamics

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

Sur la méthode de Buser-Silhol pour l'uniformisation des surfaces de Riemann hyperelliptiques

Jump-diffusions in Hilbert spaces: existence, stability and numerics

Fractional Brownian Vector Fields

An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data

Modulational instability in nonlinearity-managed optical media

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

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

The Bounded Confidence Model Of Opinion Dynamics

Modulational instability in nonlinearity-managed optical media

Fractional Brownian Vector Fields

An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data

A stochastic collocation method for the second order wave equation with a discontinuous random speed

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Jump-diffusions in Hilbert spaces: existence, stability and numerics

Sur la méthode de Buser-Silhol pour l'uniformisation des surfaces de Riemann hyperelliptiques