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7 papers · 2 filters
Local Energy Decay for the Damped Wave Equation
Jean-Marc Bouclet, Julien Royer
We prove local energy decay for the damped wave equation on R^d. The problem which we consider is given by a long range metric perturbation of the Euclidean Laplacian with a short…
De coherence for a heavy particle interacting with a light one: new analysis and numerics
Riccardo Adami, Maxime Hauray, Claudia Negulescu
We study the dynamics of a quantum heavy particle undergoing a repulsive interaction with a light one. The main motivation is the detailed description of the loss of coherence indu…
Vision-based macroscopic pedestrian models
Pierre Degond, Cécile Appert-Rolland, Julien Pettré +1
We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from earlier…
Large Time Behaviour and Convergence Rate for Non Demolition Quantum Trajectories
Tristan Benoist, Clement Pellegrini
A quantum system S undergoing continuous time measurement is usually described by a jump-diffusion stochastic differential equation. Such an equation is called a stochastic master…
Almost one bit violation for the additivity of the minimum output entropy
Serban T. Belinschi, Benoit Collins, Ion Nechita
In a previous paper, we proved that the limit of the collection of possible eigenvalues of output states of a random quantum channel is a deterministic, compact set K_{k,t}. We als…
A hierarchy of heuristic-based models of crowd dynamics
Pierre Degond, Cécile Appert-Rolland, Mehdi Moussaid +2
We derive a hierarchy of kinetic and macroscopic models from a noisy variant of the heuristic behavioral Individual-Based Model of Moussaid et al, PNAS 2011, where the pedestrians…