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26 papers · 1 filter
Rotation of a Bose-Einstein Condensate held under a toroidal trap
Amandine Aftalion, Peter Mason
The aim of this paper is to perform a numerical and analytical study of a rotating Bose Einstein condensate placed in a harmonic plus Gaussian trap, following the experiments of \c…
Phenotypic diversity and population growth in fluctuating environment: a MBPRE approach
Clément Dombry, Christian Mazza, Vincent Bansaye
Organisms adapt to fluctuating environments by regulating their dynamics, and by adjusting their phenotypes to environmental changes. We model population growth using multitype bra…
Sampling the Fermi statistics and other conditional product measures
Alexandre Gaudilliere, Julien Reygner
Through a Metropolis-like algorithm with single step computational cost of order one, we build a Markov chain that relaxes to the canonical Fermi statistics for k non-interacting p…
Initialization of the Shooting Method via the Hamilton-Jacobi-Bellman Approach
Emiliano Cristiani, Pierre Martinon
The aim of this paper is to investigate from the numerical point of view the possibility of coupling the Hamilton-Jacobi-Bellman (HJB) equation and Pontryagin's Minimum Principle (…
The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
Florent Benaych-Georges, Raj Rao Nadakuditi
We consider the eigenvalues and eigenvectors of finite, low rank perturbations of random matrices. Specifically, we prove almost sure convergence of the extreme eigenvalues and app…
Decay of Positive Waves for Hyperbolic Systems of Balance Laws
Paola Goatin, Laurent Gosse
We prove Ole\u ınik-type decay estimates for entropy solutions of strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which…