Tagged particle limit for a Fleming-Viot type system.
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Grigorescu, Ilie, Kang, Min (2006)
Electronic Journal of Probability [electronic only]
Daniel Boivin (2009)
ESAIM: Probability and Statistics
Consider a random environment in given by i.i.d. conductances. In this work, we obtain tail estimates for the fluctuations about the mean for the following characteristics of the environment: the effective conductance between opposite faces of a cube, the diffusion matrices of periodized environments and the spectral gap of the random walk in a finite cube.
Martin Macháček (1982)
Pokroky matematiky, fyziky a astronomie
Martin Janžura (1989)
Kybernetika
И.Г. Корепанов (1994)
Zapiski naucnych seminarov POMI
Lascoux, Alain (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Bovier, Anton, Klimovsky, Anton (2009)
Electronic Journal of Probability [electronic only]
Dragović, Vladimir (1994)
Publications de l'Institut Mathématique. Nouvelle Série
Sauerbrei, S., Haß, E.C., Plath, P.J. (2006)
Discrete Dynamics in Nature and Society
N. Enriquez, C. Lucas, F. Simenhaus (2010)
Annales de l'I.H.P. Probabilités et statistiques
We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a brownian motion which turns out to be a new interpretation of the Arcsine law.
P. A. Ferrari, L. R. G. Fontes, M. E. Vares (2000)
Annales de l'I.H.P. Probabilités et statistiques
Charles L. Fefferman (1985)
Revista Matemática Iberoamericana
The purpose of this article is to show that electrons and protons, interacting by Coulomb forces and governed by quantum statistical mechanics at suitable temperature and density, form a gas of Hydrogen atoms or molecules.
P. M. Bleher (1991)
Annales de l'I.H.P. Physique théorique
Leif Arkeryd (1989)
Journées équations aux dérivées partielles
Piotr Biler (1995)
Studia Mathematica
The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.
Glassey, Robert T., Schaeffer, Jack (1989)
Portugaliae mathematica
María-José Cáceres, José-Antonio Carrillo, Pierre Degond (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
The Boltzmann–Poisson system modeling the electron flow in semiconductors is used to discuss the validity of the Child–Langmuir asymptotics. The scattering kernel is approximated by a simple relaxation time operator. The Child–Langmuir limit gives an approximation of the current-voltage characteristic curves by means of a scaling procedure in which the ballistic velocity is much larger that the thermal one. We discuss the validity of the Child–Langmuir regime by performing detailed numerical comparisons...
María-José Cáceres, José-Antonio Carrillo, Pierre Degond (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The Boltzmann–Poisson system modeling the electron flow in semiconductors is used to discuss the validity of the Child–Langmuir asymptotics. The scattering kernel is approximated by a simple relaxation time operator. The Child–Langmuir limit gives an approximation of the current-voltage characteristic curves by means of a scaling procedure in which the ballistic velocity is much larger that the thermal one. We discuss the validity of the Child–Langmuir regime by performing detailed numerical...
Wolfgang Dreyer, Wolf Weiss (1986)
Annales de l'I.H.P. Physique théorique
Malyshev, K. (2004)
Zapiski Nauchnykh Seminarov POMI
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