Tagged particle limit for a Fleming-Viot type system.
Tail estimates for homogenization theorems in random media
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.
Teorie dynamických systémů
Test for submodel in Gibbs-Markov binary random sequence
Tetrahedron equation and the algebraic geometry
The 6 vertex model and Schubert polynomials.
The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins.
The algebraic Bethe Ansatz and vacuum vectors.
The Apollonian decay of beer foam bubble size distribution and the lattices of Young diagrams and their correlated mixing functions.
The Arcsine law as the limit of the internal DLA cluster generated by Sinai’s walk
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.
The asymmetric simple exclusion model with multiple shocks
The atomic and molecular nature of matter.
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.
The Bethe lattice spin glass at zero temperature
The Boltzmann-Enskog equation with large data; wellposedness and regularity
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
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.
The Cauchy problem for the Vlasov-Maxwell equations
The Child–Langmuir limit for semiconductors : a numerical validation
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...
The Child–Langmuir limit for semiconductors: a numerical validation
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...
The classical limit of relativistic extended thermodynamics
The condition of quasiperiodicity in imaginary time as a constraint at the functional integration and the time-dependent -correlator of the Heisenberg magnet.