The spectral gap for a Glauber-type dynamics in a continuous gas
The spectrum of Schrödinger operators with random magnetic fields
We shall consider the Schrödinger operators on with the magnetic field given by a nonnegative constant field plus random magnetic fields of the Anderson type or of the Poisson-Anderson type. We shall investigate the spectrum of these operators by the method of the admissible potentials by Kirsch-Martinelli. Moreover, we shall prove the lower Landau levels are infinitely degenerated eigenvalues when the constant field is sufficiently large, by estimating the growth order of the eigenfunctions...
The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces
The stochastic Ising model with the mixed boundary conditions.
The stochastic limit in the analysis of some modified open BCS models
The structural influence of the forces of the stability of dynamical systems.
The three dimensional polyominoes of minimal area.
The time constant and critical probabilities in percolation models.
The time for a critical nearest particle system to reach equilibrium starting with a large gap.
The triangle and the open triangle
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
The umbral transfer-matrix method. III: Counting animals.
The use of Laguerre-Sonine polynomials in solving Boltzmann's equation (II).
The Vlasov equation with strong mangnetic field and oscillating electric field as a model for isotop resonant separation.
The Wigner–Poisson–Fokker–Planck system : global-in-time solution and dispersive effects
Theoretical and numerical comparison of some sampling methods for molecular dynamics
The purpose of the present article is to compare different phase-space sampling methods, such as purely stochastic methods (Rejection method, Metropolized independence sampler, Importance Sampling), stochastically perturbed Molecular Dynamics methods (Hybrid Monte Carlo, Langevin Dynamics, Biased Random Walk), and purely deterministic methods (Nosé-Hoover chains, Nosé-Poincaré and Recursive Multiple Thermostats (RMT) methods). After recalling some theoretical convergence properties for the...
Théorie mathématique des machines à air chaud.
Theory of Dilute Binary Granular Gas Mixtures
A computer-aided method for accurately carrying out the Chapman-Enskog expansion of the Boltzmann equation, including its inelastic variant, is presented and employed to derive a hydrodynamic description of a dilute binary mixture of smooth inelastic spheres. Constitutive relations, formally valid for all physical values of the coefficients of restitution, are calculated by carrying out the pertinent Chapman-Enskog expansion to sufficient high orders in the Sonine polynomials to ensure numerical...
Thermodynamic limit for mean-field spin models.
Thermodynamics of simple mixtures of fluids with application to second sound and liquid helium
Thermodynamik quantenmechanischer Gesamtheiten