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We investigate the long time/small mean-free-path asymptotic behavior of the solutions of a Vlasov-L′evy-Fokker-Planck equation and show that the asymptotic dynamics for the VLFP are described by an a...
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the as...
Abstract: A branching process of particles moving at finite velocity over the geodesic lines of the hyperbolic space (Poincar\'e half-plane and Poincar\'e disk) is examined. Each particle can split in...
Abstract: We prove propagation of chaos for a system of particles interacting with a singular interaction force of the type $1/|x|^\alpha$, with $\alpha <1$ in dimension $d \geq 3$. We also recover th...
Abstract: We introduce and investigate a new model of a finite number of particles jumping forward on the real line. The jump lengths are independent of everything, but the jump rate of each particle ...
Small particles transported by a fluid medium do not necessarily have to follow the flow. We show that for a wide class of time-periodic incompressible flows inertial particles have a tendency to spon...
We analyze certain conservative interacting particle system and establish ergodicity of the system for a family of invariant measures. Furthermore,we show that convergence rate to equilibrium is expon...
Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances.
We introduce a new interacting particles model with blocking and pushing interactions. Particles evolve on the positive line jumping on their own volition rightwards or leftwards according to geometri...
We consider a system x(t) = (x1(t), . . . , xN(t)) consisting of N Brownian parti-cles with synchronizing interaction between them occurring at random time moments {n}1 n=1. Under assumption that the...
In this paper we show how all the quantum properties of Schroedinger and Pauli particles can be described entirely from within a Clifford algebra taken over the reals. There is no need to appeal to a...
We study the dynamics of a classical nonrelativistic charged particle moving on a punctured plane under the influence of a homogeneous magnetic field and driven by a periodically time-dependent singu...
We consider a finite or countable collection of one-dimensional Brownian particles whose dynamics at any point in time is determined by their rank in the entire particle system. Using Transportation ...
Superimposed particles in 1D ground states      Superimposed particles  1D ground states        font style='font-size:12px;'> 2010/11/29
For a class of nonnegative, range-1 pair potentials in one dimensional continuous space we prove that any classical ground state of lower density  1 is a tower-lattice, i.e., a lattice formed by towe...
We consider the ordered and disordered dynamics for monolayers of rolling self-interacting par- ticles with an o -set center of mass and a non-isotropic inertia tensor. The rolling constraint is cons...

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