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math.PR2011★ 1 cited
Explicit asymptotic velocity of the boundary between particles and antiparticles
V. A. Malyshev, A. D. Manita, A. A. Zamyatin
On the real line initially there are infinite number of particles on the positive half-line., each having one of negative velocities . Similarly, t…
math.PR2004★ 12 cited
Asymptotic analysis of a particle system with mean-field interaction
A. Manita, V. Shcherbakov
We study a system of interacting particles on . The stochastic dynamics consists of two components: a free motion of each particle (independent random walks) and a pair…