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A Kawasaki dynamics in continuum is a dynamics of an infinite system of interacting particles in ℝ d which randomly hop over the space. In this paper, we deal with an equilibrium Kawasaki dynamics which has a Gibbs measure µ as invariant measure. We study a scaling limit of such a dynamics,...
We provide conditions for the existence of measurable solutions to the equation ξ( Tω ) = f ( ω , ξ ( ω )), where T : Ω → Ω is an automorphism of the probability space Ω and f ( ω , ·) is a strictly (but not necessarily uniformly) contracting mapping.
In this paper we study the stationary probability distribution of a system consisting of a finite capacity buffer connected to N equal customers with bursty on-off demands. We assume that the buffer is filled up at a constant rate and we analyze the case when this filling rate satisfies an...
Let X 1 , ... , X r +1 be independent random variables having a standard gamma distribution with respective shape parameters α 1 , ... , α r +1 and define , i = 1, ... , r and , i = 1, ... , r where a ≠ 0 and b > 0 are constants. Then, ( Y 1 , ... , Y r ) and ( Z 1 , ... , Z r ) follow...
Under the topology of anisotropic Besov spaces, we prove the convergence in law of a random walk defined by the partial sums of a mean zero stationary Gaussian fields to the fractional Brownian sheet.
The purpose of this paper is to prove some random fixed point theorem for multivalued nonexpansive non-self random operators. We will prove the existence of a random fixed point theorem for multivalued non-self random operator in the framework of a Banach space with property (D), and satisfying...
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