Title: Diffusive estimates for a tagged particle in zero-range particle
Speaker: Professor Sunder Sethuraman
Speaker Info: Iow State University
We consider the motion of a distinguished, or tagged particle interacting with others in a zero-range system. The zero-range particle system is a collection of dependent random walks on the d-dimensional Euclidean lattice where the interaction is in the "time domain." That is, if there are k particles at a vertex, then with rate depending on the number of particles, say g(k), one of the particles jumps to a location according to a transition probability p independent of the other particles.Date: Monday, January 10, 2005
Under some conditions on g and p, we show the tagged particle in equilibrium is diffusive in dimensions d=1 and d>2. We also show, in a case in dimension d=1, an invariance principle for the tagged position.