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Lemma 3.2 in Dinwoodie and Zabell (1992) gives conditions under which uni-tight holds when, for each θ, P n.. θ is the distribution (on a rather general space) of the average
We will show how the potential theoretic approach can be used to prove sharp estimates on capacities and metastable exit times also in the case when the distribution of the random
In Section 6 we discuss the one dimensional biased case and show that, when the initial distribution of height differences is an independent positive increment process
activated random walk (ARW) model is an interacting particle system on G , in which the number of particles initially on each vertex is independently distributed according to law µ..
Department of Mathematics, Faculty and Science and Technology, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan..
sequences, and so Aldous’ question becomes one of whether or not we can identify the mixing probability measure associated with an exchangeable sequence given the distribution of
Furthermore, Kesten and Zhang (1997) showed a central limit theorem for the passage time in the undirected critical model.. Here, we partially verify (1.14) for the directed
Gravity theories and differential geometry have been developed on differential manifolds where the functions form an algebra by pointwise multiplication:.. µ { f ⊗ g } = f
