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We prove that the growth constants for nearest-neighbour lattice trees and lattice (bond) animals on the integer lattice Z d are asymptotic to 2 d e as the dimension goes to
Together with the results of the 2-point function in [16], on which our proofs crucially rely, we prove that the r -point functions converge to the moment measures of the
In Section 3, we show that the birth-and-assassination process is the scaling limit, as n goes to infin- ity, of the rumor scotching process when G is the complete graph over n
Remark 24 Recall that to prove Proposition 8, we used Proposition 1 to establish the fact that if there is a coalescent process satisfying conditions B1 and B2 of Theorem 2, then
We prove the existence of a sphere of unoccupied plaquettes enclosing the origin (rather than just a sphere intersecting no occupied bond), and we do so for all dimensions..
We also define the corresponding notion of martingale, show that several standard examples of martingales (for example, sums or products of suitable inde- pendent random variables
Question: How can we modify Mann and Ishikawa iterative schemes with errors to obtain convergence theorems for finding a common fixed point of two multi- valued nonexpansive
In this paper we define the sequence space ℓ M ( u, p, q, s ) on a semi- normed complex linear space by using Orlicz function and we give various properties and some inclusion
