Rigorous bounds for the bond percolation critical probability are determined for three Archimedean lattices: .7385 < pc((3, 122 ) bond) < .7449, .6430 < pc((4, 6, 12) bon...
Let be a finite index set and k 1 a given integer. Let further S []k be an arbitrary family of k element subsets of . Consider a (binomial) random subset p of , where p = (pi :...
: Suppose that independent U 0 1 weights are assigned to the d 2 n2 edges of the complete d-partite graph with n vertices in each of the d = maximal independent sets. Then the expe...
In this paper we study the covariance structure of the number of nodes k and l steps away from the root in random recursive trees. We give an analytic expression valid for all k, ...
Remco van der Hofstad, Gerard Hooghiemstra, Piet V...
Given any measure-preserving dynamical system (Y, A , , T) and g Lp() , we study convergence of the sequence 1 n n k=1 g TSk , n 1 where Sk is a dynamic Zr -valued random w...