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19942026
Showing 2004 · math.PRShow all

7 papers · 2 filters

math.PR2004★ 1 cited

Deviations of a random walk in a random scenery with stretched exponential tails

Remco van der Hofstad, Nina Gantert, Wolfgang König

Let (Z_n)_{n\in\N_0} be a d-dimensional random walk in random scenery, i.e., Z_n=\sum_{k=0}^{n-1}Y_{S_k} with (S_k)_{k\in\N_0} a random walk in Z^d and (Y_z)_{z\in Z^d} an i.i.d. s…

math.PR2004★ 84 cited

Distances in random graphs with finite variance degrees

Remco van der Hofstad, Gerard Hooghiemstra, Piet Van Mieghem

In this paper we study a random graph with nodes, where node has degree and are i.i.d. with $\prob(D_j\leq x)=F(x)$. We assume that $1-F(x)\leq c x^…

math.PR2004★ 24 cited

Exact asymptotics for fluid queues fed by multiple heavy-tailed on-off flows

Bert Zwart, Sem Borst, Michel Mandjes

We consider a fluid queue fed by multiple On-Off flows with heavy-tailed (regularly varying) On periods. Under fairly mild assumptions, we prove that the workload distribution is a…

math.PR2004★ 3 cited

Infinite canonical super-Brownian motion and scaling limits

Remco van der Hofstad

We construct a measure valued Markov process which we call infinite canonical super-Brownian motion, and which corresponds to the canonical measure of super-Brownian motion conditi…

math.PR2004★ 3 cited

Random subgraphs of finite graphs: III. The phase transition for the -cube

Christian Borgs, Jennifer T. Chayes, Remco van der Hofstad +2

We study random subgraphs of the -cube , where nearest-neighbor edges are occupied with probability . Let be the value of for which the expected clust…

math.PR2004

Random subgraphs of finite graphs: II. The lace expansion and the triangle condition

Christian Borgs, Jennifer T. Chayes, Remco van der Hofstad +2

In a previous paper, we defined a version of the percolation triangle condition that is suitable for the analysis of bond percolation on a finite connected transitive graph, and sh…

math.PR2004★ 89 cited

Random subgraphs of finite graphs: I. The scaling window under the triangle condition

Christian Borgs, Jennifer T. Chayes, Remco van der Hofstad +2

We study random subgraphs of an arbitrary finite connected transitive graph obtained by independently deleting edges with probability . Let be the number of ve…