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Asymptotic behaviour of first passage time distributions for Levy processes
Levy processes first passage time distribution local limit theorems fluctuation theory
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2011/9/19
Abstract: Let $X$ be a real valued L\'evy process that is in the domain of attraction of a stable law without centering with norming function $c.$ As an analogue of the random walk results in \cite{vw...
The asymptotic shape, large deviations and dynamical stability in first-passage percolation on cones
The asymptotic shape dynamical stability cones Probability
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2011/9/2
Abstract: In this paper we consider first-passage percolation on certain subgraphs of the $\Z^d$ nearest neighbour graph. We present a three-fold extension of the Shape Theorem. Firstly, we show that ...
Asymptotics of first-passage percolation on 1-dimensional graphs
Asymptotics of first-passage percolation 1-dimensional graphs Probability
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2011/9/2
Abstract: In this paper we consider standard first-passage percolation on certain 1-dimensional periodic graphs. One such graph of particular interest is the $\Z\times\{0,1,...,K-1\}^{d-1}$ nearest ne...