Results 21 to 30 of about 247,191 (215)
Translated Poisson approximation to equilibrium distributions of Markov population processes [PDF]
The paper is concerned with the equilibrium distributions of continuous-time density dependent Markov processes on the integers. These distributions are known typically to be approximately normal, and the approximation error, as measured in Kolmogorov ...
A Röllin +7 more
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Extremes of some Gaussian random interfaces [PDF]
In this article we give a general criterion for some dependent Gaussian models to belong to maximal domain of attraction of Gumbel, following an application of the Stein-Chen method studied in Arratia et al(1989).
Chiarini, Alberto +2 more
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Symmetric motifs in random geometric graphs [PDF]
We study symmetric motifs in random geometric graphs. Symmetric motifs are subsets of nodes which have the same adjacencies. These subgraphs are particularly prevalent in random geometric graphs and appear in the Laplacian and adjacency spectrum as sharp,
Dettmann, Carl P., Knight, Georgie
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Extremes of the supercritical Gaussian Free Field [PDF]
We show that the rescaled maximum of the discrete Gaussian Free Field (DGFF) in dimension larger or equal to 3 is in the maximal domain of attraction of the Gumbel distribution.
Chiarini, Alberto +2 more
core +4 more sources
Compound Poisson Approximation and Testing for Gene Clusters with Multigene Families [PDF]
International audienceWe present in this article a compound Poisson approximation for computing probabilities involved in significance tests for conserved genomic regions between different species.
Chabrol, Olivier +3 more
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Poisson approximations for the Ising model
A $d$-dimensional Ising model on a lattice torus is considered. As the size $n$ of the lattice tends to infinity, a Poisson approximation is given for the distribution of the number of copies in the lattice of any given local configuration, provided the ...
A. D. Barbour +13 more
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Upper bounds for spatial point process approximations [PDF]
We consider the behavior of spatial point processes when subjected to a class of linear transformations indexed by a variable T. It was shown in Ellis [Adv. in Appl. Probab.
Schuhmacher, Dominic
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Weak disorder in the stochastic mean-field model of distance II [PDF]
In this paper, we study the complete graph $K_n$ with n vertices, where we attach an independent and identically distributed (i.i.d.) weight to each of the n(n-1)/2 edges.
Bhamidi, Shankar +2 more
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Poisson approximation for search of rare words in DNA sequences [PDF]
Using recent results on the occurrence times of a string of symbols in a stochastic process with mixing properties, we present a new method for the search of rare words in biological sequences generally modelled by a Markov chain.
Abadi, Miguel, Vergne, Nicolas
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The distribution of minimum-weight cliques and other subgraphs in graphs with random edge weights [PDF]
We determine, asymptotically in n, the distribution and mean of the weight of a minimum-weight k-clique (or any strictly balanced graph H) in a complete graph Kn whose edge weights are independent random values drawn from the uniform distribution or ...
Frieze, Alan +2 more
core +2 more sources

