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Our techniques here are somewhat similar in spirit to those in [18] in that they are based on establishing a transference princi- ple , in this case from Roth’s theorem [29]
In this paper, we consider the problem of describing the possible exponents of boolean primitive..
In this section we prove Proposition 2.3 on the representation of the canonical Palm distribution of the historical process and we prove Theorem 3 on the properties of the
In this paper, we generalize the asymptotic result of Esseen (1958) concerning the Wasserstein distance of order one in the mean central limit theorem to the Wasserstein distances
The main result of this paper is the following local limit theorem for the joint distribution of the vector ( |C1| ,. , |C k | ) in the Erd˝ os-Rényi random graph:.. Theorem 1.1
This version of the algorithm Context does not distinguish transition probabilities which are closer than the threshold level used in the pruning decision. Our first theorem proves
Key words: Parabolic Anderson model, catalytic random medium, exclusion process, Lya- punov exponents, intermittency, large deviations, graphical representation.. AMS 2000
The main step in the proof of Theorem 1 (ii) will be Theorem 10 below, which states that within a cube of appropriate size, the final configuration of the model resembles
