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The name comes form the planar case: a frontier rancher who is walking about and at each step increases his ranch by dragging with him the fence that defines it, so that the ranch
Abstract. The uniqueness of the non-negative fixed points of the associated smooth- ing transform is considered. New results on the asymptotic behaviour of the solutions near zero
Our aim in in this section is to show that in the case of metabelian groups the lower estimate (11) can be complemented with a similar upper bound. We keep the notation of §2.. §2)
In the case where all summands have the same conditional distribution given that they are non-zero, a bound on the relative entropy distance between their sum and the compound
Now, if the probability that a cell contains a poisson point is greater than 1 / 2, then the expected number of children to an individual is greater than 1 and so there is a
For a graph G , write Coex( G ) for the set of all λ ≥ 1 such that there exists an initial configuration ξ ∈ { 0, 1, 2 } V which has only finitely many infected sites of each type
d for d ≥ 2 with a positive Lyapunov exponent, and show that any nontrivial connected set almost surely contains points whose distance from the origin under the flow grows linearly
Although the result in [Bourgain et al., 1992] is stated in terms of influences and not in terms of threshold phenom- ena, the proof can be rephrased and slightly adapted to show
