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4 papers · 2 filters
Small value probabilities via the branching tree heuristic
Peter Morters, Marcel Ortgiese
In the first part of this paper we give easy and intuitive proofs for the small value probabilities of the martingale limit of a supercritical Galton-Watson process in both the Sch…
Multivariate normal approximation in geometric probability
Mathew D. Penrose, Andrew R. Wade
Consider a measure where the sum is over points of a Poisson point process of intensity on a bounded region in -space, and is a functional de…
Exponential growth rates in a typed branching diffusion
Y. Git, J. W. Harris, S. C. Harris
We study the high temperature phase of a family of typed branching diffusions initially studied in [Astérisque 236 (1996) 133--154] and [Lecture Notes in Math. 1729 (2000) 239--256…
Critical behavior and the limit distribution for long-range oriented percolation. I
Lung-Chi Chen, Akira Sakai
We consider oriented percolation on Z^d times Z_+ whose bond-occupation probability is pD(...), where p is the percolation parameter and D is a probability distribution on Z^d. Sup…