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Branching random walks in random environment
2021We consider branching particle processes on discrete structures like the hypercube in a random fitness landscape (i.e. random branching/killing rates). The main question is about the location where the main part of the population sits at a late time, if the state space is large. For answering this, we take the expectation with respect to the migration (
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1991
In a volume dedicated to Ted Harris, it is appropriate that there should be some discussion of branching processes, a subject of which he is one of the founders. In a series of papers in the 1940’s and 50’s (see references [1] to [9] at the end of this paper), culminating in his famous 1963 book “The Theory of Branching Processes” [10], he helped to ...
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In a volume dedicated to Ted Harris, it is appropriate that there should be some discussion of branching processes, a subject of which he is one of the founders. In a series of papers in the 1940’s and 50’s (see references [1] to [9] at the end of this paper), culminating in his famous 1963 book “The Theory of Branching Processes” [10], he helped to ...
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2014
In this chapter we consider a continuous time spatial branching process. Births and deaths are as in the binary branching process. In addition we keep track of the spatial location of the particles. We use results about the binary branching process.
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In this chapter we consider a continuous time spatial branching process. Births and deaths are as in the binary branching process. In addition we keep track of the spatial location of the particles. We use results about the binary branching process.
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Noble-Metal Based Random Alloy and Intermetallic Nanocrystals: Syntheses and Applications
Chemical Reviews, 2021Ming Zhou, Can Li, Jiye Fang
exaly
Application to Branching Random Walk
2016The purpose of this chapter is two-fold. First, we obtain a criterion for uniform integrability of intrinsic martingales \((W_{n})_{n\in \mathbb{N}_{0}}\) in the branching random walk as a corollary to Theorem 2.1.1 that provides a criterion for the a.s. finiteness of perpetuities.
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Mechanical properties and deformation mechanisms of gradient nanostructured metals and alloys
Nature Reviews Materials, 2020Xiaoyan Li, Lei Lu, Jianguo Li
exaly
Branching Random Walks with Selection
2015We have studied so far various asymptotic properties of the branching random walk by means of the spinal decomposition theorem. We are now facing at two very short chapters where the branching random walk intervenes in more complicated models; these topics are close to my current research work.
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