Results 281 to 290 of about 220,579 (315)
Feature Engineering for the Prediction of Scoliosis in 5q-Spinal Muscular Atrophy. [PDF]
J Cachexia Sarcopenia MuscleVu-Han TL +9 more
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A generative model of the connectome with dynamic axon growth. [PDF]
Netw NeurosciLiu Y +6 more
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Simulation of clinical trials of oral treprostinil in pulmonary arterial hypertension using a virtual population. [PDF]
NPJ Syst Biol ApplStine AE +5 more
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A note on the branching random walk [PDF]
Journal of Applied Probability, 1982 A well-known theorem in the theory of branching random walks is shown to hold when only Σj log jpj <∞. This result was asserted by Athreya and Kaplan (1978), but their proof was incorrect.
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2010
A branching random walk is a branching tree such that with each line of descent a random walk is associated. This paper provides some results on the asymptotics of the point processes generated by the positions of the nth generation individuals. An application to the photon–electron energy cascade is also given.
Krishna B. Athreya, Krishna B. Athreya
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A branching random walk is a branching tree such that with each line of descent a random walk is associated. This paper provides some results on the asymptotics of the point processes generated by the positions of the nth generation individuals. An application to the photon–electron energy cascade is also given.
Krishna B. Athreya, Krishna B. Athreya
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2015
I Introduction.- II Galton-Watson trees.- III Branching random walks and martingales.- IV The spinal decomposition theorem.- V Applications of the spinal decomposition theorem.- VI Branching random walks with selection.- VII Biased random walks on Galton-Watson trees.- A Sums of i.i.d. random variables.- References.
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I Introduction.- II Galton-Watson trees.- III Branching random walks and martingales.- IV The spinal decomposition theorem.- V Applications of the spinal decomposition theorem.- VI Branching random walks with selection.- VII Biased random walks on Galton-Watson trees.- A Sums of i.i.d. random variables.- References.
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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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Branching random walks with random environments in time
Frontiers of Mathematics in China, 2014We consider a branching random walk on $\mathbb{R}$ with a random environment in time (denoted by $\xi$). Let $Z_n$ be the counting measure of particles of generation $n$ and $\tilde Z_n (t)$ be its Laplace transform.We show the convergence of the free energy $ n^{-1}{\log \tilde Z_n(t)}$, large deviation principles and central limit theorems for the ...
Xingang Liang +3 more
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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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