Results 291 to 300 of about 220,579 (315)
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Stochasticity, invasions, and branching random walks
Theoretical Population Biology, 2004We link deterministic integrodifference equations to stochastic, individual-based simulations by means of branching random walks. Using standard methods, we determine speeds of invasion for both average densities and furthest-forward individuals.
D. Brian Walton +3 more
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Discounted branching random walks
Advances in Applied Probability, 1985Let F(·) be a c.d.f. on [0,∞), f(s) = ∑∞0pjsi a p.g.f. with p0 = 0, < 1 < m = Σjpj < ∞ and 1 < ρ <∞. For the functional equation for a c.d.f. H(·) on [0,∞] we establish that if 1 – F(x) = O(x–θ) for some θ > α =(log m)/(log p) there exists a unique solution H(·) to (∗) in the class C of c.d.f.’s satisfying 1 – H(x) = o(x–α).We give a
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Branching Random Walks with Immigration
2017The paper contains several results on the existence of limits for the first two moments of the popular model in the population dynamics: continuous-time branching random walks on the multidimensional lattice \(\mathbb Z^d\), \(d\ge 1\), with immigration and infinite number of initial particles.
Stanislav Molchanov +3 more
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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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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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Branching Random Walks and Martingales
2015The Galton–Watson branching process counts the number of particles in each generation of a branching process. In this chapter, we produce an extension, in the spatial sense, by associating each individual of the branching process with a random variable. This results in a branching random walk.
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Multiparametric prostate magnetic resonance imaging in the evaluation of prostate cancer
Ca-A Cancer Journal for Clinicians, 2016Baris Turkbey +2 more
exaly
Inhibition of shoot branching by new terpenoid plant hormones
Nature, 2008Mikihisa Umehara +2 more
exaly