From Derrida's random energy model to branching random walks: from 1 to 3
, 2015 We study the extremes of a class of Gaussian fields with in-built hierarchical structure. The number of scales in the underlying trees depends on a parameter alpha in [0,1]: choosing alpha=0 yields the random energy model by Derrida (REM), whereas alpha ...
Kistler, Nicola, Schmidt, Marius A.
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Branching Particle Representation of a Class of Semilinear Equations [PDF]
, 2004 2000 Mathematics Subject Classification: 60J80, 60J85We review several probabilistic techniques that were developed in a series of papers to study blowup properties of positive (mild) solutions of semilinear equations.
Lopez-Mimbela, Jose Alfredo
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Some Probabilistic Results in a Bisexual Branching Process with Immigration [PDF]
, 2007 2000 Mathematics Subject Classification: 60J80.A bisexual branching process with immigration of females and males is introduced. It is allowed, in each generation, that the mating function and the probability distributions associated to the offspring and
del Puerto, I., Molina, M., Ramos, A.
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The speed of invasion in an advancing population. [PDF]
J Math Biol, 2023 Bovier A, Hartung L.
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Haldane's formula in Cannings models: the case of moderately strong selection. [PDF]
J Math Biol, 2021 Boenkost F +3 more
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On the tail of the branching random walk local time. [PDF]
Probab Theory Relat Fields, 2021 Angel O, Hutchcroft T, Járai A.
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From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics. [PDF]
J Math Biol, 2022 Foutel-Rodier F +11 more
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The coalescent tree of a Markov branching process with generalised logistic growth. [PDF]
J Math Biol, 2022 Cheek D.
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Contact tracing & super-spreaders in the branching-process model. [PDF]
J Math Biol, 2023 Müller J, Hösel V.
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Large time asymptotics for the density of a branching Wiener process
, 2004 Given an R^d-valued supercritical branching Wiener process, let D(A,T) be the number of particles in a subset A of R^d at time T, (T=0,1,2,...). We provide a complete asymptotic expansion of D(A,T) as T goes to infinity, generalizing the work of X ...
Rosen, Jay, Révész, Pál, Shi, Zhan
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