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Self-Similarity in Population Dynamics: Surname Distributions and Genealogical Trees
The frequency distribution of surnames turns out to be a relevant issue not only in historical demography but also in population biology, and especially in genetics, since surnames tend to behave like neutral genes and propagate like Y chromosomes.
Paolo Rossi
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CALCULATION OF WEIGHT COEFFICIENTS IN CONTINUOUS PARTICLE FILTER
This article shows the relationship between filters based on modeling of the random process paths with terminating and branching and a continuous particle filter that are related to sequential Monte Carlo methods.
K. A. Rybakov
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Limiting Behaviors of Stochastic Spread Models Using Branching Processes
In this paper, we introduce a spread model using multi-type branching processes to investigate the evolution of the population during a pandemic in which individuals are classified into different types.
Jyy-I Hong
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A full lifespan model of vertebrate lens growth [PDF]
The mathematical determinants of vertebrate organ growth have yet to be elucidated fully. Here, we utilized empirical measurements and a dynamic branching process-based model to examine the growth of a simple organ system, the mouse lens, from E14.5 ...
Hrvoje Šikić+3 more
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Estimating the risk of re-emergence after stopping polio vaccination
Live vaccination against polio has effectively prevented outbreaks in most developed countries for more than 40 years, and there remain only a few countries where outbreaks of poliomyelitis by the wild strain still threaten the community.
Akira eSasaki+3 more
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Intermittency in branching processes [PDF]
20 pages, UCLA93/TEP ...
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The branching process with logistic growth [PDF]
In order to model random density-dependence in population dynamics, we construct the random analogue of the well-known logistic process in the branching process' framework.
Lambert, Amaury
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A Predator–Prey Two-Sex Branching Process
In this paper, we present the first stochastic process to describe the interaction of predator and prey populations with sexual reproduction. Specifically, we introduce a two-type two-sex controlled branching model.
Cristina Gutiérrez, Carmen Minuesa
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Simply generated trees, conditioned Galton―Watson trees, random allocations and condensation: Extended abstract [PDF]
We give a unified treatment of the limit, as the size tends to infinity, of random simply generated trees, including both the well-known result in the standard case of critical Galton-Watson trees and similar but less well-known results in the other ...
Svante Janson
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The Height of List-tries and TST [PDF]
We characterize the asymptotics of heights of the trees of de la Briandais and the ternary search trees (TST) of Bentley and Sedgewick. Our proof is based on a new analysis of the structure of tries that distinguishes the bulk of the tree, called the ...
N. Broutin, L. Devroye
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