Results 21 to 30 of about 489,624 (317)
Mathematical Modelling and Analysis, 2010 In this paper, we consider the Monte Carlo method for finding the solution of nonlinear integral equations at a fixed point xo‐ In this method, simulated Galton‐Watson branching process is employed for solving the proposed integral equation.
Behrouz Fathi Vajargah, Mojtaba Moradi
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Asymptotic behavior of critical irreducible multi-type continuous state and continuous time branching processes with immigration [PDF]
, 2015 Under natural assumptions, a Feller type diffusion approximation is derived for critical, irreducible multi-type continuous state and continuous time branching processes with immigration.
Barczy, Matyas, Pap, Gyula
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A full lifespan model of vertebrate lens growth [PDF]
Royal Society Open Science, 2017 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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Transposed Branching Processes
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1954 Summary We shall show in this paper how, in studying the growth-rate of a deterministic branching process, a simple change of viewpoint, which is quite trivial theoretically, may nevertheless lead to surprising computational simplifications; and, in the course of this, we shall indicate a basis on which the generated population can ...
Hammersley, J. M., Morton, K. W.
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The coalescent point process of branching trees [PDF]
, 2013 We define a doubly infinite, monotone labeling of Bienayme-Galton-Watson (BGW) genealogies. The genealogy of the current generation backwards in time is uniquely determined by the coalescent point process $(A_i; i\ge 1)$, where $A_i$ is the coalescence ...
Lambert, Amaury, Popovic, Lea
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Simply generated trees, conditioned Galton―Watson trees, random allocations and condensation: Extended abstract [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 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 total mass of super-Brownian motion upon exiting balls and Sheu's compact support condition [PDF]
, 2013 We study the total mass of a d-dimensional super-Brownian motion as it first exits an increasing sequence of balls. The process of the total mass is a time-inhomogeneous continuous-state branching process, where the increasing radii of the balls are ...
Hesse, Marion, Kyprianou, Andreas E.
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The Height of List-tries and TST [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 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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Modeling of interstitial branching of axonal networks [PDF]
, 2013 A single axon can generate branches connecting with plenty synaptic targets. Process of branching is very important for making connections in central nervous system.
Gafarov, F. +2 more
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Estimating the risk of re-emergence after stopping polio vaccination
Frontiers in Microbiology, 2012 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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