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Viral Marketing Branching Processes
SSRN Electronic Journal, 2022 We consider the inherent timeline structure of the appearance of content in online social networks (OSNs) while studying content propagation. We model the propagation of a post/content of interest by an appropriate multi-type branching process. The branching process allows one to predict the emergence of global macro properties (e.g., the spread of a ...
Ranbir Dhounchak +2 more
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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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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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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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Non-Elementary Complexities for Branching VASS, MELL, and Extensions [PDF]
, 2014 We study the complexity of reachability problems on branching extensions of vector addition systems, which allows us to derive new non-elementary complexity bounds for fragments and variants of propositional linear logic.
Ranko Lazic +3 more
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On Neutron Branching Processes
Publications of the Research Institute for Mathematical Sciences, 1971 A statistical theory of the neutron transport process has been discussed by Harris [[I] and Mullikin Q7J. They considered the neutron population by generation rather than in real time and formulate them as a discretetime branching process. In this paper, we will formulate the neutron transport process as a continuous time branching process and study ...
Mori, Takakazu +2 more
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A Branching Process for Virus Survival [PDF]
Journal of Applied Probability, 2012 Quasispecies theory predicts that there is a critical mutation probability above which a viral population will go extinct. Above this threshold the virus loses the ability to replicate the best-adapted genotype, leading to a population composed of low replicating mutants that is eventually doomed.
Cox, J. Theodore, Schinazi, Rinaldo B
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The Lung Vasculature: A Driver or Passenger in Lung Branching Morphogenesis?
Frontiers in Cell and Developmental Biology, 2021 Multiple cellular, biochemical, and physical factors converge to coordinate organogenesis. During embryonic development, several organs such as the lung, salivary glands, mammary glands, and kidneys undergo rapid, but intricate, iterative branching. This
Yelda Pakize Kina +3 more
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The Annals of Mathematical Statistics, 1948 This paper is concerned with a simple mathematical model for a branching stochastic process. Using the language of family trees we may illustrate the process as follows. The probability that a man has exactly $r$ sons is $p_r, r = 0, 1, 2, \cdots$. Each of his sons (who together make up the first generation) has the same probabilities of having a given
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Intermittency in branching processes [PDF]
Zeitschrift für Physik C Particles and Fields, 1994 20 pages, UCLA93/TEP ...
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