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Open AccessDissertation

Branching Processes with Biological Applications

Xiaowei Wu
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The article was published on 2010-01-01 and is currently open access. It has received 225 citations till now.

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Journal ArticleDOI

Recursive Markov chains, stochastic grammars, and monotone systems of nonlinear equations

TL;DR: It is shown that the PSPACE upper bounds cannot be substantially improved without a breakthrough on long standing open problems: the square-root sum problem and an arithmetic circuit decision problem that captures P-time on the unit-cost rational arithmetic RAM model.
Journal ArticleDOI

Stochastic epidemic models: a survey.

TL;DR: A simple stochastic epidemic model is defined and exact and asymptotic (relying on a large community) properties are presented and several generalizations towards realism are presented.
Book ChapterDOI

An Introduction to Stochastic Epidemic Models

TL;DR: In this article, a brief introduction to the formulation of various types of stochastic epidemic models is presented based on the well-known deterministic SIS and SIR epidemic models.
Journal ArticleDOI

A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis.

TL;DR: Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented and well-known examples are used for illustration such as an SIR epidemic model and a host-vector malaria model.
DissertationDOI

Multivariate Hawkes processes

TL;DR: This thesis addresses theoretical and practical questions arising in connection with multivariate, marked, linear Hawkes processes, including the calculation of moment measures; and the existence and uniqueness of stationary solutions.
References
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Journal ArticleDOI

Evolution in Mendelian Populations.

TL;DR: Page 108, last line of text, for "P/P″" read "P′/ P″."
Book

Statistical Inference