Evans, Steven N. (Steven Neil)
Overview
Works:  6 works in 34 publications in 1 language and 830 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author 
Classifications:  QA166.2, 511.52 
Publication Timeline
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Most widely held works by
Steven N Evans
Probability and real trees : École d'Été de Probabilités de SaintFlour XXXV2005 by
Steven N Evans(
Book
)
16 editions published between 2007 and 2008 in English and held by 266 WorldCat member libraries worldwide
"Random trees and treevalued stochastic processes are of particular importance in combinatorics, computer science, phylogenetics, and mathematical population genetics. Using the framework of abstract "treelike" metric spaces (socalled real trees) and ideas from metric geometry such as the GromovHausdorff distance, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behaviour of such objects when the number of vertices goes to infinity. These notes survey the relevant mathematical background and present some selected applications of the theory."Jacket
16 editions published between 2007 and 2008 in English and held by 266 WorldCat member libraries worldwide
"Random trees and treevalued stochastic processes are of particular importance in combinatorics, computer science, phylogenetics, and mathematical population genetics. Using the framework of abstract "treelike" metric spaces (socalled real trees) and ideas from metric geometry such as the GromovHausdorff distance, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behaviour of such objects when the number of vertices goes to infinity. These notes survey the relevant mathematical background and present some selected applications of the theory."Jacket
A mutationselection model with recombination for general genotypes by
Steven N Evans(
Book
)
12 editions published between 2012 and 2013 in English and held by 124 WorldCat member libraries worldwide
"We investigate a continuous time, probability measurevalued dynamical system that describes the process of mutationselection balance in a context where the population is infinite, there may be infinitely many loci, and there are weak assumptions on selective costs. Our model arises when we incorporate very general recombination mechanisms into an earlier model of mutation and selection presented by Steinsaltz, Evans and Wachter in 2005 and take the relative strength of mutation and selection to be sufficiently small. The resulting dynamical system is dynamical system a flow of measures on the space of loci. Each such measure is the intensity measure of a Poisson random measure on the space of loci: intensity measure the points of a realization of the random measure record the set of loci at which the genotype of a uniformly chosen individual differs from a reference wild type due to an accumulation of ancestral mutations. Our motivation for working in such a general setting is to provide a basis for understanding mutationdriven changes in agespecific demographic schedules that arise from the complex interaction of many genes, and hence to develop a framework for understanding the evolution of aging. We establish the existence and uniqueness of the dynamical system, provide conditions for the existence and stability of equilibrium states, and prove that our continuoustime dynamical system is the limit of a sequence of discretetime infinite population mutationselectionrecombination models in the standard asymptotic regime where selection and mutation are weak relative to recombination and both scale at the same infinitesimal rate in the limit."
12 editions published between 2012 and 2013 in English and held by 124 WorldCat member libraries worldwide
"We investigate a continuous time, probability measurevalued dynamical system that describes the process of mutationselection balance in a context where the population is infinite, there may be infinitely many loci, and there are weak assumptions on selective costs. Our model arises when we incorporate very general recombination mechanisms into an earlier model of mutation and selection presented by Steinsaltz, Evans and Wachter in 2005 and take the relative strength of mutation and selection to be sufficiently small. The resulting dynamical system is dynamical system a flow of measures on the space of loci. Each such measure is the intensity measure of a Poisson random measure on the space of loci: intensity measure the points of a realization of the random measure record the set of loci at which the genotype of a uniformly chosen individual differs from a reference wild type due to an accumulation of ancestral mutations. Our motivation for working in such a general setting is to provide a basis for understanding mutationdriven changes in agespecific demographic schedules that arise from the complex interaction of many genes, and hence to develop a framework for understanding the evolution of aging. We establish the existence and uniqueness of the dynamical system, provide conditions for the existence and stability of equilibrium states, and prove that our continuoustime dynamical system is the limit of a sequence of discretetime infinite population mutationselectionrecombination models in the standard asymptotic regime where selection and mutation are weak relative to recombination and both scale at the same infinitesimal rate in the limit."
Cluster formation in a stepping stone model with continuous, hierarchically structured sites(
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Transition operators of diffusions reduce zerocrossing by
Steven N Evans(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
A different construction of Gaussian fields from Markov chains : dirichlet covariances by
Persi Diaconis(
Book
)
2 editions published in 2001 in English and held by 1 WorldCat member library worldwide
2 editions published in 2001 in English and held by 1 WorldCat member library worldwide
Immanants and finite point processes by
Persi Diaconis(
Book
)
2 editions published in 2000 in English and held by 1 WorldCat member library worldwide
2 editions published in 2000 in English and held by 1 WorldCat member library worldwide
Audience Level
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Associated Subjects
Combinatorial analysis Dirichlet forms Distribution (Probability theory) Evolutionary genetics Evolutionary geneticsMathematical models Genetic recombination Geometry Hausdorff measures Markov processes Mathematical statistics Mathematics Metric spaces Mutation (Biology) Percolation (Statistical physics) Probabilities Scaling laws (Statistical physics) Stochastic processes Trees (Graph theory)