Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Random trees and tree-valued stochastic processes are of particular importance in combinatorics, computer science, phylogenetics, and mathematical population genetics. Using the framework of abstract "tree-like" metric spaces (so-called real trees) and ideas from metric geometry such as the Gromov-Hausdorff 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.

Trees (Graph theory) --- Markov processes --- Stochastic processes --- Metric spaces --- Hausdorff measures --- Dirichlet forms --- Phylogeny --- Evolutionary genetics --- Mathematical Statistics --- Algebra --- Mathematics --- Physical Sciences & Mathematics --- Mathematical models --- Phylogenèse --- Génétique évolutive --- Processus stochastiques --- Modèles mathématiques --- Genetic evolution --- Animal phylogeny --- Animals --- Phylogenetics --- Phylogeny (Zoology) --- Forms, Dirichlet --- Spaces, Metric --- Mathematics. --- Geometry. --- Probabilities. --- Combinatorics. --- Probability Theory and Stochastic Processes. --- Combinatorics --- Mathematical analysis --- Euclid's Elements --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Math --- Science --- Evolution (Biology) --- Genetics --- Biology --- Forms (Mathematics) --- Generalized spaces --- Set theory --- Topology --- Measure theory --- Graph theory --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Discrete mathematics --- Genetics --- Evolutionary genetics. --- Mutation (Biology) --- Genetic recombination. --- Génétique évolutive --- Mutation (Biologie) --- Recombinaison génétique --- 51 <082.1> --- Mathematics--Series --- Génétique évolutive --- Recombinaison génétique --- Evolutionary genetics --- Genetic recombination --- Variation (Biology) --- Recombination, Genetic --- Chromosomes --- Recombinant DNA --- Genetic evolution --- Evolution (Biology)