An adjacent-swap Markov chain on coalescent trees

DOI10.1017/jpr.2022.15zbMath1501.60038arXiv2012.08030OpenAlexW3111197559WikidataQ114118001 ScholiaQ114118001MaRDI QIDQ5049907

Julia A. Palacios, Mackenzie Simper

Publication date: 14 November 2022

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08030

zbMATH Keywords

random transpositionslumped Markov chainTajima distribution

Mathematics Subject Classification ID

Bayesian inference (62F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Coalescent processes (60J90)

Uses Software

• BEAST
• BEAUti

Cites Work

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• Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion
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• The coalescent
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• Random walks on trees and matchings
• Sequential importance sampling for multiresolution Kingman-Tajima coalescent counting
• Finding the best resolution for the Kingman-Tajima coalescent: theory and applications
• A note on the relaxation time of two Markov chains on rooted phylogenetic tree spaces
• Random doubly stochastic tridiagonal matrices
• Fast Convergence of Markov Chain Monte Carlo Algorithms for Phylogenetic Reconstruction with Homogeneous Data on Closely Related Species
• Matchings and phylogenetic trees
• Mixing Time for a Markov Chain on Cladograms
• Increasing trees and alternating permutations

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