Zobrazeno 1 - 10
of 191
pro vyhledávání: '"92B10"'
Autor:
Bienvenu, François
Models of random phylogenetic networks have been used since the inception of the field, but the introduction and rigorous study of mathematically tractable models is a much more recent topic that has gained momentum in the last 5 years. This manuscri
Externí odkaz:
http://arxiv.org/abs/2410.13574
Autor:
Frohn, Martin, Manson, Kerry
A phylogenetic tree is an edge-weighted binary tree, with leaves labelled by a collection of species, that represents the evolutionary relationships between those species. For such a tree, a phylogenetic diversity index is a function that apportions
Externí odkaz:
http://arxiv.org/abs/2409.15641
In recent years, there has been an effort to extend the classical notion of phylogenetic balance, originally defined in the context of trees, to networks. One of the most natural ways to do this is with the so-called $B_2$ index. In this paper, we st
Externí odkaz:
http://arxiv.org/abs/2407.19454
Autor:
Pittel, Boris
Colloquially, there are two groups, $n$ men and $n$ women, each man (woman) ranking women (men) as potential marriage partners. A complete matching is called stable if no unmatched pair prefer each other to their partners in the matching. If some pai
Externí odkaz:
http://arxiv.org/abs/2406.10319
Good representations for phylogenetic trees and networks are important for optimizing storage efficiency and implementation of scalable methods for the inference and analysis of evolutionary trees for genes, genomes and species. We introduce a new re
Externí odkaz:
http://arxiv.org/abs/2405.07110
Autor:
Ndlovu, Meshach
This paper presents a compartmental model for the transmission dynamics of Anaplasmosis in resource limited farmers cattle subjected to a biological control method. The study seeks to evaluate the stability and control of cattle herds dynamics relati
Externí odkaz:
http://arxiv.org/abs/2404.17603
Autor:
Kolesnik, Brett
The critical beta-splitting tree, introduced by Aldous, is a Markov branching phylogenetic tree of poly-logarithmic height. Recently, by a technical analysis, Aldous and Pittel proved, amongst other results, a central limit theorem for the height $H_
Externí odkaz:
http://arxiv.org/abs/2404.16021
Algebraic techniques in phylogenetics have historically been successful at proving identifiability results and have also led to novel reconstruction algorithms. In this paper, we study the ideal of phylogenetic invariants of the Cavender-Farris-Neyma
Externí odkaz:
http://arxiv.org/abs/2312.07450
Fr\'echet means of samples from a probability measure $\mu$ on any smoothly stratified metric space M with curvature bounded above are shown to satisfy a central limit theorem (CLT). The methods and results proceed by introducing and proving analytic
Externí odkaz:
http://arxiv.org/abs/2311.09455
Variation of empirical Fr\'echet means on a metric space with curvature bounded above is encoded via random fields indexed by unit tangent vectors. A central limit theorem shows these random tangent fields converge to a Gaussian such field and lays t
Externí odkaz:
http://arxiv.org/abs/2311.09454