Noah A. Rosenberg

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List of research outcomes

PublicationDate of PublicationType
Enumeration of rooted binary unlabeled galled trees2024-03-27Paper
A Mathematical Connection Between Single-Elimination Sports Tournaments and Evolutionary Trees2024-02-08Paper
Bijections between the multifurcating unlabeled rooted trees and the positive integers2024-01-29Paper
A Dirichlet Model of Alignment Cost in Mixed-Membership Unsupervised Clustering2024-01-22Paper
When is the allele-sharing dissimilarity between two populations exceeded by the allele-sharing dissimilarity of a population with itself?2024-01-05Paper
A lattice structure for ancestral configurations arising from the relationship between gene trees and species trees2024-01-02Paper
Mathematical bounds on Shannon entropy given the abundance of the \(i\)th most abundant taxon2023-11-23Paper
The distributions under two species-tree models of the total number of ancestral configurations for matching gene trees and species trees2023-10-30Paper
Mendel of Mathematics2023-01-16Paper
The distributions under two species-tree models of the number of root ancestral configurations for matching gene trees and species trees2022-12-20Paper
Limiting distribution of X-chromosomal coalescence times under first-cousin consanguineous mating2022-10-17Paper
Enumeration of binary trees compatible with a perfect phylogeny2022-05-20Paper
Distance metrics for ranked evolutionary trees2022-05-05Paper
A compendium of covariances and correlation coefficients of coalescent tree properties2022-04-26Paper
A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees2022-01-14Paper
Variance and limiting distribution of coalescence times in a diploid model of a consanguineous population2021-12-02Paper
The effect of consanguinity on coalescence times on the X chromosome2021-12-02Paper
Enumeration of coalescent histories for caterpillar species trees and \(p\)-pseudocaterpillar gene trees2021-09-29Paper
Assortative mating by population of origin in a mechanistic model of admixture2021-04-07Paper
On the Colijn-Plazzotta numbering scheme for unlabeled binary rooted trees2021-03-25Paper
On the heterozygosity of an admixed population2021-01-19Paper
A sharp minimum on the mean number of steps taken in adaptive walks2020-09-03Paper
\( F_{S T}\) and the triangle inequality for biallelic markers2020-06-04Paper
Roadblocked monotonic paths and the enumeration of coalescent histories for non-matching caterpillar gene trees and species trees2019-12-18Paper
The probability of reciprocal monophyly of gene lineages in three and four species2019-10-17Paper
Enumeration of compact coalescent histories for matching gene trees and species trees2019-03-29Paper
On the number of non-equivalent ancestral configurations for matching gene trees and species trees2019-03-26Paper
Mathematical and simulation-based analysis of the behavior of admixed taxa in the neighbor-joining algorithm2019-03-26Paper
Bounding measures of genetic similarity and diversity using majorization2019-03-01Paper
Enumeration of lonely pairs of gene trees and species trees by means of antipodal cherries2018-12-06Paper
Coalescent histories for discordant gene trees and species trees2018-12-05Paper
Inference on the strength of balancing selection for epistatically interacting loci2018-12-05Paper
On the joint distribution of tree height and tree length under the coalescent2018-08-01Paper
Consistency and inconsistency of consensus methods for inferring species trees from gene trees in the presence of ancestral population structure2017-06-15Paper
Enhancing the mathematical properties of new haplotype homozygosity statistics for the detection of selective sweeps2016-07-28Paper
Inference on the strength of balancing selection for epistatically interacting loci2016-06-22Paper
AABC: approximate approximate Bayesian computation for inference in population-genetic models2016-03-01Paper
Mathematical properties of \(F_{\mathrm{st}}\) between admixed populations and their parental source populations2015-03-13Paper
Coalescent histories for lodgepole species trees2015-03-11Paper
Upper bounds on \(F_{S T}\) in terms of the frequency of the most frequent allele and total homozygosity: the case of a specified number of alleles2015-01-20Paper
On the size distribution of private microsatellite alleles2014-10-20Paper
Theory and applications of a deterministic approximation to the coalescent model2014-09-24Paper
Genotype imputation in a coalescent model with infinitely-many-sites mutation2014-09-23Paper
Mean deep coalescence cost under exchangeable probability distributions2014-08-22Paper
The probability distribution of ranked gene trees on a species tree2012-07-05Paper
Refining the relationship between homozygosity and the frequency of the most frequent allele2012-02-24Paper
Mathematical properties of the \(r^{2}\) measure of linkage disequilibrium2011-01-05Paper
Population differentiation and migration: Coalescence times in a two-sex island model for autosomal and X-linked loci2011-01-05Paper
The probability distribution under a population divergence model of the number of genetic founding lineages of a population or species2007-11-05Paper
Sampling properties of homozygosity-based statistics for linkage disequilibrium2007-08-23Paper
Estimating change rates of genetic markers using serial samples: applications to the transposon IS6110 in Mycobacterium tuberculosis2006-10-31Paper
The mean and variance of the numbers of \(r\)-pronged nodes and \(r\)-caterpillars in Yule-generated genealogical trees2006-06-28Paper
Polyploid and multilocus extensions of the Wahlund inequality2005-09-28Paper
The probability of topological concordance of gene trees and species trees.2004-03-14Paper

Research outcomes over time


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