A phase transition for a random cluster model on phylogenetic trees.

[1]  H. O. Florentino,et al.  An approach of the exact linearization techniques to analysis of population dynamics of the mosquito Aedes aegypti. , 2017, Mathematical biosciences.

[2]  Noga Alon,et al.  The Probabilistic Method , 2015, Fundamentals of Ramsey Theory.

[3]  Mike A. Steel,et al.  Four Characters Suffice to Convexly Define a Phylogenetic Tree , 2005, SIAM J. Discret. Math..

[4]  Elchanan Mossel.  Phase transitions in phylogeny , 2003, Transactions of the American Mathematical Society.

[5]  Tandy J. Warnow,et al.  Steps toward accurate reconstructions of phylogenies from gene-order data , 2002, J. Comput. Syst. Sci..

[6]  C. Gallut,et al.  Cladistic coding of genomic maps , 2002, Cladistics : the international journal of the Willi Hennig Society.

[7]  László A. Székely,et al.  Inverting Random Functions II: Explicit Bounds for Discrete Maximum Likelihood Estimation, with Applications , 2002, SIAM J. Discret. Math..

[8]  Charles Semple,et al.  Tree Reconstruction from Multi-State Characters , 2002, Adv. Appl. Math..

[9]  Tandy J. Warnow,et al.  New approaches for reconstructing phylogenies from gene order data , 2001, ISMB.

[10]  P. Holland,et al.  Rare genomic changes as a tool for phylogenetics. , 2000, Trends in ecology & evolution.

[11]  Y. Peres,et al.  Broadcasting on trees and the Ising model , 2000 .

[12]  O. Haggstrom,et al.  The random geometry of equilibrium phases , 1999, math/9905031.

[13]  László A. Székely,et al.  Inverting random functions , 1999 .

[14]  Elchanan Mossel.  Recursive reconstruction on periodic trees , 1998, Random Struct. Algorithms.

[15]  F. Sperling.  Molecular Systematics, 2nd ed. , 1997 .

[16]  P. Erdös,et al.  A few logs suffice to build (almost) all trees (l): part I , 1997 .

[17]  J. Ruiz,et al.  On the purity of the limiting gibbs state for the Ising model on the Bethe lattice , 1995 .

[18]  F. Papangelou.  GIBBS MEASURES AND PHASE TRANSITIONS (de Gruyter Studies in Mathematics 9) , 1990 .

[19]  Hans-Otto Georgii,et al.  Gibbs Measures and Phase Transitions , 1988 .

[20]  A. Dress,et al.  Reconstructing the shape of a tree from observed dissimilarity data , 1986 .

[21]  J. Nadeau,et al.  Lengths of chromosomal segments conserved since divergence of man and mouse. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[22]  H. Colonius,et al.  Tree structures for proximity data , 1981 .

[23]  J. M. Hammersley,et al.  Percolation , 1980, Advances in Applied Probability.

[24]  J. Crow,et al.  THE NUMBER OF ALLELES THAT CAN BE MAINTAINED IN A FINITE POPULATION. , 1964, Genetics.

[25]  Søren Asmussen.  Branching Processes: Variation, Growth and Extinction of Populations Edited by P. Haccou, P. Jagers, and V. A. Vatutin , 2006 .

[26]  J. Felsenstein.  Evolutionary trees from DNA sequences: A maximum likelihood approach , 2005, Journal of Molecular Evolution.

[27]  Elchanan Mossel,et al.  On the Impossibility of Reconstructing Ancestral Data and Phylogenies , 2003, J. Comput. Biol..

[28]  Bernard M. E. Moret,et al.  New approaches for reconstructing phylogenies based on gene order , 2001 .

[29]  P. Erdös,et al.  A few logs suffice to build (almost) all trees (I) , 1999, Random Struct. Algorithms.

[30]  Y. Peres.  Probability on Trees: An Introductory Climb , 1999 .

[31]  Michael Molloy,et al.  The Probabilistic Method , 1998 .

[32]  M. Halldórsson,et al.  Theoretical Computer Science , 2022 .