Asymptotic genealogy of a critical branching process

Keywords

Extant taxon, Branching process, Macroevolution, Branching (polymer chemistry), Point process

References

• Mathematical population geneticsMichel Benarie — 1981
• Continuous martingales and Brownian motionDaniel Revuz, Marc Yor — 1990
• An Invariance Principle for Random Walk Conditioned by a Late Return to ZeroW. D. Kaigh — 1976
• Mathematical Population GeneticsEllen Baake, Warren J. Ewens, Anton Wakolbinger — 1979
• Brownian excursions, trees and measure-valued branching processesJean‐François Le Gall — 1991
• An introduction to probability theoryBert Fristedt, P. A. P. Moran — 1968
• The genealogy of critical branching processesR. Durrett — 1978
• The Continuum Random Tree IIIDavid Aldous — 1991
• Asymptotic Genealogy of a Branching Process and a Model of MacroevolutionLea Popovic — 2003
• An Introduction to Probability Theory and Its Applications, Vol. 1Stephen M. Samuels, William Feller — 1967
• Diffusions, Markov Processes, and Martingales by L. C. G. RogersL. C. G. Rogers, David Williams — 2000
• CONVERGENCE OF PROBABILITY MEASURESK. R. Parthasarathy — 1970
• An Introduction to Probability Theory and Its ApplicationsL. H., William Feller — 1959
• An Introduction to Probability Theory and its ApplicationsJ. F. C. Kingmán, William Feller — 1958
• A Mathematical Theory of Evolution Based on the Conclusions of Dr. J. C. Willis, F.R.S.F. Y. E., George Yule — 1925
• Mathematics of genetic diversityC. C. Heyde, J. F. C. Kingmán — 1982
• An introduction to probability theory and its applications1958
• Mathematics of Genetic DiversityJ. F. C. Kingmán — 1980
• Lecture Notes in MathM. Wodzicki — 1984
• Marches aleatoires, mouvement brownien et processus de branchementJ. Gall — 1989

Cited by

• Quantifying Age-dependent Extinction from Species Phylogenies勝巳 松谷 — 2015
• Stochastic Models in Phylogenetic Comparative Methods: Analytical Properties and Parameter EstimationKrzysztof Bartoszek — 2013
• On the construction and topology of multi-type ancestral treesMariolys Rivas — 2014
• Théorèmes limites pour les processus de branchement avec mutationsCécile Delaporte — 2014
• A Complex Network Approach to Phylogenetic Trees: From Genes to the Tree of LifeT. Doctoral, E. Herrada, V. Eguíluz — 2010
• Sample genealogy and mutational patterns for critical branching populationsGuillaume Achaz, Cécile Delaporte, Amaury Lambert — 2014
• The Roles of Stochasticity and Life History in the Evolutionary Population Dynamics of PathogensHelen K. Alexander — 2014
• Stochastic pattern formation in growth models with spatial competitionAdnan Ali — 2012
• The Allelic Partition for Coalescent Point ProcessesAmaury Lambert — 2008
• ESTIMATING THE DURATION OF SPECIATION FROM PHYLOGENIESRampal S. Etienne, Hélène Morlon, Amaury Lambert — 2014
• Recovering speciation and extinction dynamics based on phylogeniesTanja Stadler — 2013
• Outbreak size distributions in epidemics with multiple stagesTibor Antal, P. L. Krapivsky — 2012
• Sampling-through-time in birth-death trees.Tanja Stadler — 2010
• On incomplete sampling under birth-death models and connections to the sampling-based coalescent.Tanja Stadler — 2009
• Population Dynamics and Random GenealogiesAmaury Lambert — 2008
• Interacting particle systems in time-dependent geometriesA.A. Ali, R. C. Ball, Stefan Großkinsky — 2013
• Sampling trees from evolutionary models.Klaas Hartmann, Dennis Wong, Tanja Stadler — 2010
• A phylogenetic comparative method for studying multivariate adaptation.Krzysztof Bartoszek, Jason Pienaar, Petter Mostad — 2012
• THE CONTOUR OF SPLITTING TREES IS A LÉVY PROCESSAmaury Lambert — 2007
• The conditioned reconstructed process.Tanja Gernhard — 2008

Related papers

• Calculations for multi-type age-dependent binary branching processesGraham Jones — 2011
• Critical branching captures activity in living neural networks and maximizes the number of metastable States.Clayton Haldeman, John M. Beggs — 2005
• Quasi-processes for branching Markov chainsSteffen Dereich, Martin Maiwald — 2021
• Poisson branching point processesKuniaki Matsuo, Malvin C. Teich, Bahaa E. A. Saleh — 1984
• A Model of Macroevolution as a Branching Process Based on InnovationsStephanie Keller-Schmidt, Konstantin Klemm — 2011
• Limit theorems for point processes generated in a general branching processMartin Härnqvist — 1981
• Limit theorems for point processes generated in a general branching processMartin Härnqvist — 1981
• Macroscopic and microscopic structures of the family tree for decomposable critical branching processesVladimir Vatutin — 2014