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The Annals of applied probability, ISSN 1050-5164, 2018, Volume 28, Issue 4, pp. 2451 - 2500
Polynomial jump-diffusions constitute a class of tractable stochastic models with wide applicability in areas such as mathematical finance and population... 
Stochastic models with jumps | Wright–Fisher diffusion | Stochastic invariance | Unit simplex | Polynomial processes | unit simplex | ONE-DIMENSION | stochastic models with jumps | Wright-Fisher diffusion | STATISTICS & PROBABILITY | MOMENTUM PROBLEM | stochastic invariance
Journal Article
Systematic Biology, ISSN 1063-5157, 2017, Volume 66, Issue 1, pp. e30 - e46
Journal Article
Journal of applied probability, ISSN 0021-9002, 09/2013, Volume 50, Issue 3, pp. 741 - 759
We present a new model for seed banks, where direct ancestors of individuals may have lived in the near as well as the very far past. The classical... 
Kingman coalescent | Seed bank | Wright-Fisher model | Long-range interaction | Renewal process | Wright‒Fisher model | seed bank | 92D15 | long-range interaction | 60K05 | renewal process
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 08/2017, Volume 479, pp. 379 - 395
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 2, pp. 1049 - 1081
We consider two population models subject to the evolutionary forces of selection and mutation, the Moran model and the Λ-Wright–Fisher model. In such models... 
Bolthausen–Sznitman coalescent | Wright–Fisher model | Kingman coalescent | Star-shaped coalescent | Moran model | GRAPH | COALESCENT | MATHEMATICS, APPLIED | FIXATION LINE | HITTING PROBABILITIES | Wright-Fisher model | MATHEMATICS | SEED BANK | Bolthausen-Sznitman coalescent | DUALITY | COMMON ANCESTOR PROCESS
Journal Article
The Annals of applied probability, ISSN 1050-5164, 8/2015, Volume 25, Issue 4, pp. 1936 - 1992
We pursue the task of developing a finite population counterpart to Eigen's model. We consider the classical Wright–Fisher model describing the evolution of a... 
Critical population | Error threshold | Wright-Fisher | Sharp peak | error threshold | STATISTICS & PROBABILITY | Wright Fisher | EVOLUTION | sharp peak | Wright–Fisher | 60F10 | 92D25
Journal Article
Annals of Applied Probability, ISSN 1050-5164, 06/2017, Volume 27, Issue 3, pp. 1923 - 1950
The two-parameter Poisson-Dirichlet diffusion, introduced in 2009 by Petrov, extends the infinitely-many-neutral-alleles diffusion model, related to Kingman's... 
Weak convergence | Reinforcement | Two-parameter Poisson-Dirichlet distribution | Wright-Fisher model | Infinite-dimensional diffusion process | Migration | INFINITE-DIMENSIONAL DIFFUSIONS | migration | STATISTICS & PROBABILITY | two-parameter Poisson-Dirichlet distribution | reinforcement | weak convergence
Journal Article
Journal Article
MOLECULAR BIOLOGY AND EVOLUTION, ISSN 0737-4038, 04/2019, Volume 36, Issue 4, pp. 834 - 851
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 01/2015, Volume 125, Issue 1, pp. 272 - 293
We consider the classical Wright–Fisher model with mutation and selection. Mutations occur independently in each locus, and selection is performed according to... 
Quasispecies | Wright–Fisher model | Error threshold | Wright-Fisher model | STATISTICS & PROBABILITY | EVOLUTION | FINITE POPULATIONS
Journal Article
Journal of theoretical biology, ISSN 0022-5193, 2013, Volume 330, pp. 18 - 25
Neutral evolution is a frequently used model to analyse changes in frequencies of cultural variants over time. Variants are chosen to be copied according to... 
Wright–Fisher model | Markov chains | Neutral model | Conformity | Linear pottery culture | Wright-Fisher model | TRANSMISSION | ALLELES | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | STYLE | EWENS SAMPLING DISTRIBUTION | DRIFT | Biological Evolution | Models, Biological | Archaeology | Analysis
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2018, Volume 328, pp. 132 - 150
We are interested in the numerical approximation of non-linear stochastic differential equations (SDEs) with solution in a certain domain. Our goal is to... 
Semi-discrete method | Boundary preserving numerical algorithm | Wright–Fisher model | Non-linear SDEs | Explicit numerical scheme | Strong approximation error | MATHEMATICS, APPLIED | ALLELE FREQUENCIES | MUTATION | Wright-Fisher model | Models | Population biology | Analysis
Journal Article
Molecular Biology and Evolution, ISSN 0737-4038, 11/2016, Volume 33, Issue 11, pp. 3002 - 3027
Journal Article
Journal Article
Journal of Mathematical Biology, ISSN 0303-6812, 3/2019, Volume 78, Issue 4, pp. 1211 - 1224
Journal Article