Broutin, Nicolas; Devroye, Luc; Lugosi, Gábor; Imbuzeiro Oliveira, Roberto Subtractive random forests. (English) Zbl 1540.60015 ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 575-591 (2024). MSC: 60C05 60J80 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Henry, Benoît; Méléard, Sylvie; Tran, Viet Chi Time reversal of spinal processes for linear and non-linear branching processes near stationarity. (English) Zbl 1519.92195 Electron. J. Probab. 28, Paper No. 32, 27 p. (2023). MSC: 92D25 92D15 60J85 35Q92 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Baake, E.; Esercito, L.; Hummel, S. Lines of descent in a Moran model with frequency-dependent selection and mutation. (English) Zbl 1510.60085 Stochastic Processes Appl. 160, 409-457 (2023). MSC: 60K35 92D15 60J25 60J27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cordero, Fernando; Hummel, Sebastian; Schertzer, Emmanuel General selection models: Bernstein duality and minimal ancestral structures. (English) Zbl 1503.60143 Ann. Appl. Probab. 32, No. 3, 1499-1556 (2022). MSC: 60K35 60G99 60J25 60J27 92D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calvez, Vincent; Henry, Benoît; Méléard, Sylvie; Tran, Viet Chi Dynamics of lineages in adaptation to a gradual environmental change. (Dynamique des lignées ancestrales en réponse à des changements environnementaux.) (English) Zbl 1498.92129 Ann. Henri Lebesgue 5, 729-777 (2022). MSC: 92D15 60J85 92D25 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Takahashi, Takuya; Ihara, Yasuo Application of a Markovian ancestral model to the temporal and spatial dynamics of cultural evolution on a population network. (English) Zbl 1486.91056 Theor. Popul. Biol. 143, 14-29 (2022). MSC: 91D10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Abraham, Romain; Delmas, Jean-François Exact simulation of the genealogical tree for a stationary branching population and application to the asymptotics of its total length. (English) Zbl 1486.60108 Adv. Appl. Probab. 53, No. 2, 537-574 (2021). Reviewer: Isamu Dôku (Saitama) MSC: 60J80 60J85 92D15 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Lambert, Amaury; Pina, Verónica Miró; Schertzer, Emmanuel Chromosome painting: how recombination mixes ancestral colors. (English) Zbl 1476.60009 Ann. Appl. Probab. 31, No. 2, 826-864 (2021). MSC: 60B12 05A18 60G55 60J25 60K35 92D10 92D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Abraham, Romain; Delmas, Jean-François; He, Hui Some properties of stationary continuous state branching processes. (English) Zbl 1476.60150 Stochastic Processes Appl. 141, 309-343 (2021). MSC: 60J80 60J27 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Alberti, F.; Baake, E.; Letter, I.; Martínez, S. Solving the migration-recombination equation from a genealogical point of view. (English) Zbl 1465.92072 J. Math. Biol. 82, No. 5, Paper No. 41, 27 p. (2021). MSC: 92D15 60J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gonzalez Casanova, Adrian; Smadi, Charline On \(\Lambda\)-Fleming-Viot processes with general frequency-dependent selection. (English) Zbl 1457.60079 J. Appl. Probab. 57, No. 4, 1162-1197 (2020). MSC: 60G99 60K35 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Etheridge, Alison Spatial population models. (English) Zbl 1447.92253 Malliavin calculus and normal approximations and Spatial population models. Lecture notes of two minicourses based on the presentations at the 23rd Brazilian school of probability, XXIII EBP, São Paulo, Brazil, July 22–27, 2019. Rio de Janeiro: Sociedade Brasileira de Matemática. Ensaios Mat. 34, 75-186 (2019). MSC: 92D10 92D15 60J85 60J20 × Cite Format Result Cite Review PDF Full Text: Link
Favaro, Stefano; Feng, Shui; Jenkins, Paul A. Bayesian nonparametric analysis of Kingman’s coalescent. (English. French summary) Zbl 1426.62315 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 1087-1115 (2019). MSC: 62P10 62G05 62C10 62M05 92D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bossert, S.; Pfaffelhuber, P. The fixation probability and time for a doubly beneficial mutant. (English) Zbl 1404.92133 Stochastic Processes Appl. 128, No. 12, 4018-4050 (2018). MSC: 92D15 60J85 92D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Birkner, Matthias; Liu, Huili; Sturm, Anja Coalescent results for diploid exchangeable population models. (English) Zbl 1415.92122 Electron. J. Probab. 23, Paper No. 49, 44 p. (2018). MSC: 92D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Grosjean, Nicolas; Huillet, Thierry On the genealogy and coalescence times of Bienaymé-Galton-Watson branching processes. (English) Zbl 1390.60311 Stoch. Models 34, No. 1, 1-24 (2018). MSC: 60J80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Popovic, Lea; Rivas, Mariolys Topology and inference for Yule trees with multiple states. (English) Zbl 1355.92078 J. Math. Biol. 73, No. 5, 1251-1291 (2016). MSC: 92D15 60J80 60J10 60J27 60J85 92D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Greven, Andreas; Pfaffelhuber, Peter; Pokalyuk, Cornelia; Wakolbinger, Anton The fixation time of a strongly beneficial allele in a structured population. (English) Zbl 1352.92100 Electron. J. Probab. 21, Paper No. 61, 42 p. (2016). MSC: 92D10 92D15 60J80 60J85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Esser, Mareike; Probst, Sebastian; Baake, Ellen Partitioning, duality, and linkage disequilibria in the Moran model with recombination. (English) Zbl 1359.92080 J. Math. Biol. 73, No. 1, 161-197 (2016). Reviewer: Carlos A. dos Santos Braumann (Évora) MSC: 92D10 92D15 60J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Depperschmidt, Andrej; Pardoux, Étienne; Pfaffelhuber, Peter A mixing tree-valued process arising under neutral evolution with recombination. (English) Zbl 1371.92096 Electron. J. Probab. 20, Paper No. 94, 22 p. (2015). MSC: 92D15 92D10 60G10 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pardoux, Etienne; Wakolbinger, Anton A path-valued Markov process indexed by the ancestral mass. (English) Zbl 1319.60169 ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 193-212 (2015). MSC: 60J80 60J60 60H10 60G55 60J25 60J75 92D25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mossel, Elchanan; Steel, Mike Majority rule has transition ratio 4 on Yule trees under a 2-state symmetric model. (English) Zbl 1343.92361 J. Theor. Biol. 360, 315-318 (2014). MSC: 92D15 60J85 60J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xian; Ma, Zhi-Ming; Wang, Ying Markov jump processes in modeling coalescent with recombination. (English) Zbl 1319.60163 Ann. Stat. 42, No. 4, 1361-1393 (2014). MSC: 60J75 60J25 65C60 92D10 92B15 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kluth, Sandra; Hustedt, Thiemo; Baake, Ellen The common ancestor process revisited. (English) Zbl 1310.92039 Bull. Math. Biol. 75, No. 11, 2003-2027 (2013). MSC: 92D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mano, Shuhei Duality between the two-locus Wright-Fisher diffusion model and the ancestral process with recombination. (English) Zbl 1302.92075 J. Appl. Probab. 50, No. 1, 256-271 (2013). MSC: 92D10 92D15 65C05 60J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Mano, Shuhei Ancestral graph with bias in gene conversion. (English) Zbl 1416.60086 J. Appl. Probab. 50, No. 1, 239-255 (2013). MSC: 60K35 60J70 92D10 92D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Royer-Carenzi, Manuela; Pontarotti, Pierre; Didier, Gilles Choosing the best ancestral character state reconstruction method. (English) Zbl 1316.92055 Math. Biosci. 242, No. 1, 95-109 (2013). MSC: 92D15 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Depperschmidt, Andrej; Greven, Andreas; Pfaffelhuber, Peter Tree-valued Fleming-Viot dynamics with mutation and selection. (English) Zbl 1316.92048 Ann. Appl. Probab. 22, No. 6, 2560-2615 (2012). MSC: 92D10 60K35 60J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Angel, Omer; Berestycki, Nathanaël; Limic, Vlada Global divergence of spatial coalescents. (English) Zbl 1271.92022 Probab. Theory Relat. Fields 152, No. 3-4, 625-679 (2012). Reviewer: R. E. Maiboroda (Kyïv) MSC: 92D15 60G50 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Möhle, Martin Coalescent processes derived from some compound Poisson population models. (English) Zbl 1367.92105 Electron. Commun. Probab. 16, 567-582 (2011). MSC: 92D25 92D15 60J70 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Bansaye, Vincent; Delmas, Jean-François; Marsalle, Laurence; Tran, Viet Chi Limit theorems for Markov processes indexed by continuous time Galton-Watson trees. (English) Zbl 1235.60114 Ann. Appl. Probab. 21, No. 6, 2263-2314 (2011). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60J80 60F05 60F15 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huillet, Thierry; Möhle, Martin Population genetics models with skewed fertilities: a forward and backward analysis. (English) Zbl 1367.92074 Stoch. Models 27, No. 3, 521-554 (2011); correction ibid. 28, No. 3, 527-532 (2012). MSC: 92D10 92D25 60J10 60K35 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Gascuel, Olivier; Steel, Mike Inferring ancestral sequences in taxon-rich phylogenies. (English) Zbl 1197.92035 Math. Biosci. 227, No. 2, 125-135 (2010). MSC: 92D15 62P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Etheridge, A. M.; Griffiths, R. C. A coalescent dual process in a Moran model with genic selection. (English) Zbl 1213.92038 Theor. Popul. Biol. 75, No. 4, 320-330 (2009). MSC: 92D15 60J70 × Cite Format Result Cite Review PDF Full Text: DOI
Mano, Shuhei Duality, ancestral and diffusion processes in models with selection. (English) Zbl 1211.92043 Theor. Popul. Biol. 75, No. 2-3, 164-175 (2009). MSC: 92D15 60J70 60J85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huillet, Thierry; Möhle, Martin Duality and asymptotics for a class of nonneutral discrete Moran models. (English) Zbl 1181.92067 J. Appl. Probab. 46, No. 3, 866-893 (2009). Reviewer: R. E. Maiboroda (Kyïv) MSC: 92D15 60J70 60K35 60F05 92D10 × Cite Format Result Cite Review PDF Full Text: DOI
Möhle, Martin Convergence to the coalescent and its relation to the time back to the most recent common ancestor. (English) Zbl 1355.92076 Fifth colloquium on mathematics and computer science. Lectures from the colloquium, Blaubeuren, Germany, September 22–26, 2008. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science Proceedings AI, 311-324 (2008). MSC: 92D15 × Cite Format Result Cite Review PDF Full Text: Link
Pfaffelhuber, P.; Studeny, A. Approximating genealogies for partially linked neutral loci under a selective sweep. (English) Zbl 1125.92042 J. Math. Biol. 55, No. 3, 299-330 (2007). MSC: 92D10 92D15 60J70 60J80 60J85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Möhle, Martin; Sagitov, Serik Coalescent patterns in diploid exchangeable population models. (English) Zbl 1054.92039 J. Math. Biol. 47, No. 4, 337-352 (2003). MSC: 92D15 60J70 60F17 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Georgii, Hans-Otto; Baake, Ellen Supercritical multitype branching processes: The ancestral types of typical individuals. (English) Zbl 1044.60080 Adv. Appl. Probab. 35, No. 4, 1090-1110 (2003). Reviewer: Heinrich Hering (Göttingen) MSC: 60J80 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bahlo, M.; Griffiths, R. C. Inference from gene trees in a subdivided population. (English) Zbl 0984.92020 Theor. Popul. Biol. 57, No. 2, 79-95 (2000). MSC: 92D15 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Griffiths, R. C.; Tavaré, Simon The ages of mutations in gene trees. (English) Zbl 0948.92016 Ann. Appl. Probab. 9, No. 3, 567-590 (1999). MSC: 92D15 60J70 92D10 62M05 92D20 65C05 × Cite Format Result Cite Review PDF Full Text: DOI
Griffiths, R. C. The time to the ancestor along sequences with recombination. (English) Zbl 0933.92028 Theor. Popul. Biol. 55, No. 2, 137-144 (1999). MSC: 92D15 92D20 × Cite Format Result Cite Review PDF Full Text: DOI
Krone, Stephen M.; Neuhauser, Claudia Ancestral processes with selection. (English) Zbl 0910.92024 Theor. Popul. Biol. 51, No. 3, 210-237 (1997). Reviewer: F.T.Adylova (Tashkent) MSC: 92D15 92D10 × Cite Format Result Cite Review PDF Full Text: DOI
López-Mimbela, J. Alfredo; Wakolbinger, Anton Clumping in multitype-branching trees. (English) Zbl 0872.60062 Adv. Appl. Probab. 28, No. 4, 1034-1050 (1996). MSC: 60J80 60G57 60J85 35B40 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Griffiths, R. C.; Tavaré, Simon Unrooted genealogical tree probabilities in the infinitely-many-sites model. (English) Zbl 0818.92010 Math. Biosci. 127, No. 1, 77-98 (1995). MSC: 92D10 65C99 92D15 × Cite Format Result Cite Review PDF Full Text: DOI
Griffiths, R. C.; Tavaré, Simon Simulating probability distributions in the coalescent. (English) Zbl 0807.92015 Theor. Popul. Biol. 46, No. 2, 131-159 (1994). MSC: 92D10 92-08 62P10 60J20 × Cite Format Result Cite Review PDF Full Text: DOI
Donnelly, Peter Weak convergence to a Markov chain with an entrance boundary: Ancestral processes in population genetics. (English) Zbl 0732.92014 Ann. Probab. 19, No. 3, 1102-1117 (1991). Reviewer: H.-P.Altenburg (Mannheim) MSC: 92D10 60J27 60F99 60J60 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Griffiths, R. C. The two-locus ancestral graph. (English) Zbl 0781.92022 Applied probability, Proc. Symp., Sheffield/UK 1990, IMS Lect. Notes, Monogr. Ser. 18, 100-117 (1991). MSC: 92D10 60J85 60J80 × Cite Format Result Cite Review PDF
Uchiyama, Kōhei Fluctuation in population dynamics. (English) Zbl 0635.92012 Stochastic methods in biology, Proc. Workshop, Nagoya/Jap. 1985, Lect. Notes Biomath. 70, 222-229 (1987). Reviewer: J.Peil MSC: 92D25 60J20 × Cite Format Result Cite Review PDF