Found 655 Documents (Results 1–100)
Tropical logistic regression model on space of phylogenetic trees. (English) Zbl 07924650
MSC:
92-XX
On moments of multiplicative coalescents. (English. French summary) Zbl 07923687
Alpha-stable branching and beta-frequency processes, beyond the IID assumption. (English) Zbl 07905725
Consistency of the maximum likelihood estimator of population tree in a coalescent framework. (English) Zbl 07901366
MSC:
62-XX
Asymptotic behaviour of the complexity index of growing random trees. (Ukrainian. English summary) Zbl 07877793
Bernoulli factories and duality in Wright-Fisher and Allen-Cahn models of population genetics. (English) Zbl 07874517
On a Markov chain related to the individual lengths in the recursive construction of Kingman’s coalescent. (English) Zbl 1542.60058
Exact modulus of continuities for \(\Lambda\)-Fleming-Viot processes with Brownian spatial motion. (English) Zbl 1541.60065
Weak convergence of the scaled jump chain and number of mutations of the Kingman coalescent. (English) Zbl 1540.60196
Strong measurable continuous modifications of stochastic flows. (English) Zbl 1539.60119
Ukr. Math. J. 75, No. 11, 1722-1757 (2024); and Ukr. Mat. Zh. 75, No. 11, 1522-1551 (2023).
Reviewer: Yuliya S. Mishura (Kyïv)
On the rate of convergence to coalescing Brownian motions. (English. French summary) Zbl 1542.60049
Reviewer: Oleg K. Zakusilo (Kyïv)
A branching process with coalescence to model random phylogenetic networks. (English) Zbl 1536.60081
Reviewer: Pavel Stoynov (Sofia)
The relative frequency between two continuous-state branching processes with immigration and their genealogy. (English) Zbl 1536.60089
The joint fluctuations of the lengths of the \(\operatorname{Beta}(2 - {\alpha}, {\alpha})\)-coalescents. (English) Zbl 1541.60075
Reviewer: Nasir N. Ganikhodjaev (Tashkent)
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes. (English) Zbl 07819896
Universality classes for the coalescent structure of heavy-tailed Galton-Watson trees. (English) Zbl 1534.60120
Reversible coalescing-fragmentating Wasserstein dynamics on the real line. (English) Zbl 1537.60104
Reviewer: Oleg K. Zakusilo (Kyïv)
Anomalous networks under the multispecies coalescent: theory and prevalence. (English) Zbl 1533.92146
Phylogenomic models from tree symmetries. (English) Zbl 1532.92065
MSC:
92D15
Asymptotics of the frequency spectrum for general Dirichlet \(\Xi\)-coalescents. (English) Zbl 1531.60054
Degree corrected stochastic block model: excursion representation. arXiv:2409.18894
Preprint, arXiv:2409.18894 [math.PR] (2024).
Ages, sizes and (trees within) trees of taxa and of urns, from Yule to today. arXiv:2409.14536
Preprint, arXiv:2409.14536 [q-bio.PE] (2024).
Gelation in Vector Multiplicative Coalescence and Extinction in Multi-Type Poisson Branching Processes. arXiv:2409.06910
Preprint, arXiv:2409.06910 [math.PR] (2024).
Central limit theorems describing isolation by distance under varying population size. arXiv:2407.10211
Preprint, arXiv:2407.10211 [math.PR] (2024).
Killing versus catastrophes in birth-death processes and an application to population genetics. arXiv:2407.08478
Preprint, arXiv:2407.08478 [math.PR] (2024).
Genealogical processes of non-neutral population models under rapid mutation. arXiv:2406.16465
Preprint, arXiv:2406.16465 [math.PR] (2024).
Stationary distribution approximations of Two-island Wright-Fisher and seed-bank models using Stein’s method. arXiv:2405.18763
Preprint, arXiv:2405.18763 [math.PR] (2024).
Near critical asymptotics in the Frozen Erdős-Rényi. arXiv:2405.08664
Preprint, arXiv:2405.08664 [math.PR] (2024).
Critical beta-splitting, via contraction. arXiv:2404.16021
Preprint, arXiv:2404.16021 [math.PR] (2024).
Identifying circular orders for blobs in phylogenetic networks. arXiv:2402.11693
Preprint, arXiv:2402.11693 [q-bio.PE] (2024).
The Brownian Spatial Coalescent. arXiv:2401.08557
Preprint, arXiv:2401.08557 [math.PR] (2024).
The Yule-\(\Lambda\) Nested Coalescent: Distribution of the Number of Lineages. arXiv:2401.02233
Preprint, arXiv:2401.02233 [math.PR] (2024).
The structured coalescent in the context of gene copy number variation. (English) Zbl 07856081
MSC:
92-XX
Existence, uniqueness and ergodicity for the centered Fleming-Viot process. (English) Zbl 1535.37012
The coalescent structure of uniform and Poisson samples from multitype branching processes. (English) Zbl 1538.60139
Multidimensional Lambert-Euler inversion and vector-multiplicative coalescent processes. (English) Zbl 1538.60160
Gaussian structure in coalescing stochastic flows. (English) Zbl 1529.60028
Reviewer: Fraser Daly (Edinburgh)
Statistically consistent rooting of species trees under the multispecies coalescent model. (English) Zbl 1528.92025
Tang, Haixu (ed.), Research in computational molecular biology. 27th annual international conference, RECOMB 2023, Istanbul, Turkey, April 16–19, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13976, 41-57 (2023).
On conditioning Brownian particles to coalesce. (English) Zbl 1529.60061
Reviewer: Oleg K. Zakusilo (Kyïv)
Moran model with simultaneous strong and weak selections: convergence towards a \(\Lambda\)-Wright-Fisher SDE. (English) Zbl 1527.92031
On the boundary classification of \(\Lambda\)-Wright-Fisher processes with frequency-dependent selection. (Sur la classification des points frontières des processus de \(\Lambda\)-Wright-Fisher avec sélection dépendante de la fréquence.) (English. French summary) Zbl 1521.60053
Transition density of an infinite-dimensional diffusion with the Jack parameter. (English) Zbl 1520.60048
The stochastic Fisher-KPP equation with seed bank and on/off branching coalescing Brownian motion. (English) Zbl 1518.60085
Convergence of the one-dimensional contact process with two types of particles and priority. (English) Zbl 1515.60326
Reviewer: Janosch Ortmann (Montréal)
Asymptotic Gaussianity via coalescence probabilities in the Hammond-Sheffield urn. (English) Zbl 1515.60098
Fitting stochastic epidemic models to gene genealogies using linear noise approximation. (English) Zbl 07656964
MSC:
62Pxx
Coalescence in branching processes with age dependent structure in population. (English) Zbl 1506.60100
On \({A_{\alpha}}\)-spectrum of a unicyclic graph. (English) Zbl 1514.05098
J. Comb. Optim. 45, No. 1, Paper No. 38, 16 p. (2023); retraction note ibid. 47, No. 3, Paper No. 43, 1 p. (2024).
Reviewer: Rosário Fernandes (Lisboa)
Effects of discordance between species and gene trees on phylogenetic diversity conservation. (English) Zbl 1505.92142
The tree of blobs of a species network: identifiability under the coalescent. (English) Zbl 1505.92135
Instantaneous support propagation for \(\Lambda\)-Fleming-Viot processes. (English) Zbl 1512.60031
Reviewer: Pierre Monmarché (Paris)
Root vectors of polynomial and rational matrices: theory and computation. (English) Zbl 1504.15028
Reviewer: John D. Dixon (Ottawa)
The Yule-Kingman Nested Coalescent: Distribution of the Number of Lineages. arXiv:2312.12179
Preprint, arXiv:2312.12179 [math.PR] (2023).
On the fixation probability of an advantageous allele in a population with skewed offspring distribution. arXiv:2310.09045
Preprint, arXiv:2310.09045 [math.PR] (2023).
Absorption and stationary times for the \(\Lambda\)-Wright-Fisher process. arXiv:2308.09218
Preprint, arXiv:2308.09218 [math.PR] (2023).
Wright-Fisher diffusion and coalescent with a continuum of seed-banks. arXiv:2307.07110
Preprint, arXiv:2307.07110 [math.PR] (2023).
A dynamical approach to spanning and surplus edges of random graphs. arXiv:2305.04716
Preprint, arXiv:2305.04716 [math.PR] (2023).
Asymptotics for the site frequency spectrum associated with the genealogy of a birth and death process. arXiv:2304.13851
Preprint, arXiv:2304.13851 [math.PR] (2023).
The standard augmented multiplicative coalescent revisited. arXiv:2304.07545
Preprint, arXiv:2304.07545 [math.PR] (2023).
Asymptotic sampling distributions made easy: loose linkage in the ancestral recombination graph. arXiv:2301.07394
Preprint, arXiv:2301.07394 [math.PR] (2023).
Coupling Bertoin’s and Aldous-Pitman’s representations of the additive coalescent. arXiv:2301.01153
Preprint, arXiv:2301.01153 [math.PR] (2023).
Fast and accurate species trees from weighted internode distances. (English) Zbl 07896504
Boucher, Christina (ed.) et al., 22nd international workshop on algorithms in bioinformatics, WABI 2022, Potsdam, Germany, September 5–7, 2022. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 242, Article 8, 24 p. (2022).
Fragmentation processes derived from conditioned stable Galton-Watson trees. (English) Zbl 07849075
Ward, Mark Daniel (ed.), 33rd international conference on probabilistic, combinatorial and asymptotic methods for the analysis of algorithms, AofA 2022, Philadelphia, PA, USA, June 20–24, 2022. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 225, Article 3, 14 p. (2022).
MSC:
68W40
Theoretical analysis of principal components in an umbrella model of intraspecific evolution. (English) Zbl 07702571
MSC:
92-XX
Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6–12, 2022. (English) Zbl 1506.00063
Species tree estimation under joint modeling of coalescence and duplication: sample complexity of quartet methods. (English) Zbl 1505.92139
Zig-zag sampling for discrete structures and nonreversible phylogenetic MCMC. (English) Zbl 07633200
MSC:
62-XX
Evolutionary game dynamics in a finite continental island population model and emergence of cooperation. (English) Zbl 1505.91082
On joint properties of vertices with a given degree or label in the random recursive tree. (English) Zbl 1504.05264
Erratum to: “Asymptotic genealogies of interacting particle systems with an application to sequential Monte Carlo”. (English) Zbl 1497.60057
Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems. (English) Zbl 1510.60036
Mean field behavior during the big bang regime for coalescing random walks. (English) Zbl 1498.60316
Rates of convergence in the two-island and isolation-with-migration models. (English) Zbl 1516.92056
Limiting distribution of X-chromosomal coalescence times under first-cousin consanguineous mating. (English) Zbl 1516.92042
Limits of multiplicative inhomogeneous random graphs and Lévy trees: the continuum graphs. (English) Zbl 1499.60017
Genealogies in bistable waves. (English) Zbl 1504.60164
Reviewer: Pavel Stoynov (Sofia)
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