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pro vyhledávání: '"Jenkins, Paul A."'
We show that genealogical trees arising from a broad class of non-neutral models of population evolution converge to the Kingman coalescent under a suitable rescaling of time. As well as non-neutral biological evolution, our results apply to genetic
Externí odkaz:
http://arxiv.org/abs/2406.16465
Autor:
Clayton, Archer, Jenkins, Paul
Griffin, the second author, and Molnar studied coefficient duality for canonical bases for a broad range of spaces of weakly holomorphic modular forms, showing that the Fourier coefficients of canonical basis elements appear as negatives of Fourier c
Externí odkaz:
http://arxiv.org/abs/2406.00173
Autor:
Favero, Martina, Jenkins, Paul A.
Wright-Fisher diffusions and their dual ancestral graphs occupy a central role in the study of allele frequency change and genealogical structure, and they provide expressions, explicit in some special cases but generally implicit, for the sampling p
Externí odkaz:
http://arxiv.org/abs/2312.17406
In this work, we develop excursion theory for the Wright-Fisher diffusion with recurrent mutation. Our construction is intermediate between the classical excursion theory where all excursions begin and end at a single point and the more general appro
Externí odkaz:
http://arxiv.org/abs/2309.16271
The Wright--Fisher diffusion is important in population genetics in modelling the evolution of allele frequencies over time subject to the influence of biological phenomena such as selection, mutation, and genetic drift. Simulating paths of the proce
Externí odkaz:
http://arxiv.org/abs/2301.05459
Autor:
Griffiths, Robert C., Jenkins, Paul A.
Recombination is a fundamental evolutionary force, but it is difficult to quantify because the effect of a recombination event on patterns of variation in a sample of genetic data can be hard to discern. Estimators for the recombination rate, which a
Externí odkaz:
http://arxiv.org/abs/2212.07747
Publikováno v:
McKinsey Quarterly. 2024, Vol. 2024 Issue 1, p112-117. 6p. 2 Color Photographs.
Publikováno v:
In Clinical Psychology Review August 2024 112
Interacting particle systems undergoing repeated mutation and selection steps model genetic evolution, and also describe a broad class of sequential Monte Carlo methods. The genealogical tree embedded into the system is important in both applications
Externí odkaz:
http://arxiv.org/abs/2110.05356
Publikováno v:
In Journal of Psychiatric Research July 2024 175:393-404