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pro vyhledávání: '"Casanova, Adrian Gonzalez"'
We consider a population model in which the season alternates between winter and summer, and individuals can acquire mutations either that are advantageous in the summer and disadvantageous in the winter, or vice versa. Also, we assume that individua
Externí odkaz:
http://arxiv.org/abs/2410.10890
Autor:
Hermann, Felix, Casanova, Adrián Gonzalez, Santos, Renato Soares dos, Tóbiás, András, Wakolbinger, Anton
We consider a population whose size $N$ is fixed over the generations, and in which random beneficial mutations arrive at a rate of order $1/\log N$ per generation. In this so-called Gerrish-Lenski regime, typically a finite number of contending muta
Externí odkaz:
http://arxiv.org/abs/2407.00793
We construct and study branching fractional Brownian motion with Hurst parameter $H\in(1/2,1)$. The construction relies on a generalization of the discrete approximation of fractional Brownian motion (Hammond and Sheffield, Probability Theory and Rel
Externí odkaz:
http://arxiv.org/abs/2310.04386
We derive stationary and fixation times for the multi-type $\Lambda$-Wright-Fisher process with and without the classic linear drift that models mutations. Our method relies on a grand coupling of the process realized through the so-called lookdown-c
Externí odkaz:
http://arxiv.org/abs/2308.09218
Consider the open symmetric exclusion process on a connected graph with vertexes in $[N-1]:=\{1,\ldots, N-1\}$ where points $1$ and $N-1$ are connected, respectively, to a left reservoir and a right reservoir with densities $\rho_L,\rho_R\in(0,1)$. W
Externí odkaz:
http://arxiv.org/abs/2307.02481
Muller's ratchet, in its prototype version, models a haploid, asexual population whose size~$N$ is constant over the generations. Slightly deleterious mutations are acquired along the lineages at a constant rate, and individuals carrying less mutatio
Externí odkaz:
http://arxiv.org/abs/2306.00471
Motivated by the question of the impact of selective advantage in populations with skewed reproduction mechanims, we study a Moran model with selection. We assume that there are two types of individuals, where the reproductive success of one type is
Externí odkaz:
http://arxiv.org/abs/2306.00130
We present a lookdown construction for a Moran seed-bank model with variable active and inactive population sizes and we show that the empirical measure of our model coincides with that of the Seed-Bank-Moran Model with latency of Greven, den Holland
Externí odkaz:
http://arxiv.org/abs/2305.12489
Birkner et al. obtained necessary and sufficient conditions for the frequency between two independent and identically distributed continuous-state branching processes time-changed by a functional of the total mass process to be a Markov process. Fouc
Externí odkaz:
http://arxiv.org/abs/2303.05477
Publikováno v:
Electron. J. Probab. 28: 1-37 (2023)
Consider a population of $N$ individuals, each of them carrying a type in $\mathbb N_0$. The population evolves according to a Moran dynamics with selection and mutation, where an individual of type $k$ has the same selective advantage over all indiv
Externí odkaz:
http://arxiv.org/abs/2211.13109