Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Casanova, Adrian Gonzalez"'
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
In this article, we introduce a random (directed) graph model for the simultaneous forwards and backwards description of a rather broad class of Cannings models with a seed bank mechanism. This provides a simple tool to establish a sampling duality i
Externí odkaz:
http://arxiv.org/abs/2210.05819