Zobrazeno 1 - 10
of 167
pro vyhledávání: '"Möhle, Martin"'
Autor:
Möhle, Martin
A multi-type neutral Cannings population model with mutation and fixed subpopulation sizes is analyzed. Under appropriate conditions, as all subpopulation sizes tend to infinity, the ancestral process, properly time-scaled, converges to a multi-type
Externí odkaz:
http://arxiv.org/abs/2304.05809
Autor:
Huillet, Thierry, Möhle, Martin
A Bernoulli scheme with unequal harmonic success probabilities is investigated, together with some of its natural extensions. The study includes the number of successes over some time window, the times to (between) successive successes and the time t
Externí odkaz:
http://arxiv.org/abs/2211.17044
Autor:
Möhle, Martin, Vetter, Benedict
The block counting process with initial state $n$ counts the number of blocks of an exchangeable coalescent ($\Xi$-coalescent) restricted to a sample of size $n$. This work provides scaling limits for the block counting process of regular $\Xi$-coale
Externí odkaz:
http://arxiv.org/abs/2204.07377
Autor:
Möhle, Martin, Vetter, Benedict
We provide scaling limits for the block counting process and the fixation line of $\Lambda$-coalescents as the initial state $n$ tends to infinity under the assumption that the measure $\Lambda$ on $[0,1]$ satisfies $\int_{[0,1]}u^{-1}(\Lambda-b\lamb
Externí odkaz:
http://arxiv.org/abs/2107.06718
Autor:
Huillet, Thierry, Möhle, Martin
We study a class of Cannings models with population size $N$ having a mixed multinomial offspring distribution with random success probabilities $W_1,\ldots,W_N$ induced by independent and identically distributed positive random variables $X_1,X_2,\l
Externí odkaz:
http://arxiv.org/abs/2106.10939
Autor:
Foucart, Clément, Möhle, Martin
Consider the population model with infinite size associated to subcritical continuous-state branching processes (CSBP). Individuals reproduce independently according to the same subcritical offspring distribution. We study the long-term behaviour of
Externí odkaz:
http://arxiv.org/abs/2012.02857
Autor:
Möhle, Martin, Vetter, Benedict
Publikováno v:
Markov Process. Related Fields, 27 (2021) 1-42
Scaling limits for continuous-time branching processes with discrete state space are provided as the initial state tends to infinity. Depending on the finiteness or non-finiteness of the mean and/or the variance of the offspring distribution, the lim
Externí odkaz:
http://arxiv.org/abs/2002.05940
Autor:
Möhle, Martin, Vetter, Benedict
Publikováno v:
In Stochastic Processes and their Applications August 2023 162:387-422
Autor:
Cordero, Fernando, Möhle, Martin
Publikováno v:
J. Math. Anal. Appl., 474 (2), 1049-1081 (2019)
We consider two population models subject to the evolutionary forces of selection and mutation, the Moran model and the $\Lambda$-Wright-Fisher model. In such models the block counting process traces back the number of potential ancestors of a sample
Externí odkaz:
http://arxiv.org/abs/1805.04371