Zobrazeno 1 - 10
of 280
pro vyhledávání: '"Martínez Servet"'
Autor:
Collet, Pierre, Martínez, Servet
We consider a stationary Markovian evolution with values on a disjointly partitioned set space $I\sqcup {\cal E}$. The evolution is visible (in the sense of knowing the transition probabilities) on the states in $I$ but not for the states in ${\cal E
Externí odkaz:
http://arxiv.org/abs/2402.14019
Autor:
Martinez, Servet
We show that when the proportions of a countable set of species are organized as an exchangeable partition of the unit interval and we take a sample on it, then the Bayesian posterior entropy converges a.s. and in L^1 to the entropy of the species wh
Externí odkaz:
http://arxiv.org/abs/2311.10698
Autor:
Huillet, Thierry, Martinez, Servet
We study the number of individuals per level defined by excursions of random walks with state dependent jump law. These level numbersdetermine the probability of the excursion, and the set of transformations preserving the level numbers is, generical
Externí odkaz:
http://arxiv.org/abs/2307.14002
Autor:
Martínez, Servet, Nagel, Werner
Publikováno v:
J. Appl. Probab. 61 (2024) 697-715
Processes of random tessellations of the Euclidean space $\mathbb{R}^d$, $d\geq 1$, are considered which are generated by subsequent division of their cells. Such processes are characterized by the laws of the life times of the cells until their divi
Externí odkaz:
http://arxiv.org/abs/2303.16297
Sterile versus prolific individuals pertaining to linear-fractional Bienaym{\'e}-Galton-Watson trees
Autor:
Huillet, Thierry, Martinez, Servet
In a Bienaym\'{e}-Galton-Watson process for which there is a positiveprobability for individuals of having no offspring, there is a subtlebalance and dependence between the sterile nodes (the dead nodes or leaves)and the prolific ones (the productive
Externí odkaz:
http://arxiv.org/abs/2302.08194
Autor:
Martínez, Servet, Santibáñez, Javier
We consider the sequential sampling of species, where observed samples are classified into the species they belong to. We are particularly interested in studying some quantities describing the sampling process when there is a new species discovery. W
Externí odkaz:
http://arxiv.org/abs/2301.13700
Autor:
Hart, Andrew, Martínez, Servet
We study a model for the spread of an infectious disease which incorporates spatial and temporal effects. The model is a delayed multi-type branching process in which types represent geographic regions while infected individuals reproduce offspring d
Externí odkaz:
http://arxiv.org/abs/2101.06790
We consider an epidemic spreading in a city which is divided geographically into different districts. We introduce the reproduction matrix $\R=\bigl(R(i,j)\bigr)$ between districts, where $R(i,j)$ is the mean number of individuals in district $j$ inf
Externí odkaz:
http://arxiv.org/abs/2005.09556
Publikováno v:
J. Math. Biol. 82 (2021) 1-27
We consider the discrete-time migration-recombination equation, a deterministic, nonlinear dynamical system that describes the evolution of the genetic type distribution of a population evolving under migration and recombination in a law of large num
Externí odkaz:
http://arxiv.org/abs/2004.08958
In this article we study stability properties of $g_O$, the standard Green kernel for $O$ an open regular set in $R^d$. In $d\ge 3$ we show that $g_O^\beta$ is again a Green kernel of a Markov Feller process, for any power $\beta\in [1,d/(d-2))$. In
Externí odkaz:
http://arxiv.org/abs/2004.02930