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of 60
pro vyhledávání: '"60J80, 60F17"'
Autor:
Kuwata, Lena
In this work, we introduce a spatial branching process to model the growth of the mycelial network of a filamentous fungus. In this model, each filament is described by the position of its tip, the trajectory of which is solution to a stochastic diff
Externí odkaz:
http://arxiv.org/abs/2409.13627
We prove, under different natural hypotheses, that the random multidimensional affine recursion $X_n=A_nX_{n-1}+B_n\in\mathbb{R}^d, n \geq 1,$ is recurrent in the critical case. In particular we cover the cases where the matrices $A_n$ are similariti
Externí odkaz:
http://arxiv.org/abs/2408.03853
Autor:
Barczy, Matyas, Bezdány, Dániel
We study the asymptotic behaviour of a critical decomposable 3-type Galton-Watson process with immigration when its offspring mean matrix is triangular with diagonal entries 1. It is proved that, under second or fourth order moment assumptions on the
Externí odkaz:
http://arxiv.org/abs/2406.09852
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A. Matem\'aticas 118, (2024), Article Number 101, 36 pages
Branching processes form an important family of stochastic processes that have been successfully applied in many fields. In this paper, we focus our attention on controlled multi-type branching processes (CMBPs). A Feller-type diffusion approximation
Externí odkaz:
http://arxiv.org/abs/2304.06958
We investigate the genealogy of a sample of $k\geq1$ particles chosen uniformly without replacement from a population alive at large times in a critical discrete-time Galton-Watson process in a varying environment (GWVE). We will show that subject to
Externí odkaz:
http://arxiv.org/abs/2207.10923
We study the following model for a diploid population of constant size $N$: Every individual carries a random number of (genetic) elements. Upon a reproduction event each of the two parents passes each element independently with probability $\tfrac 1
Externí odkaz:
http://arxiv.org/abs/2204.11140
We study a stochastic individual-based model of interacting plant and pollinator species through a bipartite graph: each species is a node of the graph, an edge representing interactions between a pair of species. The dynamics of the system depends o
Externí odkaz:
http://arxiv.org/abs/2201.05219
Publikováno v:
Markov Processes and Related Fields (2022)
The current work deals with an epidemic model on the complete graph K_n on n vertices in a non-homogeneous setting, where the vertices may have distinct types. Different types differ in the probability of getting infected, and/or in the capacity of i
Externí odkaz:
http://arxiv.org/abs/2110.05950
Autor:
Clancy Jr, David
We provide a simple forest model to encode the genealogical structure of a multitype Galton-Watson process with immigration. We provide two encodings of these forests by stochastic processes. We show, under appropriate conditions, the depth-first enc
Externí odkaz:
http://arxiv.org/abs/2105.03369
Publikováno v:
Stochastic Processes and their Applications 160, (2023), 318-350
In this paper the asymptotic behaviour of a critical 2-type Galton-Watson process with immigration is described when its offspring mean matrix is reducible, in other words, when the process is decomposable. It is proved that, under second or fourth o
Externí odkaz:
http://arxiv.org/abs/2105.02508