Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Kersting, Goetz"'
Publikováno v:
2019, Stochastic Models, 35:2, 148-166
A branching process in varying environment with generation-dependent immigration is a modification of the standard branching process in which immigration is allowed and the reproduction and immigration laws may vary over the generations. This flexibi
Externí odkaz:
http://arxiv.org/abs/2401.15744
Autor:
Kersting, Götz, Rompf, Gerhard
We show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged. By this means, we discuss product integrals and show that the related Fubini theorem holds in full gen
Externí odkaz:
http://arxiv.org/abs/2208.00762
Autor:
Boenkost, Florin, Kersting, Götz
Branching processes in a random environment are natural generalisations of Galton-Watson processes. In this paper we analyse the asymptotic decay of the survival probability for a sequence of slightly supercritical branching processes in an iid rando
Externí odkaz:
http://arxiv.org/abs/2109.10684
Autor:
Kersting, Götz
Publikováno v:
Proc. Steklov Inst. Math. 316 (2022)
Critical branching processes in a varying environment behave much the same as critical Galton-Watson processes. In this note we like to confirm this finding with regard to the underlying genealogical structures. In particular, we consider the most re
Externí odkaz:
http://arxiv.org/abs/2102.08324
Autor:
Kersting, Götz, Minuesa, Carmen
We study an extension of the so-called defective Galton-Watson processes obtained by allowing the offspring distribution to change over the generations. Thus, in these processes, the individuals reproduce independently of the others and in accordance
Externí odkaz:
http://arxiv.org/abs/2011.08949
We consider Beta$(2-\alpha, \alpha)$-coalescents with parameter range $1 <\alpha<2$ starting from $n$ leaves. The length $\ell^{(n)}_r$ of order $r$ in the $n$-Beta$(2-\alpha, \alpha)$-coalescent tree is defined as the sum of the lengths of all branc
Externí odkaz:
http://arxiv.org/abs/2009.13642
Autor:
Kersting, Götz, Wakolbinger, Anton
Publikováno v:
Probabilistic Structures in Evolution (E. Baake and A. Wakolbinger, eds.), EMS Press, Berlin, 2021, pp. 223-246
We present approximation methods which lead to law of large numbers and fluctuation results for functionals of $\Lambda$-coalescents, both in the dust-free case and in the case with a dust component. Our focus is on the tree length (or total branch l
Externí odkaz:
http://arxiv.org/abs/2002.05250
We derive explicit formulas for the two first moments of he site frequency spectrum $(SFS_{n,b})_{1\leq b\leq n-1}$ of the Bolthausen-Sznitman coalescent along with some precise and efficient approximations, even for small sample sizes $n$. These res
Externí odkaz:
http://arxiv.org/abs/1910.01732
We sketch a new framework for the analysis of disordered systems, in particular mean field spin glasses, which is variational in nature and within the formalism of classical thermodynamics. For concreteness, only the Sherrington-Kirkpatrick model is
Externí odkaz:
http://arxiv.org/abs/1902.00955
Autor:
Diehl, Christina S., Kersting, Götz
$\Lambda$-coalescents model genealogies of samples of individuals from a large population by means of a family tree whose branches have lengths. The tree's leaves represent the individuals, and the lengths of the adjacent edges indicate the individua
Externí odkaz:
http://arxiv.org/abs/1811.07653