Zobrazeno 1 - 10
of 191
pro vyhledávání: '"Klenke, Achim"'
Autor:
Klenke, Achim
We use a Monte Carlo simulation to estimate the mean number of visible confetti per unit square when the confetti are placed successively at random positions.
Externí odkaz:
http://arxiv.org/abs/2212.07807
Autor:
Gantert, Nina, Klenke, Achim
We consider a specific random graph which serves as a disordered medium for a particle performing biased random walk. Take a two-sided infinite horizontal ladder and pick a random spanning tree with a certain edge weight $c$ for the (vertical) rungs.
Externí odkaz:
http://arxiv.org/abs/2210.07859
Autor:
Gantert, Nina, Klenke, Achim
Consider a random walk with a drift to the right on $\{0,\ldots,k\}$ where $k$ is random and geometrically distributed. We show that the tail $P[T>t]$ of the length $T$ of an excursion from $0$ decreases up to constants like $t^{-\varrho}$ for some $
Externí odkaz:
http://arxiv.org/abs/2111.03028
Autor:
Klenke, Achim, Mytnik, Leonid
Consider a population of infinitesimally small frogs on the real line. Initially the frogs on the positive half-line are dormant while those on the negative half-line are awake and move according to the heat flow. At the interface, the incoming wake
Externí odkaz:
http://arxiv.org/abs/1707.04317
Autor:
Klenke, Achim
Random spanning trees are among the most prominent determinantal point processes. We give four examples of random spanning trees on ladder-like graphs whose rungs form stationary renewal processes or regenerative processes of order two, respectively.
Externí odkaz:
http://arxiv.org/abs/1704.00182
For many stochastic diffusion processes with mean field interaction, convergence of the rescaled total mass processes towards a diffusion process is known. Here we show convergence of the so-called finite system scheme for interacting jump-type proce
Externí odkaz:
http://arxiv.org/abs/1510.01154
Autor:
Gantert, Nina1 (AUTHOR) gantert@ma.tum.de, Klenke, Achim2 (AUTHOR)
Publikováno v:
Journal of Statistical Physics. Apr2023, Vol. 190 Issue 4, p1-25. 25p.
Autor:
Klenke, Achim, Mytnik, Leonid
Publikováno v:
Annals of Probability 2012, Vol. 40, No. 1, 103-129
Consider the infinite rate mutually catalytic branching process (IMUB) constructed in [Infinite rate mutually catalytic branching in infinitely many colonies. Construction, characterization and convergence (2008) Preprint] and [Ann. Probab. 38 (2010)
Externí odkaz:
http://arxiv.org/abs/0910.4120
Autor:
Klenke, Achim, Mattner, Lutz
For several pairs $(P,Q)$ of classical distributions on $\N_0$, we show that their stochastic ordering $P\leq_{st} Q$ can be characterized by their extreme tail ordering equivalent to $ P(\{k_\ast \})/Q(\{k_\ast\}) \le 1 \le \lim_{k\to k^\ast} P(\{k\
Externí odkaz:
http://arxiv.org/abs/0903.1361
Autor:
Klenke, Achim, Oeler, Mario
Publikováno v:
Annals of Probability 2010, Vol. 38, No. 2, 479-497
Dawson and Perkins [Ann. Probab. 26 (1988) 1088--1138] constructed a stochastic model of an interacting two-type population indexed by a countable site space which locally undergoes a mutually catalytic branching mechanism. In Klenke and Mytnik [Prep
Externí odkaz:
http://arxiv.org/abs/0901.2993