22 citations · 69 across the 12 of their papers we have counts for
13 papers
Mean Number of Visible Confetti
Achim Klenke
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.
Biased Random Walk on Spanning Trees of the Ladder Graph
Nina Gantert, Achim Klenke
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…
The tail of the length of an excursion in a trap of random size
Nina Gantert, Achim Klenke
Consider a random walk with a drift to the right on where is random and geometrically distributed. We show that the tail of the length of an excur…
Infinite rate symbiotic branching on the real line: The tired frogs model
Achim Klenke, Leonid Mytnik
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…
The random spanning tree on ladder-like graphs
Achim Klenke
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 r…
Finite system scheme for infinite rate mutually catalytic branching with infinite branching rate
Leif Doering, Achim Klenke, Leonid Mytnik
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…
Infinite rate mutually catalytic branching in infinitely many colonies: The longtime behavior
Achim Klenke, Leonid Mytnik
Consider the infinite rate mutually catalytic branching process (IMUB) constructed in [Infinite rate mutually catalytic branching in infinitely many colonies. Construction, charact…
Stochastic ordering of classical discrete distributions
Achim Klenke, Lutz Mattner
For several pairs of classical distributions on , we show that their stochastic ordering can be characterized by their extreme tail ordering equivalent…
A Trotter-type approach to infinite rate mutually catalytic branching
Achim Klenke, Mario Oeler
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 undergoe…
Infinite rate mutually catalytic branching in infinitely many colonies. Construction, characterization and convergence
Achim Klenke, Leonid Mytnik
We construct a mutually catalytic branching process on a countable site space with infinite "branching rate". The finite rate mutually catalytic model, in which the rate of branchi…
Multiple intersection exponents
Achim Klenke, Peter Mörters
Let , be positive integers and be independent planar Brownian motions started uniformly on the bound…
Infinite rate mutually catalytic branching
Achim Klenke, Leonid Mytnik
Consider the mutually catalytic branching process with finite branching rate . We show that as , this process converges in finite-dimensional distributions (in time)…
The multifractal spectrum of Brownian intersection local times
Achim Klenke, Peter Morters
Let \ell be the projected intersection local time of two independent Brownian paths in R^d for d=2,3. We determine the lower tail of the random variable \ell(U), where U is the uni…