A note on the asymptotic independence of maximum and minimum of stationary sequences with extremal index
A note on the ballistic limit of random motion in a random potential.
A note on the characterization ofsome minification processes
We present a stochastic model which yields a stationary Markov process whose invariant distribution is maximum stable with respect to the geometrically distributed sample size. In particular, we obtain the autoregressive Pareto processes and the autoregressive logistic processes introduced earlier by Yeh et al
A note on the conditional expectations
A note on the convergence of quantizers.
A note on the convexity of the expected queue length of the queue with respect to the arrival rate: A third proof.
A note on the density of the parabolic area integral.
The density of the area integral for parabolic functions is defined in analogy with the case of harmonic functions. We prove its equivalence with the local time of the associated martingale. Using probabilistic methods, we show its equivalence in L p -norm with the parabolic area function for p>1.
A note on the diffusive scaling limit for a class of linear systems.
A note on the distribution of the three types of nodes in uniform binary trees.
A note on the distributions of the maximum of linear Bernoulli processes.
A note on the Ehrhard inequality
We prove that for λ ∈ [0,1] and A, B two Borel sets in with A convex, , where is the canonical gaussian measure in and is the inverse of the gaussian distribution function.
A note on the energy inequalities for increasing processes
A note on the enumeration of diffusion walks in the first octant by their number of contacts with the diagonal.
A note on the exact expected length of the th part of a random partition.
A note on the existence of Gibbs marked point processes with applications in stochastic geometry
This paper generalizes a recent existence result for infinite-volume marked Gibbs point processes. We try to use the existence theorem for two models from stochastic geometry. First, we show the existence of Gibbs facet processes in with repulsive interactions. We also prove that the finite-volume Gibbs facet processes with attractive interactions need not exist. Afterwards, we study Gibbs-Laguerre tessellations of . The mentioned existence result cannot be used, since one of its assumptions...
A note on the exponential convergence rate for products of sums
A note on the functional law of the iterated logarithm for Lévy's area process
By using large deviation techniques, we prove a Strassen type law of the iterated logarithm, in Hölder norm, for Lévy's area process.
A note on the Glauber dynamics for sampling independent sets.
A note on the good lambda inequalities
A note on the interval-valued marginal problem and its maximum entropy solution
This contribution introduces the marginal problem, where marginals are not given precisely, but belong to some convex sets given by systems of intervals. Conditions, under which the maximum entropy solution of this problem can be obtained via classical methods using maximum entropy representatives of these convex sets, are presented. Two counterexamples illustrate the fact, that this property is not generally satisfied. Some ideas of an alternative approach are presented at the end of the paper.