Multiplicative processes and multifractals proved useful in various applications ranging from hydrodynamic turbulence to computer network traffic, to name but two. It was recently shown and explained how and why multifractal analysis could be interestingly and fruitfully placed in the more...

An often used model for the shape of a drug's dose-response relationship is the following: the curve increases to a certain dose until a plateau is reached. In this situation, the minimum dose with maximum effect can be seen as a change point in a regression model. We present four estimators for...

We extend the -calculus and the spi-calculus with two primitives that guarantee authentication. They enable us to abstract from various implementations/specifications of authentication, and to obtain idealized protocols which are “secure by construction”. The main underlying idea, originally...

Let be a graph. For a given positive integer , let () denote the largest integer such that in every coloring of the edges of with two colors there is a monochromatic subgraph with minimum degree at least and order at least . For let (, , ) denote the minimum of () where ranges over all graphs...

A generalized Bäcklund-Darboux transformation is applied to the matrix, multicomponent, and coupled nonlinear equations. The cases of the self-induced transparency and nonabelian sine-Gordon equations are studied in greater detail. Multiparameter explicit up to the matrix exponents solutions...

This chapter is devoted to monogenic, harmonic and polymonogenic Clifford-valued automorphic forms that are related to discrete subgroups of Vahlen groups that act on half-spaces of real and complex Minkowski type spaces. In particular, Eisenstein and Poincaré type series are constructed within...

Indefinite inner product spaces of entire functions and functions analytic inside a disk are considered and their completeness studied. Spaces induced by the rotation invariant reproducing kernels in the form of the generalized hypergeometric function are completely characterized. A particular...

We show that for any equivalent reduced ground term rewrite systems and , the same number of terms appear as subterms in as in . We give an upper bound on the number of reduced ground term rewrite systems equivalent to a given reduced ground term rewrite system . We show that for any convergent...

In this paper we propose a new approach to construct all planar triangulation with minimum degree five. In order to generate all of them with vertices, we do not use those with lower order. This is the main result of this approach