The photophysical properties of o-aminoacetophenone (o-AAP) in solution have been studied by using a femtosecond laserÈsingle photon counting system and time-resolved thermal lensing (TRTL) method. The Ñuorescence quantum yield and lifetime of o-AAP depend strongly on the nature of the solvent. In f (qf) nonpolar solvents, o-AAP gives very small values in n-hexane) and remarkably short f (Uf\ 2...

Voiculescu’s free probability theory – which was introduced in an operator algebraic context, but has since then developed into an exciting theory with a lot of links to other fields – has an interesting combinatorial facet: it can be described by the combinatorial concept of multiplicative functions on the lattice of non-crossing partitions. In this survey I want to explain this connection – w...

Given n red and n blue points in general position in the plane, it is well-known that there is a perfect matching formed by non-crossing line segments. We characterize the bichromatic point sets which admit exactly one non-crossing matching. We give several geometric descriptions of such sets, and find an O(n log n) algorithm that checks whether a given bichromatic set has this property.

In this paper, we discuss a direct measure for aperiodic energy and periodic energy in speech signals. Most measures for aperiodicity have been indirect, such as zero crossing rate, highfrequency energy and the ratio of high-frequency energy to lowfrequency energy. Such indirect measurements will usually fail in situations where there is both strong periodic and aperiodic energy in the speech s...

We derive a formula for the expected number of blocks of a given size from a non-crossing partition chosen uniformly at random. Moreover, we refine this result subject to the restriction of having a number of blocks given. Furthermore, we generalize to k-divisible partitions. In particular, we find that in average the number of blocks of a k-divisible non-crossing partitions of nk elements is k...

Let X be a set of multicolored points in the plane such that no three points are collinear and each color appears on at most ⌈|X|/2⌉ points. We show the existence of a non-crossing properly colored geometric perfect matching on X (if |X| is even), and the existence of a non-crossing properly colored geometric spanning tree with maximum degree at most 3 on X. Moreover, we show the existence of a...