Fungizide Pyridinderivate I: α-Trichlormethyl-3-pyridinmethanole

The title substances, a new type of compounds with fungicidal activity, were synthesized by addition of trichloromethyllithium (and tribromomethyllithium resp.) to various 3-pyridyl ketones at –100°C.

Herrn o. Prof. Dr.H. Junek mit besten Wünschen zum 60. Geburtstag gewidmet.     

Light propagation in twisted dielectric media

A periodically stratified medium is investigated. Especially, we use a dielectric tensor, which describes an optically uniaxial crystal, whose axis lies obliquely in space and rotates about thez-axis as function ofz. The interpretation of the results differs considerably from that for another often treated kind of anisotropy.     

Thiamorphinans. I

The present paper deals with the synthesis of 5,5a,6,7,8,9-hexahydro-5,9a-iminoethano-4H-naphtho[2,1-b] -thiophenes (I) as derivatives of the first of three novel isomeric S-heterocycles with morphinan-like structure (“thiamorphinans”).     

Der Satz von Hahn-Banach und Fixpunktsätze in limitierten Vektorräumen

Ohne Zusammenfassung     

Untersuchungen über Phenthiazinderivate VIII: Basisch substituierte 10-Acyl-phenthiazin-9-dioxyde

Zusammenfassung Es wurde eine Anzahl von basisch substituierten 10-Acylphenthiazin-9-dioxyden durch Umsetzung von 10-Halogenacyl-phenthiazin-9-dioxyden mit aliphatischen und heterocyclischen sekundären Aminen hergestellt. Da in diesen Verbindungen der Substituent in Stellung 10 leicht unter Bildung von Phenthiazin-9-dioxyd hydrolytisch abgespalten wird, wurden besonders schonende Maßnahmen zur Synthese ausgearbeitet.     

The 24Mg(α, α')24Mg reaction; statistical analysis

The ²⁴Mg(α, α')²⁴Mg reaction to the 1.37 MeV state has been studied over an α-energy range of 9.625–13.825 MeV, in ≈40 keV steps, and over a 25°–160° angular interval. These cross sections have been analysed in terms of statistical theory and a number of deviations from its predictions are found. These deviations point to the importance of non-statistical processes, such as intermediate structure, to the α-scattering. The average compound nuclear width o₁ 62±7 keV is found for ²⁸Si over the 18–22 MeV excitation.     

Synthese von Diterpenen als mögliche biogenetische Vorläufer des C20-Carotinoides Crocetin

Synthesis of Diterpenes as Possible Biogenetic Precursors of the C₂₀-Carotenoid Crocetin With regard to the investigation of the biosynthesis of the C₂₀-carotenoids in saffron the four diterpenes 6–9 were synthesized, who differ only in their degree of saturation. A detailed analysis of their ¹H- and ¹³C-NMR spectra has been achieved by their mutual comparison.     

On the Gerber-Shiu function and change of measure

We consider several models for the surplus of an insurance company mainly under some light-tail assumptions. We are interested in the expected discounted penalty at ruin. By a change of measure we remove the discounting, which simplifies the expression. This leads to (defective) renewal equations as they had been found by different methods in the literature. If we use the change of measure such that ruin becomes certain, the renewal equations simplify to ordinary renewal equations. This helps to discuss the asymptotics as the initial capital goes to infinity. For phase-type claim sizes, explicit formulae can be derived.     

Conditional law of risk processes given that ruin occurs

A risk process that can be Markovised is conditioned on ruin. We prove that the process remains a Markov process. If the risk process is a PDMP, it is shown that the conditioned process remains a PDMP. For many examples the asymptotics of the parameters in both the light-tailed case and the heavy-tailed case are discussed.