Complete convergence and Cesàro summation for i.i.d. random variables

Summary Various results generalizing summation methods for divergent series of real numbers to analogous results for independent, identically distributed random variables have appeared during the last two decades. The main result of this paper provides necessary and sufficient conditions for the complete convergence of the Cesàro means of i.i.d random variables.     

Relativquadratische Zahlkörper,deren Klassenzahl durch eine vorgegebene ungerade Primzahl teilbar ist

Ohne Zusammenfassung Herrn Paul Finsler zum sechzigsten Geburtstage gewidmet     

Finite differences on triangular grids

We define a finite differences method for triangular grids and we show how to link it to a finite element method. From this new point of view we then analyze properties of the solution and convergence. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 567–579, 1998     

Visualization of turbulent combustion of TNT detonation products in a steel vessel

Mixing and afterburning of TNT detonation products in a steel vessel are recorded by the use of the Schlieren visualization system and high speed photography. The vessel is filled with air or 50% oxygen enriched air. Overpressure histories at the vessel wall are also recorded by using pressure transducers. In these experiments nitrogen, air or 50% oxygen enriched air are used as vessel fillers. The Oppenheim-Kuhl theory of thermodynamics of closed systems is applied to estimate the released energy on the basis of pressure histories. Received 29 August 1999 / Accepted 21 January 2000     

Weitere Untersuchungen über die Primidealzerlegung in gewissen relativ-ikosaedrischen Zahlkörpern

Ohne Zusammenfassung     

The gambler’s ruin problem with delays

A recent paper by  Pozdnyakov and Steele (2010) is devoted to the so-called binary-plus-passive design. Two problems that the authors do not consider can be identified with the classical gambler’s ruin problem in which delays are allowed.