We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions generated by elements of the symmetric group S n. We assume that parameter ρ = ±1. In previous paper [5] we proved that the fundamental solution of the corresponding KZ-equation is rational. Now we construct this solution in the explicit form.

Very little is known concerning the changes that occur in living tissue following the injection of solutions of an “active deposit’’ of radium emanation. This investigation was undertaken to determine what changes occur in the principal organs of the animal body following such a treatment, and to afford data that might act as a guide in the treatment of certain types of cancer, in which the sol...

Relations between OWFs, PRGs and PRFs (revised) Jan-Erik Ekberg February 19, 2002 1 Introdu tion These le ture notes intend to give an overview of the provable relations between one-way fun tions (OWFs), pseudorandom generators (PRGs) and pseudorandom fun tions (PRFs). Only a sele ted number of proofs and redu tions are thoroughly presented in this paper (most are left to the referen es), but t...

This article gives a short and elementary presentation of random evolutions toward applications in reliability and quality engineering. At first, the following two examples are presented: dynamical stochastic systems and increment processes both in Markov media. A dynamical system in continuous time is presented since nowadays they are widely used in dynamic reliability modeling. Limit theorems...