The fourth moment in Luby's distribution

Abstract

Luby (1988) proposed a way to derandomize randomized computations which is based on the construction of a small probability space whose elements are 3-wise independent. In this paper we prove some new properties of Luby's space. More precisely, we analyze the fourth moment and prove an interesting technical property which helps to understand better Luby's distribution. As an application, we study the behavior of random edge cuts in a weighted graph. (orig.)SIGLEAvailable from TIB Hannover: RR 1912(95-1-019) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekCommission of the European Communities, Brussels (Belgium). European Programme for Research and Development in Information Technology (ESPRIT); Ministry of Education, Athens (Greece)DEGerman