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Equidistribution and Brownian Motion on the Sierpinski Gasket.

Robert F. Tichy; P. J. Grabner — 1998

Monatshefte für Mathematik

Asymptotic analysis of a class of functional equations and applications

P. J. Grabner; H. Prodinger; R. F. Tichy — 1993

Journal de théorie des nombres de Bordeaux

Flajolet and Richmond have invented a method to solve a large class of divide-and-conquer recursions. The essential part of it is the asymptotic analysis of a certain generating function for $z \to \infty$ by means of the Mellin transform. In this paper this type of analysis is performed for a reasonably large class of generating functions fulfilling a functional equation with polynomial coefficients. As an application, the average life time of a party of $N$ people is computed, where each person advances one...

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