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Random mapping statistics

by: P Flajolet, AM Odlyzko
Lecture Notes in Computer Science, Vol. 434 (1990), pp. 329-354.


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Random mappings from a finite set into itself are either a heuristic or an exact model for a variety of applications in random number generation, computational number theory, cryptography, and the analysis of algorithms at large. This paper introduces a general framework in which the analysis of about twenty characteristic parameters of random mappings is carried out: These parameters are studied systematically through the use of generating functions and singularity analysis. In...


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