Strata of random mappings - A combinatorial approach

Michael Drmota and Bernhard Gittenberger

Stochastic Processes and their Applications, 1999, vol. 82, issue 2, 157-171

Abstract: Consider the functional graph of a random mapping from an n-element set into itself. Then the number of nodes in the strata of this graph can be viewed as stochastic process. Using a generating function approach it is shown that a suitable normalization of this process converges weakly to local time of reflecting Brownian bridge.

Keywords: Random; mappings; Brownian; bridge; Local; time (search for similar items in EconPapers)
Date: 1999
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