Systems of Functional Equations and Infinite Dimensional Gaussian Limiting Distributions in Combinatorial Enumeration
نویسندگان
چکیده
In this paper systems of functional equations in infinitely many variables arising in combinatorial enumeration problems are studied. We prove sufficient conditions under which the combinatorial random variables encoded in the generating functions of the system tend to an infinite dimensional Gaussian limiting distribution.
منابع مشابه
Infinite Systems of Functional Equations and Gaussian Limiting Distributions
Systems of functional equations for generating functions appear in many combinatorial enumeration problems, for example in tree enumeration problems or in the enumeration of planar graphs (and related problems), see Drmota (2009). Usually, these enumeration techniques can be extended to take several parameters into account: the number of vertices, the number of edges, the number of vertices of ...
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