Department of Statistics, Imam Khomeini International University (RA)
Abstract
Analytic combinatorics is an attempt to enable quantitative predictions of the properties of large combinatorics. The theory has emerged in recent decades as a basis for the analysis of algorithms and the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory.
With a careful combination of symbolic evaluation methods, complex analysis, generating functions, and saddle point analysis, the theory is used to study basic structures such as permutations, sequences, strings, walks, paths, trees, graphs, and maps. The purpose of this article is to introduce the sequential steps of an analytic combinatorics.
