Logarithmic Combinatorial Structures: a Probabilistic Approach

Logarithmic Combinatorial Structures: a Probabilistic Approach By Richard Arratia, A.D. Barbour, Simon Tavare
Publisher: European Mathematical Society 2003 | 352 Pages | ISBN: 3037190000 | DJVU | 2 mb

The elements of many classical combinatorial structures can be naturally decomposed into components. Permutations can be decomposed into cycles, polynomials over a finite field into irreducible factors, mappings into connected components. In all of these examples, and in many more, there are strong similarities between the numbers of components of different sizes that are found in the decompositions of 'typical' elements of large size. For instance, the total number of components grows logarithmically with the size of the element, and the size of the largest component is an appreciable fraction of the whole. This book explains the similarities in asymptotic behaviour as the result of two basic properties shared by the structures: the conditioning relation and the logarithmic condition. The discussion is conducted in the language of probability, enabling the theory to be developed under rather general and explicit conditions; for the finer conclusions, Stein's method emerges as the key ingredient. The book is thus of particular interest to graduate students and researchers in both combinatorics and probability theory.




All my books in one folder is here below, please! Follow Rules!

[Fast Download] Logarithmic Combinatorial Structures: a Probabilistic Approach

Related eBooks:
Infinite Dimensional Dynamical Systems
The Theory of Linear Prediction
Introduction to the Finite Element Method in Electromagnetics
Topological Vector Spaces
Mathematical Modelling in Plant Biology
Universal Algebra
A Passage to Abstract Mathematics
Groups of Circle Diffeomorphisms
Gladiators, Pirates and Games of Trust: How Game Theory, Strategy and Probability Rule Our Lives
Comparison Methods and Stability Theory
Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015)
The Boundary Integral Approach to Static and Dynamic Contact Problems by Heinz Antes
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.