Logarithmic combinatorial structures A probabilitic approach

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...

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Tác giả chính:	Arratia, Richard
Định dạng:	Sách
Ngôn ngữ:	Undetermined
Được phát hành:	Zürich European Mathematical Society 2003.
Những chủ đề:	Asymptotic distribution (Probability theory),Combinatorial probabilities.,Stochastic processes.,Asymptotic expansions.,Phân phối tiệm cận (thuyết xác suất)
Các nhãn:	Thêm thẻ Không có thẻ, Là người đầu tiên thẻ bản ghi này!

Thư viện lưu trữ:	Trung tâm Học liệu Trường Đại học Cần Thơ


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082			\|a 519.2
082			\|b A773
100			\|a Arratia, Richard
245		0	\|a Logarithmic combinatorial structures
245		2	\|b A probabilitic approach
245		0	\|c Richard Arratia, A.D. Barbour, Simon Tavaré
260			\|a Zürich
260			\|b European Mathematical Society
260			\|c 2003.
520			\|a 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 behavior 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. Distributed within the Americas by the American Mathematical Society.
650			\|a Asymptotic distribution (Probability theory),Combinatorial probabilities.,Stochastic processes.,Asymptotic expansions.,Phân phối tiệm cận (thuyết xác suất)
904			\|i Nguyễn Kim Chung
980			\|a Trung tâm Học liệu Trường Đại học Cần Thơ

Logarithmic combinatorial structures A probabilitic approach

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