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Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications)
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Vladimir S. Korolyuk 作者
Springer
譯者
1993-08-31 出版日期
288 頁數
USD 139.00 價格
Hardcover
叢書系列
9780792324133 圖書編碼

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Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications) 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications) 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


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Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications) 在線電子書 著者簡介

Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications) 在線電子書 著者簡介

Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications) 在線電子書 圖書描述

This volume is devoted to theoretical results which formalize the concept of state lumping: the transformation of evolutions of systems having a complex (large) phase space to those having a simpler (small) phase space. The theory of phase lumping has aspects in common with averaging methods, projection formalism, stiff systems of differential equations, and other asymptotic theorems. Numerous examples are presented in this book from the theory and applications of random processes, and statistical and quantum mechanics which illustrate the potential capabilities of the theory developed. The volume contains seven chapters. Chapter 1 presents an exposition of the basic notions of the theory of linear operators. Chapter 2 discusses aspects of the theory of semigroups of operators and Markov processes which have relevance to what follows. In Chapters 3--5, invertibly reducible operators perturbed on the spectrum are investigated, and the theory of singularly perturbed semigroups of operators is developed assuming that the perturbation is subordinated to the perturbed operator. The case of arbitrary perturbation is also considered, and the results are presented in the form of limit theorems and asymptotic expansions. Chapters 6 and 7 describe various applications of the method of phase lumping to Markov and semi-Markov processes, dynamical systems, quantum mechanics, etc. The applications discussed are by no means exhaustive and this book points the way to many more fruitful applications in various other areas. For researchers whose work involves functional analysis, semigroup theory, Markov processes and probability theory.

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