|
Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
|
Buy Now
Mathematical Foundations of the State Lumping of Large Systems (Hardcover, 1993 ed.)
Loot Price: R1,736
Discovery Miles 17 360
|
|
|
Mathematical Foundations of the State Lumping of Large Systems (Hardcover, 1993 ed.)
Series: Mathematics and Its Applications, 264
Expected to ship within 10 - 15 working days
|
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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
