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Stability Theorems in Geometry and Analysis, Yu.G. Reshetnyak


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Автор: Yu.G. Reshetnyak
Название:  Stability Theorems in Geometry and Analysis
ISBN: 9789048144679
Издательство: Springer
Классификация: ISBN-10: 9048144671
Обложка/Формат: Paperback
Страницы: 394
Вес: 0.57 кг.
Дата издания: 15.12.2010
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 21
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 1. Preliminaries, Notation, and Terminology n n 1.1. Sets and functions in lR. - Throughout the book, lR. stands for the n-dimensional arithmetic space of points x = (X}, X2, , xn)j Ixl is the length of n n a vector x E lR. and (x, y) is the scalar product of vectors x and y in lR., i.e., for x = (Xl, X2, -.-, xn) and y = (y}, Y2, --., Yn), Ixl = Jx + x + ... + x, (x, y) = XIYl + X2Y2 + ... + XnYn. n Given arbitrary points a and b in lR., we denote by a, b] the segment that joins n them, i.e. the collection of points x E lR. of the form x = >.a + Ib, where>. + I = 1 and >. 0, I O. n We denote by ei, i = 1,2, ..., n, the vector in lR. whose ith coordinate is equal to 1 and the others vanish. The vectors el, e2, ..., en form a basis for the space n lR., which is called canonical. If P( x) is some proposition in a variable x and A is a set, then {x E A I P(x)} denotes the collection of all the elements of A for which the proposition P( x) is true.


Limit Theorems for Stochastic Processes

Автор: Jacod Jean, Shiryaev Albert N.
Название: Limit Theorems for Stochastic Processes
ISBN: 3540439323 ISBN-13(EAN): 9783540439325
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results. The book contains an introduction to the theory of martingales and semimartingales, random measures stochastic integrales, Skorokhod topology, etc., as well as a large number of results which have never appeared in book form, and some entirely new results. The second edition contains some additions to the text and references. Some parts are completely rewritten.

Uniform Central Limit Theorems

Автор: Dudley
Название: Uniform Central Limit Theorems
ISBN: 0521738415 ISBN-13(EAN): 9780521738415
Издательство: Cambridge Academ
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Цена: 7762.00 р.
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Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.

Stability Theorems in Geometry and Analysis

Автор: Yu.G. Reshetnyak
Название: Stability Theorems in Geometry and Analysis
ISBN: 0792331184 ISBN-13(EAN): 9780792331186
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Covers the metric theory of spatial mappings and incorporates results in the theory of quasi-conformal, quasi-isometric and other mappings. The main subject of this text is the study of the stability problem in Liouville`s theorem on conformal mappings in space.

Evolution of Biological Systems in Random Media: Limit Theorems and Stability

Автор: Anatoly Swishchuk; Jianhong Wu
Название: Evolution of Biological Systems in Random Media: Limit Theorems and Stability
ISBN: 9048163986 ISBN-13(EAN): 9789048163984
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The authors of this work use a novel strategy that combines record linkage and demographic/statistical analysis to produce an internally consistent and robust set of estimates of the African-American population during the period 1930-1990. They interpret the record that emerges, with special reference to longevity trends and differentials.

Summation Theorems in Structural Stability

Автор: T. Tarnai
Название: Summation Theorems in Structural Stability
ISBN: 3211827048 ISBN-13(EAN): 9783211827048
Издательство: Springer
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Цена: 12157.00 р.
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Описание: This volume is the first to give the mathematical background and a comprehensive survey of the old and new summation formulae resulting in an approximate value of the critical load factor of a complex problem by means of the critical load factors of subproblems by addition.

Problems and Theorems in Analysis

Автор: C.E. Billigheimer; Georg Polya; Gabor Szeg?
Название: Problems and Theorems in Analysis
ISBN: 0387902910 ISBN-13(EAN): 9780387902913
Издательство: Springer
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Цена: 11179.00 р.
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Theorems and Problems in Functional Analysis

Автор: A. A. Kirillov; H. H. McFaden; A. D. Gvishiani
Название: Theorems and Problems in Functional Analysis
ISBN: 038790638X ISBN-13(EAN): 9780387906386
Издательство: Springer
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Цена: 8378.00 р.
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Описание: Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on.

Problems and Theorems in Analysis

Автор: Georg Polya; Dorothee Aeppli; Gabor Szeg?
Название: Problems and Theorems in Analysis
ISBN: 0387902244 ISBN-13(EAN): 9780387902241
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The present English edition is not a mere translation of the German original. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space.

Theorems and Problems in Functional Analysis

Автор: A. A. Kirillov; H. H. McFaden; A. D. Gvishiani
Название: Theorems and Problems in Functional Analysis
ISBN: 146138155X ISBN-13(EAN): 9781461381556
Издательство: Springer
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Цена: 8378.00 р.
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Limit Theorems on Large Deviations for Markov Stochastic Processes

Автор: A.D. Wentzell
Название: Limit Theorems on Large Deviations for Markov Stochastic Processes
ISBN: 0792301439 ISBN-13(EAN): 9780792301431
Издательство: Springer
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Цена: 10760.00 р.
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Описание: One service mathematics has rendered the 'Et BIOi. .... si j'avait su comment en revenir. human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Math@matics is a tool for thought. A highly necessary tool in a world where both feedback and non- Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Limit Theorems in Probability, Statistics and Number Theory

Автор: Peter Eichelsbacher; Guido Elsner; Holger K?sters;
Название: Limit Theorems in Probability, Statistics and Number Theory
ISBN: 3642433960 ISBN-13(EAN): 9783642433962
Издательство: Springer
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Цена: 16769.00 р.
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Описание:

​Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory.

The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich G tze, a noted expert in this field.


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