Oleg Klesov's Books

Limit Theorems for Multi-Indexed Sums of Random Variables

By: Oleg Klesov

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Limit Theorems for Multi-Indexed Sums of Random Variables

By: Oleg Klesov

Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the field. Several new results are introduced, even in the classical setting, as well as some new approaches that are simpler than those already established in the literature. In particular, new proofs of the strong law of large numbers and the Hajek-Renyi inequality are detailed. Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes. Limit theorems form the backbone of probability theory and statistical theory alike. The theory of multiple sums of random variables is a direct generalization of the classical study of limit theorems, whose importance and wide application in science is unquestionable. However, to date, the subject of multiple sums has only been treated in journals. The results described in this book will be of interest to advanced undergraduates, graduate students and researchers who work on limit theorems in probability theory, the statistical analysis of random fields, as well as in the field of random sets or stochastic geometry. The central topic is also important for statistical theory, developing statistical inferences for random fields, and also has applications to the sciences, including physics and chemistry.

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Page Count

495

Publisher

Springer

Published Date

ISBN 10

3662443880

ISBN 13

9783662443880

Pseudo-Regularly Varying Functions and Generalized Renewal Processes

By: Valeriĭ V. Buldygin,Karl-Heinz Indlekofer,Oleg I. Klesov,Josef G. Steinebach

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Pseudo-Regularly Varying Functions and Generalized Renewal Processes

By: Valeriĭ V. Buldygin,Karl-Heinz Indlekofer,Oleg I. Klesov,Josef G. Steinebach

One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in many fields of mathematics. The structure of the book reflects the historical development of the authors’ research work and approach – first some applications are discussed, after which a basic theory is created, and finally further applications are provided. The authors present a generalized and unified approach to the asymptotic behavior of renewal processes, involving cases of dependent inter-arrival times. This method works for other important functionals as well, such as first and last exit times or sojourn times (also under dependencies), and it can be used to solve several other problems. For example, various applications in function analysis concerning Abelian and Tauberian theorems can be studied as well as those in studies of the asymptotic behavior of solutions of stochastic differential equations. The classes of functions that are investigated and used in a probabilistic context extend the well-known Karamata theory of regularly varying functions and thus are also of interest in the theory of functions. The book provides a rigorous treatment of the subject and may serve as an introduction to the field. It is aimed at researchers and students working in probability, the theory of stochastic processes, operations research, mathematical statistics, the theory of functions, analytic number theory and complex analysis, as well as economists with a mathematical background. Readers should have completed introductory courses in analysis and probability theory.

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Page Count

496

Publisher

Springer

Published Date

ISBN 10

3319995375

ISBN 13

9783319995373

Homogeneous Catalysis with Metal Complexes

Kinetic Aspects and Mechanisms

By: Oleg N. Temkin

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Homogeneous Catalysis with Metal Complexes

Kinetic Aspects and Mechanisms

By: Oleg N. Temkin

Homogeneous catalysis by soluble metal complexes has gained considerable attention due to its unique applications and features such as high activity and selectivity. Catalysis of this type has demonstrated impressive achievements in synthetic organic chemistry and commercial chemical technology. Homogeneous Catalysis with Metal Complexes: Kinetic Aspects and Mechanisms presents a comprehensive summary of the results obtained over the last sixty years in the field of the kinetics and mechanisms of organic and inorganic reactions catalyzed with metal complexes. Topics covered include: Specific features of catalytic reaction kinetics in the presence of various mono- and polynuclear metal complexes and nanoclusters Multi-route mechanisms and the methods of their identification, as well as approaches to the kinetics of polyfunctional catalytic systems Principles and features of the dynamic behavior of nonlinear kinetic models The potential, achievements, and limitations of applying the kinetic approach to the identification of complex reaction mechanisms The development of a rational strategy for designing kinetic models The kinetic models and mechanisms of many homogeneous catalytic processes employed in synthetic and commercial chemistry Written for specialists in the field of kinetics and catalysis, this book is also relevant for post-graduates engaged in the study

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Page Count

963

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119966825

ISBN 13

9781119966821

Chemical Reaction Networks

A Graph-Theoretical Approach

By: Oleg N. Temkin,Andrew V. Zeigarnik,D.G. Bonchev

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Chemical Reaction Networks

A Graph-Theoretical Approach

By: Oleg N. Temkin,Andrew V. Zeigarnik,D.G. Bonchev

Over the last decade, increased attention to reaction dynamics, combined with the intensive application of computers in chemical studies, mathematical modeling of chemical processes, and mechanistic studies has brought graph theory to the forefront of research. It offers an advanced and powerful formalism for the description of chemical reactions and their intrinsic reaction mechanisms. Chemical Reaction Networks: A Graph-Theoretical Approach elegantly reviews and expands upon graph theory as applied to mechanistic theory, chemical kinetics, and catalysis. The authors explore various graph-theoretical approaches to canonical representation, numbering, and coding of elementary steps and chemical reaction mechanisms, the analysis of their topological structure, the complexity estimation, and classification of reaction mechanisms. They discuss topologically distinctive features of multiroute catalytic and noncatalytic and chain reactions involving metal complexes. With it's careful balance of clear language and mathematical rigor, the presentation of the authors' significant original work, and emphasis on practical applications and examples, Chemical Reaction Networks: A Graph Theoretical Approach is both an outstanding reference and valuable tool for chemical research.

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Page Count

297

Publisher

CRC Press

Published Date

ISBN 10

1000102661

ISBN 13

9781000102666

Limit Theorems for Multi-Indexed Sums of Random Variables

By: Oleg Klesov

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Limit Theorems for Multi-Indexed Sums of Random Variables

By: Oleg Klesov

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Solve jigsaw puzzle

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Page Count

495

Publisher

Springer

Published Date

ISBN 10

3662443880

ISBN 13

9783662443880

Pseudo-Regularly Varying Functions and Generalized Renewal Processes

By: Valeriĭ V. Buldygin,Karl-Heinz Indlekofer,Oleg I. Klesov,Josef G. Steinebach

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Pseudo-Regularly Varying Functions and Generalized Renewal Processes

By: Valeriĭ V. Buldygin,Karl-Heinz Indlekofer,Oleg I. Klesov,Josef G. Steinebach

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Solve jigsaw puzzle

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Page Count

496

Publisher

Springer

Published Date

ISBN 10

3319995375

ISBN 13

9783319995373

Book's by Oleg Klesov

Limit Theorems for Multi-Indexed Sums of Random Variables

Limit Theorems for Multi-Indexed Sums of Random Variables

Pseudo-Regularly Varying Functions and Generalized Renewal Processes

Pseudo-Regularly Varying Functions and Generalized Renewal Processes

Homogeneous Catalysis with Metal Complexes

Homogeneous Catalysis with Metal Complexes

Chemical Reaction Networks

Chemical Reaction Networks

Limit Theorems for Multi-Indexed Sums of Random Variables

Limit Theorems for Multi-Indexed Sums of Random Variables

Pseudo-Regularly Varying Functions and Generalized Renewal Processes

Pseudo-Regularly Varying Functions and Generalized Renewal Processes

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