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Cycle Representations of Markov Processes

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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 29X/5 ( reviews)

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Book Synopsis Cycle Representations of Markov Processes by : Sophia L. Kalpazidou

Download or read book Cycle Representations of Markov Processes written by Sophia L. Kalpazidou. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: This book provides new insight into Markovian dependence via the cycle decompositions. It presents a systematic account of a class of stochastic processes known as cycle (or circuit) processes - so-called because they may be defined by directed cycles. An important application of this approach is the insight it provides to electrical networks and the duality principle of networks. This expanded second edition adds new advances, which reveal wide-ranging interpretations of cycle representations such as homologic decompositions, orthogonality equations, Fourier series, semigroup equations, and disintegration of measures. The text includes chapter summaries as well as a number of detailed illustrations.

Stochastic Processes and Related Topics

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 300/5 ( reviews)

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Book Synopsis Stochastic Processes and Related Topics by : Ioannis Karatzas

Download or read book Stochastic Processes and Related Topics written by Ioannis Karatzas. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: In the last twenty years extensive research has been devoted to a better understanding of the stable and other closely related infinitely divisible mod els. Stamatis Cambanis, a distinguished educator and researcher, played a special leadership role in the development of these research efforts, particu larly related to stable processes from the early seventies until his untimely death in April '95. This commemorative volume consists of a collection of research articles devoted to reviewing the state of the art of this and other rapidly developing research and to explore new directions of research in these fields. The volume is a tribute to the Life and Work of Stamatis by his students, friends, and colleagues whose personal and professional lives he has deeply touched through his generous insights and dedication to his profession. Before the idea of this volume was conceived, two conferences were held in the memory of Stamatis. The first was organized by the University of Athens and the Athens University of Economics and was held in Athens during December 18-19, 1995. The second was a significant part of a Spe cial IMS meeting held at the campus of the University of North Carolina at Chapel Hill during October 17-19, 1996. It is the selfless effort of sev eral people that brought about these conferences. We believe that this is an appropriate place to acknowledge their effort; and on behalf of all the participants, we extend sincere thanks to all these persons.

Probability Theory and Mathematical Statistics

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Release : 2020-05-05
Genre : Mathematics
Kind : eBook
Book Rating : 488/5 ( reviews)

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Book Synopsis Probability Theory and Mathematical Statistics by : B. Grigelionis

Download or read book Probability Theory and Mathematical Statistics written by B. Grigelionis. This book was released on 2020-05-05. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probability Theory and Mathematical Statistics".

Approximation and Computation in Science and Engineering

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Release : 2022-05-05
Genre : Mathematics
Kind : eBook
Book Rating : 227/5 ( reviews)

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Book Synopsis Approximation and Computation in Science and Engineering by : Nicholas J. Daras

Download or read book Approximation and Computation in Science and Engineering written by Nicholas J. Daras. This book was released on 2022-05-05. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume. It is addressed to graduate students, research mathematicians, physicists, and engineers. Individual contributions are devoted to topics of approximation theory, functional equations and inequalities, fixed point theory, numerical analysis, theory of wavelets, convex analysis, topology, operator theory, differential operators, fractional integral operators, integro-differential equations, ternary algebras, super and hyper relators, variational analysis, discrete mathematics, cryptography, and a variety of applications in interdisciplinary topics. Several of these domains have a strong connection with both theories and problems of linear and nonlinear optimization. The combination of results from various domains provides the reader with a solid, state-of-the-art interdisciplinary reference to theory and problems. Some of the works provide guidelines for further research and proposals for new directions and open problems with relevant discussions.

Mathematical Analysis and Applications

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Release : 2019-12-12
Genre : Mathematics
Kind : eBook
Book Rating : 395/5 ( reviews)

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Book Synopsis Mathematical Analysis and Applications by : Themistocles M. Rassias

Download or read book Mathematical Analysis and Applications written by Themistocles M. Rassias. This book was released on 2019-12-12. Available in PDF, EPUB and Kindle. Book excerpt: An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.

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