Alexey Shashkin's Books

Limit Theorems For Associated Random Fields And Related Systems

By: Alexander Bulinski,Alexey Shashkin

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Limit Theorems For Associated Random Fields And Related Systems

By: Alexander Bulinski,Alexey Shashkin

This volume is devoted to the study of asymptotic properties of wide classes of stochastic systems arising in mathematical statistics, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the pioneering papers by Harris, Lehmann, Esary, Proschan, Walkup, Fortuin, Kasteleyn and Ginibre, but also to new and more general dependence conditions. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov processes, random measures, stable distributions, Ising ferromagnets, interacting particle systems, stochastic differential equations, random graphs and other models are provided. For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and discuss their applications.There are 434 items in the bibliography.The book is self-contained, provides detailed proofs, for reader's convenience some auxiliary results are included in the Appendix (e.g. the classical Hoeffding lemma, basic electric current theory etc.).

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Page Count

447

Publisher

World Scientific

Published Date

ISBN 10

9814474576

ISBN 13

9789814474573

Microcavities

By: Alexey Kavokin

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Microcavities

By: Alexey Kavokin

This is the first book to cover a new and rapidly developing research field in physics. Confining light in small structures called microcavities produces new devices which exploit the quantum physics of light matter interactions.

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Page Count

487

Publisher

Oxford University Press

Published Date

ISBN 10

0199602271

ISBN 13

9780199602278

Cavity Polaritons

By: Alexey Kavokin,Guillaume Malpuech

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Cavity Polaritons

By: Alexey Kavokin,Guillaume Malpuech

Volume 32 of the series addresses one of the most rapidly developing research fields in physics: microcavities. Microcavities form a base for fabrication of opto-electronic devices of XXI century, in particular polariton lasers based on a new physical principle with respect to conventional lasers proposed by Einstein in 1917. This book overviews a theory of all major phenomena linked microcavities and exciton-polaritons and is oriented to the reader having no background in solid state theory as well as to the advanced readers interested in theory of exciton-polaritons in microcavities. All major experimental discoveries in the field are addressed as well.·The book is oriented to a general reader and is easy to read for a non-specialist.·Contains an overview of the most essential effects in physics of microcavities experimentally observed and theoretically predicted during the recent decade such as:. ·Bose-Einstein condensation at room temperature.·Lasers without inversion of population.·Microcavity boom: optics of the XXI century!·Frequently asked questions on microcavities and responses without formulas. ·Half-light-half-matter quasi-particles: base for the future optoelectronic devices

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Page Count

248

Publisher

Elsevier

Published Date

ISBN 10

008048137X

ISBN 13

9780080481371

Limit Theorems For Associated Random Fields And Related Systems

By: Alexander Bulinski,Alexey Shashkin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Limit Theorems For Associated Random Fields And Related Systems

By: Alexander Bulinski,Alexey Shashkin

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

447

Publisher

World Scientific

Published Date

ISBN 10

9814474576

ISBN 13

9789814474573

Book's by Alexey Shashkin

Limit Theorems For Associated Random Fields And Related Systems

Limit Theorems For Associated Random Fields And Related Systems

Microcavities

Microcavities

Cavity Polaritons

Cavity Polaritons

Limit Theorems For Associated Random Fields And Related Systems

Limit Theorems For Associated Random Fields And Related Systems

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