Sergey Kitaev's Books

Patterns in Permutations and Words

By: Sergey Kitaev

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Patterns in Permutations and Words

By: Sergey Kitaev

There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan—Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, including sorting stacks and sortable permutations. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology.

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Page Count

511

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642173330

ISBN 13

9783642173332

Words and Graphs

By: Sergey Kitaev,Vadim Lozin

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Words and Graphs

By: Sergey Kitaev,Vadim Lozin

This is the first comprehensive introduction to the theory of word-representable graphs, a generalization of several classical classes of graphs, and a new topic in discrete mathematics. After extensive introductory chapters that explain the context and consolidate the state of the art in this field, including a chapter on hereditary classes of graphs, the authors suggest a variety of problems and directions for further research, and they discuss interrelations of words and graphs in the literature by means other than word-representability. The book is self-contained, and is suitable for both reference and learning, with many chapters containing exercises and solutions to seleced problems. It will be valuable for researchers and graduate and advanced undergraduate students in discrete mathematics and theoretical computer science, in particular those engaged with graph theory and combinatorics, and also for specialists in algebra.

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Page Count

278

Publisher

Springer

Published Date

ISBN 10

3319258591

ISBN 13

9783319258591

Oscillations and Resonances

By: Sergey G. Glebov,Oleg M. Kiselev,Nikolai N. Tarkhanov

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Oscillations and Resonances

By: Sergey G. Glebov,Oleg M. Kiselev,Nikolai N. Tarkhanov

This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators

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Page Count

357

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110335689

ISBN 13

9783110335682

Earthquake Precursors in the Atmosphere and Ionosphere

New Concepts

By: Sergey Pulinets,Dimitar Ouzounov,Alexander Karelin,Kyrill Boyarchuk

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Earthquake Precursors in the Atmosphere and Ionosphere

New Concepts

By: Sergey Pulinets,Dimitar Ouzounov,Alexander Karelin,Kyrill Boyarchuk

This book discusses how the increased emanation of radon and other gases from the Earth’s crust in the vicinity of active tectonic faults triggers a chain of physical processes and chemical reactions in the atmospheric boundary layer and the Earth’s ionosphere over an earthquake area several days/hours before strong seismic shocks occur. It presents the two main concepts involved in this mechanism: atmosphere ionization and the global electric circuit. The Lithosphere-Atmosphere-Ionosphere Coupling (LAIC) concept is strongly supported by experimental data showing the atmospheric and ionospheric precursors for major recent earthquakes including 2004 Sumatra; 2008 Sichuan, China; 2011 Tohoku, Japan; and 2015 Nepal. The book not only addresses the theoretical considerations but also includes information on experimental techniques used for precursor observations based on the space-borne systems. Providing practical methods of precursor identification and interpretation, it is an excellent textbook for graduate courses in geophysics, earthquake science, atmospheric physics and remote sensing. Moreover, it offers a wealth of information for scientists and experts from governmental and international agencies working in the fields of natural-disaster mitigation, response and recovery.

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Page Count

309

Publisher

Springer Nature

Published Date

ISBN 10

9402421726

ISBN 13

9789402421729

Physics, Chemistry and Application of Nanostructures

Reviews and Short Notes to Nanomeeting 2007, Minsk, Belarus, May 22-25, 2007

By: V. E. Borisenko,V. S. Gurin,Sergey V. Gaponenko

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Physics, Chemistry and Application of Nanostructures

Reviews and Short Notes to Nanomeeting 2007, Minsk, Belarus, May 22-25, 2007

By: V. E. Borisenko,V. S. Gurin,Sergey V. Gaponenko

This proceedings volume presents invited reviews and original short notes of recent results obtained in studies concerning the fabrication and application of nanostructures, which hold great promise for the new generation of electronic and optoelectronic devices. Governing exciting and relatively new topics such as fast-progressing nanoelectronics and optoelectronics, molecular electronics and spintronics, as well as nanotechnology and quantum processing of information, this book gives readers a more complete understanding of the practical uses of nanotechnology and nanostructures.

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Page Count

630

Publisher

World Scientific

Published Date

ISBN 10

981277095X

ISBN 13

9789812770950

Strongly Correlated Electrons in Two Dimensions

By: Sergey Kravchenko

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Strongly Correlated Electrons in Two Dimensions

By: Sergey Kravchenko

The properties of strongly correlated electrons confined in two dimensions are a forefront area of modern condensed matter physics. In the past two or three decades, strongly correlated electron systems have garnered a great deal of scientific interest due to their unique and often unpredictable behavior. Two of many examples are the metallic state and the metal–insulator transition discovered in 2D semiconductors: phenomena that cannot occur in noninteracting systems. Tremendous efforts have been made, in both theory and experiment, to create an adequate understanding of the situation; however, a consensus has still not been reached. Strongly Correlated Electrons in Two Dimensions compiles and details cutting-edge research in experimental and theoretical physics of strongly correlated electron systems by leading scientists in the field. The book covers recent theoretical work exploring the quantum criticality of Mott and Wigner–Mott transitions, experiments on the metal–insulator transition and related phenomena in clean and dilute systems, the effect of spin and isospin degrees of freedom on low-temperature transport in two dimensions, electron transport near the 2D Mott transition, experimentally observed temperature and magnetic field dependencies of resistivity in silicon-based systems with different levels of disorder, and microscopic theory of the interacting electrons in two dimensions. Edited by Sergey Kravchenko, a prominent experimentalist, this book will appeal to advanced graduate-level students and researchers specializing in condensed matter physics, nanophysics, and low-temperature physics, especially those involved in the science of strong correlations, 2D semiconductors, and conductor–insulator transitions.

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Page Count

244

Publisher

CRC Press

Published Date

ISBN 10

9814745383

ISBN 13

9789814745383

Patterns in Permutations and Words

By: Sergey Kitaev

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Patterns in Permutations and Words

By: Sergey Kitaev

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N/A

Write a review

Solve jigsaw puzzle

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Page Count

511

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642173330

ISBN 13

9783642173332

Book's by Sergey Kitaev

Patterns in Permutations and Words

Patterns in Permutations and Words

Words and Graphs

Words and Graphs

Oscillations and Resonances

Oscillations and Resonances

Earthquake Precursors in the Atmosphere and Ionosphere

Earthquake Precursors in the Atmosphere and Ionosphere

Physics, Chemistry and Application of Nanostructures

Physics, Chemistry and Application of Nanostructures

Strongly Correlated Electrons in Two Dimensions

Strongly Correlated Electrons in Two Dimensions

Patterns in Permutations and Words

Patterns in Permutations and Words

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