June 18, 2021

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Stochastic Processes and Random Matrices

Stochastic Processes and Random Matrices
Author : Grégory Schehr,Alexander Altland,Yan V. Fyodorov,Neil O'Connell,Leticia F. Cugliandolo
Publisher : Oxford University Press
Release Date : 2017-08-15
Category : Science
Total pages :432
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The field of stochastic processes and Random Matrix Theory (RMT) has been a rapidly evolving subject during the last fifteen years. The continuous development and discovery of new tools, connections and ideas have led to an avalanche of new results. These breakthroughs have been made possible thanks, to a large extent, to the recent development of various new techniques in RMT. Matrix models have been playing an important role in theoretical physics for a long time and they are currently also a very active domain of research in mathematics. An emblematic example of these recent advances concerns the theory of growth phenomena in the Kardar-Parisi-Zhang (KPZ) universality class where the joint efforts of physicists and mathematicians during the last twenty years have unveiled the beautiful connections between this fundamental problem of statistical mechanics and the theory of random matrices, namely the fluctuations of the largest eigenvalue of certain ensembles of random matrices. This text not only covers this topic in detail but also presents more recent developments that have emerged from these discoveries, for instance in the context of low dimensional heat transport (on the physics side) or integrable probability (on the mathematical side).

Parity-time Symmetry and Its Applications

Parity-time Symmetry and Its Applications
Author : Demetrios Christodoulides,Jianke Yang
Publisher : Springer
Release Date : 2018-11-28
Category : Science
Total pages :579
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This book offers a comprehensive review of the state-of-the-art theoretical and experimental advances in linear and nonlinear parity-time-symmetric systems in various physical disciplines, and surveys the emerging applications of parity-time (PT) symmetry. PT symmetry originates from quantum mechanics, where if the Schrodinger operator satisfies the PT symmetry, then its spectrum can be all real. This concept was later introduced into optics, Bose-Einstein condensates, metamaterials, electric circuits, acoustics, mechanical systems and many other fields, where a judicious balancing of gain and loss constitutes a PT-symmetric system. Even though these systems are dissipative, they exhibit many signature properties of conservative systems, which make them mathematically and physically intriguing. Important PT-symmetry applications have also emerged. This book describes the latest advances of PT symmetry in a wide range of physical areas, with contributions from the leading experts. It is intended for researchers and graduate students to enter this research frontier, or use it as a reference book.

Fano Resonances in Optics and Microwaves

Fano Resonances in Optics and Microwaves
Author : Eugene Kamenetskii,Almas Sadreev,Andrey Miroshnichenko
Publisher : Springer
Release Date : 2018-11-20
Category : Science
Total pages :582
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This book discusses the development of Fano-based techniques and reveals the characteristic properties of various wave processes by studying interference phenomena. It explains that the interaction of discrete (localized) states with a continuum of propagation modes leads to Fano interference effects in transmission, and explores novel coherent effects such as bound states in the continuum accompanied by collapse of Fano resonance. Originating in atomic physics, Fano resonances have become one of the most appealing phenomena of wave scattering in optics, microwaves, and terahertz techniques. The generation of extremely strong and confined fields at a deep subwavelength scale, far beyond the diffraction limit, plays a central role in modern plasmonics, magnonics, and in photonic and metamaterial structures. Fano resonance effects take advantage of the coupling of these bound states with a continuum of radiative electromagnetic waves. With their unique physical properties and unusual combination of classical and quantum structures, Fano resonances have an application potential in a wide range of fields, from telecommunication to ultrasensitive biosensing, medical instrumentation and data storage. Including contributions by international experts and covering the essential aspects of Fano-resonance effects, including theory, modeling and design, proven and potential applications in practical devices, fabrication, characterization and measurement, this book enables readers to acquire the multifaceted understanding required for these multidisciplinary challenges.

Odyssey of Light in Nonlinear Optical Fibers

Odyssey of Light in Nonlinear Optical Fibers
Author : Kuppuswamy Porsezian,Ramanathan Ganapathy
Publisher : CRC Press
Release Date : 2017-12-19
Category : Science
Total pages :568
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Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications presents a collection of breakthrough research portraying the odyssey of light from optical solitons to optical rogue waves in nonlinear optical fibers. The book provides a simple yet holistic view on the theoretical and application-oriented aspects of light, with a special focus on the underlying nonlinear phenomena. Exploring the very frontiers of light-wave technology, the text covers the basics of nonlinear fiberoptics and the dynamics of electromagnetic pulse propagation in nonlinear waveguides. It also highlights some of the latest advances in nonlinear optical fiber technology, discussing hidden symmetry reductions and Ablowitz–Kaup–Newell–Segur (AKNS) hierarchies for nonautonomous solitons, state-of-the-art Brillouin scattering applications, backpropagation, and the concept of eigenvalue communication—a powerful nonlinear digital signal processing technique that paves the way to overcome the current limitations of traditional communications methods in nonlinear fiber channels. Key chapters study the feasibility of the eigenvalue demodulation scheme based on digital coherent technology by throwing light on the experimental study of the noise tolerance of the demodulated eigenvalues, investigate matter wave solitons and other localized excitations pertaining to Bose–Einstein condensates in atom optics, and examine quantum field theory analogue effects occurring in binary waveguide arrays, plasmonic arrays, etc., as well as their ensuing nonlinear wave propagation. Featuring a foreword by Dr. Akira Hasegawa, the father of soliton communication systems, Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications serves as a curtain raiser to usher in the photonics era. The technological innovations at the core of the book form the basis for the next generation of ultra-high speed computers and telecommunication devices.

Physics Briefs

Physics Briefs
Author : Anonim
Publisher : Unknown
Release Date : 1994
Category : Physics
Total pages :129
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Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
Author : Anonim
Publisher : Unknown
Release Date : 2021
Category : Aeronautics
Total pages :129
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Electrical & Electronics Abstracts

Electrical & Electronics Abstracts
Author : Anonim
Publisher : Unknown
Release Date : 1997
Category : Electrical engineering
Total pages :129
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International Aerospace Abstracts

International Aerospace Abstracts
Author : American institute of aeronautics and astronautics,États-Unis. National aeronautics and space administration
Publisher : Unknown
Release Date : 1999
Category :
Total pages :129
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Applied Science & Technology Index

Applied Science & Technology Index
Author : Anonim
Publisher : Unknown
Release Date : 1997
Category : Electronic journals
Total pages :129
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Government Reports Announcements & Index

Government Reports Announcements & Index
Author : Anonim
Publisher : Unknown
Release Date : 1995
Category : Science
Total pages :129
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Index to IEEE Publications

Index to IEEE Publications
Author : Institute of Electrical and Electronics Engineers
Publisher : Unknown
Release Date : 1996
Category : Electric engineering
Total pages :129
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Issues for 1973- cover the entire IEEE technical literature.

Science Abstracts

Science Abstracts
Author : Anonim
Publisher : Unknown
Release Date : 1995
Category : Electrical engineering
Total pages :129
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Technical Digest

Technical Digest
Author : Anonim
Publisher : Unknown
Release Date : 1990
Category : Quantum electronics
Total pages :129
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Postconference Digest

Postconference Digest
Author : Anonim
Publisher : Unknown
Release Date : 1990
Category : Quantum electronics
Total pages :129
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INIS Atomindeks

INIS Atomindeks
Author : Anonim
Publisher : Unknown
Release Date : 1996
Category : Nuclear energy
Total pages :129
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