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Stochastic Processes and Random Matrices

Stochastic Processes and Random Matrices
Lecture Notes of the Les Houches Summer School: Volume 104, July 2015

by Grégory Schehr,Alexander Altland,Yan V. Fyodorov,Neil O'Connell,Leticia F. Cugliandolo

  • Publisher : Oxford University Press
  • Release : 2017-08-15
  • Pages : 432
  • ISBN : 0192517864
  • Language : En, Es, Fr & De
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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
A Book

by Demetrios Christodoulides,Jianke Yang

  • Publisher : Springer
  • Release : 2018-11-28
  • Pages : 579
  • ISBN : 9811312478
  • Language : En, Es, Fr & De
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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
Physics and Applications

by Eugene Kamenetskii,Almas Sadreev,Andrey Miroshnichenko

  • Publisher : Springer
  • Release : 2018-11-20
  • Pages : 582
  • ISBN : 3319997319
  • Language : En, Es, Fr & De
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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.

Photonic Probes of Surfaces

Photonic Probes of Surfaces
A Book

by P. Halevi

  • Publisher : Newnes
  • Release : 2012-12-02
  • Pages : 588
  • ISBN : 0444599347
  • Language : En, Es, Fr & De
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This volume is devoted principally to optical spectroscopies of material surfaces and also encompasses scattering techniques and theoretical response analysis as well as spectroscopies. In addition to solid surfaces some attention is also devoted to interfaces between two solids, between a solid and a liquid and to a liquid-vapor interface. These surfaces may be clean and perfect, in which case the purpose of the spectroscopical method at hand is to determine the deviation of the atomic structure in the surface region from that in the bulk, namely the surface reconstruction. Otherwise the surface may be imperfect due to roughness, strain or overlayers, in which case the spectroscopy can yield information on the nature of such imperfections, including the monitoring of growth processes. One of the foremost purposes of surface spectroscopies is to extract information on atomic and molecular adsorbates on solid surfaces. Most of the 10 chapters are concerned with photonic sources of excitation, the respective spectral regions ranging from the far infrared to X-rays. In conclusion this book provides a state-of-the-art review of all major types of photonic probes of surfaces and interfaces and deals with both applications and experiment and theory.

Computational Science and Its Applications – ICCSA 2017

Computational Science and Its Applications – ICCSA 2017
17th International Conference, Trieste, Italy, July 3-6, 2017, Proceedings

by Osvaldo Gervasi,Beniamino Murgante,Sanjay Misra,Giuseppe Borruso,Carmelo M. Torre,Ana Maria A.C. Rocha,David Taniar,Bernady O. Apduhan,Elena Stankova,Alfredo Cuzzocrea

  • Publisher : Springer
  • Release : 2017-07-13
  • Pages : 744
  • ISBN : 3319624040
  • Language : En, Es, Fr & De
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The six-volume set LNCS 10404-10409 constitutes the refereed proceedings of the 17th International Conference on Computational Science and Its Applications, ICCSA 2017, held in Trieste, Italy, in July 2017. The 313 full papers and 12 short papers included in the 6-volume proceedings set were carefully reviewed and selected from 1052 submissions. Apart from the general tracks, ICCSA 2017 included 43 international workshops in various areas of computational sciences, ranging from computational science technologies to specific areas of computational sciences, such as computer graphics and virtual reality. Furthermore, this year ICCSA 2017 hosted the XIV International Workshop On Quantum Reactive Scattering. The program also featured 3 keynote speeches and 4 tutorials.

Odyssey of Light in Nonlinear Optical Fibers

Odyssey of Light in Nonlinear Optical Fibers
Theory and Applications

by Kuppuswamy Porsezian,Ramanathan Ganapathy

  • Publisher : CRC Press
  • Release : 2017-12-19
  • Pages : 568
  • ISBN : 1351831100
  • Language : En, Es, Fr & De
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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.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
Index

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2021
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nonlinear Meta-Optics

Nonlinear Meta-Optics
A Book

by Costantino De Angelis,Giuseppe Leo,Dragomir N. Neshev

  • Publisher : CRC Press
  • Release : 2020-05-20
  • Pages : 330
  • ISBN : 1351269755
  • Language : En, Es, Fr & De
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This book addresses fabrication as well as characterization and modeling of semiconductor nanostructures in the optical regime, with a focus on nonlinear effects. The visible range as well as near and far infrared spectral region will be considered with a view to different envisaged applications. The book covers the current key challenges of the research in the area, including: exploiting new material platforms, fully extending the device operation into the nonlinear regime, adding re-configurability to the envisaged devices and proposing new modeling tools to help in conceiving new functionalities. • Explores several topics in the field of semiconductor nonlinear nanophotonics, including fabrication, characterization and modeling of semiconductor nanostructures in the optical regime, with a focus on nonlinear effects • Describes the research challenges in the field of optical metasurfaces in the nonlinear regime • Reviews the use and achievements of all-dielectric nanoantennas for strengthening the nonlinear optical response • Describes both theoretical and experimental aspects of photonic devices based on semiconductor optical nanoantennas and metasurfaces • Gathers contributions from several leading groups in this research field to provide a thorough and complete overview of the current state of the art in the field of semiconductor nonlinear nanophotonics Costantino De Angelis has been full professor of electromagnetic fields at the University of Brescia since 1998. He is an OSA Fellow and has been responsible for several university research contracts in the last 20 years within Europe, the United States, and Italy. His technical interests are in optical antennas and nanophotonics. He is the author of over 150 peer-reviewed scientific journal articles. Giuseppe Leo has been a full professor in physics at Paris Diderot University since 2004, and in charge of the nonlinear devices group of MPQ Laboratory since 2006. His research areas include nonlinear optics, micro- and nano-photonics, and optoelectronics, with a focus on AlGaAs platform. He has coordinated several research programs and coauthored 100 peer-reviewed journal articles, 200 conference papers, 10 book chapters and also has four patents. Dragomir Neshev is a professor in physics and the leader of the experimental photonics group in the Nonlinear Physics Centre at Australian National University (ANU). His activities span over several branches of optics, including nonlinear periodic structures, singular optics, plasmonics, and photonic metamaterials. He has coauthored 200 publications in international peer-reviewed scientific journals.

ERDA Energy Research Abstracts

ERDA Energy Research Abstracts
A Book

by United States. Energy Research and Development Administration

  • Publisher : Unknown Publisher
  • Release : 1977
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Fusion Energy Update

Fusion Energy Update
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1978
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Physics Briefs

Physics Briefs
Physikalische Berichte

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1994
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Nuclear Science Abstracts

Nuclear Science Abstracts
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1967
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Electrical & Electronics Abstracts

Electrical & Electronics Abstracts
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1997
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Energy Research Abstracts

Energy Research Abstracts
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2021
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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International Aerospace Abstracts

International Aerospace Abstracts
A Book

by American institute of aeronautics and astronautics. Technical information service

  • Publisher : Unknown Publisher
  • Release : 1999
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Applied Science & Technology Index

Applied Science & Technology Index
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1997
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Index to IEEE Publications

Index to IEEE Publications
A Book

by Institute of Electrical and Electronics Engineers

  • Publisher : Unknown Publisher
  • Release : 1996
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Issues for 1973- cover the entire IEEE technical literature.

Science Abstracts

Science Abstracts
Electrical & electronics abstracts. Series B

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1995
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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ERDA Energy Research Abstracts

ERDA Energy Research Abstracts
A Book

by United States. Energy Research and Development Administration

  • Publisher : Unknown Publisher
  • Release : 1977
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Government Reports Announcements & Index

Government Reports Announcements & Index
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1996-05
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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