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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.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1995
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

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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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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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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International Aerospace Abstracts

International Aerospace Abstracts
A Book

by American institute of aeronautics and astronautics,États-Unis. National aeronautics and space administration

  • Publisher : Unknown Publisher
  • Release : 1999
  • 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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Dissertation Abstracts International

Dissertation Abstracts International
The sciences and engineering. B

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2008
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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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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Technical Digest

Technical Digest
Summaries of Papers Presented at the International Quantum Electronics Conference

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1990
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Postconference Digest

Postconference Digest
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1990
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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INIS Atomindeks

INIS Atomindeks
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1996
  • 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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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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Engineering Index

Engineering Index
Annual 1978, Volume 77

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1979
  • Pages : 1910
  • ISBN : 9780911820799
  • Language : En, Es, Fr & De
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Nuclear Science Abstracts

Nuclear Science Abstracts
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2021
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Optical Engineering

Optical Engineering
The Journal of the Society of Photo-optical Instrumentation Engineers

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1998
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Publishes papers reporting on research and development in optical science and engineering and the practical applications of known optical science, engineering, and technology.

Science Citation Index

Science Citation Index
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1993
  • Pages : 31
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Vols. for 1964- have guides and journal lists.