• Home
  • Stochastic Processes and Random Matrices

Stochastic Processes and Random Matrices

Stochastic Processes and Random Matrices
  • Author : Grégory Schehr
  • Publsiher : Oxford University Press
  • Release : 15 August 2017
  • ISBN : 0192517864
  • Pages : 432 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKStochastic Processes and Random Matrices

Summary:
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).


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 : 15 August 2017
GET THIS BOOKStochastic Processes and Random Matrices

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


Parity-time Symmetry and Its Applications

Parity-time Symmetry and Its Applications
  • Author : Demetrios Christodoulides,Jianke Yang
  • Publisher : Springer
  • Release : 28 November 2018
GET THIS BOOKParity-time Symmetry and Its Applications

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


Fano Resonances in Optics and Microwaves

Fano Resonances in Optics and Microwaves
  • Author : Eugene Kamenetskii,Almas Sadreev,Andrey Miroshnichenko
  • Publisher : Springer
  • Release : 20 November 2018
GET THIS BOOKFano Resonances in Optics and Microwaves

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,


Microwave Photonics

Microwave Photonics
  • Author : Jianping Yao
  • Publisher : Wiley
  • Release : 25 August 2027
GET THIS BOOKMicrowave Photonics

This book is the first authored in the area of microwave photonics. It presents an overview of techniques developed in the last 30 years in microwave photonics. The topics covered include: photonics generation of microwave signals, photonics processing of microwave signals, photonics distribution of microwave signals, photonic generation and distribution of UWB signals, photonics generation and processing of arbitrary microwave signals, photonic true time delay beamforming for phased array antennas, photonics-assisted instantaneous microwave frequency measurement, and photonic analog-to-digital conversion. Existing books


A Short Course on Topological Insulators

A Short Course on Topological Insulators
  • Author : János K. Asbóth,László Oroszlány,András Pályi Pályi
  • Publisher : Springer
  • Release : 22 February 2016
GET THIS BOOKA Short Course on Topological Insulators

This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal


Photonic Crystals: Physics and Technology

Photonic Crystals: Physics and Technology
  • Author : Concita Sibilia,Trevor M. Benson,Marian Marciniak,Tomasz Szoplik
  • Publisher : Springer Science & Business Media
  • Release : 03 February 2009
GET THIS BOOKPhotonic Crystals: Physics and Technology

The aim of the work is give an overview of the activity in the field of Photonic Crystal developed in the frame of COST P11 action . The main objective of the COST P11 action was to unify and coordinate national efforts aimed at studying linear and nonlinear optical interactions with Photonic Crystals (PCs), without neglecting an important aspect related to the material research as idea and methods of realizations of 3D PC, together with the development and implementation of measurement


Introduction to Biophotonics

Introduction to Biophotonics
  • Author : Paras N. Prasad
  • Publisher : John Wiley & Sons
  • Release : 16 January 2004
GET THIS BOOKIntroduction to Biophotonics

Paras Prasad’s text provides a basic knowledge of a broadrange of topics so that individuals in all disciplines can rapidlyacquire the minimal necessary background for research anddevelopment in biophotonics. Introduction to Biophotonics serves asboth a textbook for education and training as well as a referencebook that aids research and development of those areas integratinglight, photonics, and biological systems. Each chapter contains atopic introduction, a review of key data, and description of futuredirections for technical innovation. Introduction to Biophotonicscovers the



Long-Wavelength Semiconductor Lasers

Long-Wavelength Semiconductor Lasers
  • Author : Govind Agrawal
  • Publisher : Springer
  • Release : 12 June 2012
GET THIS BOOKLong-Wavelength Semiconductor Lasers

Since its invention in 1962, the semiconductor laser has come a long way. Advances in material purity and epitaxial growth techniques have led to a variety of semiconductor lasers covering a wide wavelength range of 0. 3- 100 ILm. The development during the 1970s of GaAs semiconductor lasers, emitting in the near-infrared region of 0. 8--0. 9 ILm, resulted in their use for the first generation of optical fiber communication systems. However, to take advantage of low losses in silica fibers occurring around 1. 3 and 1. 55 ILm,


Optical Solitons

Optical Solitons
  • Author : Yuri S. Kivshar,Govind Agrawal
  • Publisher : Academic Press
  • Release : 12 June 2003
GET THIS BOOKOptical Solitons

The current research into solitons and their use in fiber optic communications is very important to the future of communications. Since the advent of computer networking and high speed data transmission technology people have been striving to develop faster and more reliable communications media. Optical pulses tend to broaden over relatively short distances due to dispersion, but solitons on the other hand are not as susceptible to the effects of dispersion, and although they are subject to losses due to


PT Symmetry

PT Symmetry
  • Author : Carl M Bender
  • Publisher : World Scientific Publishing
  • Release : 22 November 2018
GET THIS BOOKPT Symmetry

Originated by the author in 1998, the field of PT (parity-time) symmetry has become an extremely active and exciting area of research. PT-symmetric quantum and classical systems have theoretical, experimental, and commercial applications, and have been the subject of many journal articles, PhD theses, conferences, and symposia. Carl Bender's work has influenced major advances in physics and generations of students. This book is an accessible entry point to PT symmetry, ideal for students and scientists looking to begin their own research


Nonlinear Optics and Photonics

Nonlinear Optics and Photonics
  • Author : Guangsheng He
  • Publisher : Oxford University Press, USA
  • Release : 30 October 2014
GET THIS BOOKNonlinear Optics and Photonics

This book provides a comprehensive presentation of the major topics in nonlinear optics and photonics, including the latest progress and cutting-edge achievements. Chapters 1-10 present the fundamentals of modern nonlinear optics, and could therefore be adopted as a textbook with problems provided at the end of each chapter. Chapters 11-17 cover the advanced topics of techniques and applications of nonlinear optics and photonics, and may serve as a highlyinformative reference for researchers and experts working in related areas.


Silicon Photonics Design

Silicon Photonics Design
  • Author : Lukas Chrostowski,Michael Hochberg
  • Publisher : Cambridge University Press
  • Release : 12 March 2015
GET THIS BOOKSilicon Photonics Design

This hands-on introduction to silicon photonics engineering equips students with everything they need to begin creating foundry-ready designs.


Quantum Photonics: Pioneering Advances and Emerging Applications

Quantum Photonics: Pioneering Advances and Emerging Applications
  • Author : Robert W. Boyd,Svetlana G. Lukishova,Victor N. Zadkov
  • Publisher : Springer
  • Release : 19 February 2019
GET THIS BOOKQuantum Photonics: Pioneering Advances and Emerging Applications

This book brings together reviews by internationally renowed experts on quantum optics and photonics. It describes novel experiments at the limit of single photons, and presents advances in this emerging research area. It also includes reprints and historical descriptions of some of the first pioneering experiments at a single-photon level and nonlinear optics, performed before the inception of lasers and modern light detectors, often with the human eye serving as a single-photon detector. The book comprises 19 chapters, 10 of which describe


Optical Metamaterials

Optical Metamaterials
  • Author : Wenshan Cai,Vladimir Shalaev
  • Publisher : Springer Science & Business Media
  • Release : 01 December 2009
GET THIS BOOKOptical Metamaterials

Metamaterials—artificially structured materials with engineered electromagnetic properties—have enabled unprecedented flexibility in manipulating electromagnetic waves and producing new functionalities. This book details recent advances in the study of optical metamaterials, ranging from fundamental aspects to up-to-date implementations, in one unified treatment. Important recent developments and applications such as superlens and cloaking devices are also treated in detail and made understandable. The planned monograph can serve as a very timely book for both newcomers and advanced researchers in this extremely