This text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics.
Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.
In writing this monograph my objective is to present arecent, 'geometrie' approach to the structural synthesis of multivariable control systems that are linear, time-invariant, and of finite dynamic order.
Background and Scope of the Book This book continues, extends, and unites various developments in the intersection of probability theory and dynamical systems.
Minimal Surfaces I is an introduction to the field of minimal surfaces and a presentation of the classical theory as well as of parts of the modern development centered around boundary value problems.
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics.
Simple random walks - or equivalently, sums of independent random vari- ables - have long been a standard topic of probability theory and mathemat- ical physics.
This volume contains the proceedings of the summer school "e;Modern Methods of Optimization"e;, held at the Schlof3 Thurnau of the University of Bayreuth, October 1-6, 1990.
From the reviews to the first edition:Most of the literature about stochastic differentialequations seems to place so much emphasis on rigor andcompleteness that it scares the nonexperts away.
Minimal surfaces I is an introduction to the field ofminimal surfaces and apresentation of the classical theoryas well as of parts of the modern development centeredaround boundary value problems.
The purpose of this book is to present a self-contained description of the fundamentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach.
In engineering and economics a certain vector of inputs or decisions must often be chosen, subject to some constraints, such that the expected costs arising from the deviation between the output of a stochastic linear system and a desired stochastic target vector are minimal.
This text is an attempt to outline the basic facts concerning Kekul structures in benzenoid hydrocarbons: their history, applica- tions and especially enumeration.
This book emphasizes the critical need for a multi-dimensional approach to tackling energy poverty, advocating for an integrated strategy that addresses three interconnected dimensions: availability, accessibility, and affordability.
In the past 10 to 15 years, the quantum leap inunderstanding of nonlinear dynamics has radically changedthe frame of reference of physicists contemplating suchsystems.
Diverse areas of physics and its applications deal with wave scattering at rough surfaces: optics, acoustics, remote sensing, radio astronomy, physics of solids, diffraction theory, radio and wave-propagation techniques, etc.
The chapter on statistical-physics simulations has been enlarged, mainly by a dis- cussion of multispin coding techniques for the Ising model (bit-by-bit parallel oper- ations).
Modern computing tools like Maple (symbolic computation) and Matlab (a numeric computation and visualization program) make it possible to easily solve realistic nontrivial problems in scientific computing.
Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, together with many worked examples throughout the text.
"e;Signal Processing and Systems Theory"e; is concerned with thestudy of H-optimization for digital signal processing anddiscrete-time control systems.
UNIX achieved its widespread propagation, its penetration of the UNIX history university domain, and its reach into research and industry due to its early dissemination by AT&T to all interested parties at almost no cost and as source code.
The experimental discovery of the fractional quantum Hall effect (FQHE) at the end of 1981 by Tsui, Stormer and Gossard was absolutely unexpected since, at this time, no theoretical work existed that could predict new struc- tures in the magnetotransport coefficients under conditions representing the extreme quantum limit.
