This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov ...
Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used, for example, in performance modelling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of ...
This monograph aims at promoting original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes are of interest in several areas of mathematical research and are encountered in pure probabilistic problems, as well as in applications involving queuing theory. Using Riemann ...
"Super-radiance: Multiatomic Coherent Emission" provides a comprehensive, self-contained account of the theory and experiments of the quantum optic phenomenon of superradiance. Contributed by highly regarded researchers in the field, the book first presents the theory of superradiance at a level suitable for graduate physicists approaching the ...
This is a source book for the history of mathematics, but one which offers a different perspective by focusing on algorithms. With the development of computing has come an awakening of interest in algorithms. Often neglected by historians and modern scientists, more concerned with the nature of concepts, algorithmic procedures turn out to have ...
Offers a treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. This book includes topics such as Chebychev theory, Weierstrass theorems, smoothness of functions, and continuation of functions.
This book generalizes the classic theory of the regression experiment design in the case of Kalman-type filtering in controllable dynamic systems. A new approach is proposed for optimization of the measurable parameters structure, of navigation mean modes, of the observability conditions, of inputs for system identification, etc. The developed ...
New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, ...
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