#### Author:

Vladimir S. Korolyuk,A.F. Turbin

#### Language:

#### Category:

#### Subcategory:

#### ePub size:

1185 kb

#### Other formats:

mbr lrf lit mobi

#### Rating:

4.9

#### Publisher:

Springer; 1993 edition (August 31, 1993)

#### Pages:

278

#### ISBN:

0792324137

# Mathematical Foundations of the State Lumping of Large Systems (Mathematics and Its Applications) e-book

#### by Vladimir S. Korolyuk,A.F. Turbin

Mathematics and Its Applications. Authors: Korolyuk, Vladimir . Turbin, .

Mathematics and Its Applications. Mathematical Foundations of the State Lumping of Large Systems. During the investigation of large systems described by evolution equations, we encounter many problems. Of special interest is the problem of "high dimensionality" or, more precisely, the problem of the complexity of the phase space.

Series: Mathematics and Its Applications, Vol. 264. The notion of the "comple-xity of the. phase space" includes not only the high dimensionality of, say, a system of linear equations which appear in the mathematical model of the system (in the case when the phase space of the model is finite but very large), as this is usually understood, but.

Systems Vladimir S. Korolyuk; . A measure-theoretic definition of entropy production rate and its formulae in various cases are given

Mathematical Foundations of the State Lumping of Large Systems Vladimir S. Turbin Springer 9780792324133 : During the investigation of large systems described by evolution equat. A measure-theoretic definition of entropy production rate and its formulae in various cases are given. It vanishes if and only if the stationary system is reversible and in equilibrium. Moreover, in the cases of Markov chains and diffusion processes on manifolds, it can be expressed in terms of circulations on directed cycles.

Vladimir S. Koroliuk, Anatoly F. Turbin. Korolyuk and Vladimir V. Korolyuk, Stochastic models of systems, Mathematics . V. S. Korolyuk and A. F. Turbin, Mathematical foundation of state lumping of large systems, Kluwer Academic Publisher, Dordrecht, 1990. Korolyuk, Stochastic models of systems, Mathematics and its Applications, vol. 469, Kluwer Academic Publishers, Dordrecht, 1999. Vladimir S. Koroliuk and Nikolaos Limnios, Stochastic systems in merging phase space, World Scientific Publishing Co. Pte. Lt. Hackensack, NJ, 2005. Koroliuk and I. Samoilenko, Asymptotic expansion for a functional of semi-Markov random evolution in diffusion approximation scheme, Teor.

During the investigation of large systems described by evolution equations, we encounter many problems.

This book is a translation of the original Zadlmia z olimpiad matematycznych, Vo. Introduction to Methods of Applied Mathematics or Advanced Mathematical Methods for Scientists.

This book is a translation of the original Zadlmia z olimpiad matematycznych, Vol. I, published. Introduction to Insurance Mathematics: Technical and Financial Features of Risk Transfers. Edexcel AS and A level Mathematics Pure Mathematics Year 1/AS Textbook + e-book. 33 MB·20,456 Downloads·New! are the market-leading and most trusted resources for AS and A level Mathematics.

by Vladimir S. Korolyuk (Author), Vladimir V. Korolyuk (Author). Series: Mathematics and Its Applications (Book 469). ISBN-13: 978-9401059541.

Vladimir M. Tikhomirov

Vladimir M. Tikhomirov. This volume is the second of three volumes devoted to the work of one of the most prominent twentieth-century mathematicians. His lasting contributions embrace probability theory and statistics, the theory of dynamical systems, mathematical logic, geometry and topology, the theory of functions and functional analysis, classical mechanics, the theory of turbulence, and information theory. This second volume contains papers on probability theory and mathematical statistics, and embraces topics such as limit theorems, axiomatics and logical foundations of probability theory, Markov chains and processes, stationary processes and branching processes.

Evolutionary systems in an asymptotic split state space (eds) Recent . The application of limit theorems in reliability and reward problems is discussed.

Evolutionary systems in an asymptotic split state space (eds) Recent Advances in Reliability Theory: Methodology, Practice and Inference. Limnios . Evolutionary systems in an asymptotic split state space. In: Limnios N. & Nikulin M. (eds) Recent Advances in Reliability Theory: Methodology, Practice and Inference. 145–161, Birkhauser, Boston (2000). and upd. by V. Zayats and Y. A. Atanov.