Coverart for item
The Resource Levy processes, integral equations, statistical physics : connections and interactions, Lev A. Sakhnovich

Levy processes, integral equations, statistical physics : connections and interactions, Lev A. Sakhnovich

Label
Levy processes, integral equations, statistical physics : connections and interactions
Title
Levy processes, integral equations, statistical physics
Title remainder
connections and interactions
Statement of responsibility
Lev A. Sakhnovich
Creator
Author
Subject
Language
eng
Summary
"In a number of famous works, M. Kac showed that various methods of probability theory can be fruitfully applied to important problems of analysis. The interconnection between probability and analysis also plays a central role in the present book. However, our approach is mainly based on the application of analysis methods (the method of operator identities, integral equations theory, dual systems, integrable equations) to probability theory (Levy processes, M. Kac's problems, the principle of imperceptibility of the boundary, signal theory). The essential part of the book is dedicated to problems of statistical physics (classical and quantum cases). We consider the corresponding statistical problems (Gibbs-type formulas, non-extensive statistical mechanics, Boltzmann equation) from the game point of view (the game between energy and entropy). One chapter is dedicated to the construction of special examples instead of existence theorems (D. Larson's theorem, Ringrose's hypothesis, the Kadison-Singer and Gohberg-Krein questions). We also investigate the Bezoutiant operator. In this context, we do not make the assumption that the Bezoutiant operator is normally solvable, allowing us to investigate the special classes of the entire functions."--Publisher's website
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Sakhnovich, L. A
Dewey number
519.282
Index
index present
Language note
English
LC call number
QA274.73
LC item number
.S25 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Operator theory : advances and applications
Series volume
225
http://library.link/vocab/subjectName
  • Lévy processes
  • Integral equations
  • Statistical physics
  • Probabilities
  • Mathematical analysis
  • Mathematics
  • Physics
  • Statistics as Topic
  • MATHEMATICS
  • MATHEMATICS
  • Integral equations
  • Lévy processes
  • Mathematical analysis
  • Probabilities
  • Statistical physics
Label
Levy processes, integral equations, statistical physics : connections and interactions, Lev A. Sakhnovich
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • The game between energy and entropy
  • Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases
  • Operator Bezoutiant and roots of entire functions, concrete examples
  • Levy processes
  • The principle of imperceptibility of the boundary in the theory of stable processes
  • Approximation of positive functions by linear positive polynomial operators
  • Optimal prediction and matched filtering for generalized stationary processes
  • Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization
  • Comparison of thermodynamic characteristics of quantum and classical approaches
  • Dual canonical systems and dual matrix string equations
  • Integrable operators and canonical differential systems
Control code
801653445
Dimensions
unknown
Extent
1 online resource (ix, 245 pages).
File format
unknown
Form of item
online
Isbn
9783034803564
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 9786613937391
  • 10.1007/978-3-0348-0356-4
http://library.link/vocab/ext/overdrive/overdriveId
393739
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)801653445
Label
Levy processes, integral equations, statistical physics : connections and interactions, Lev A. Sakhnovich
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • The game between energy and entropy
  • Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases
  • Operator Bezoutiant and roots of entire functions, concrete examples
  • Levy processes
  • The principle of imperceptibility of the boundary in the theory of stable processes
  • Approximation of positive functions by linear positive polynomial operators
  • Optimal prediction and matched filtering for generalized stationary processes
  • Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization
  • Comparison of thermodynamic characteristics of quantum and classical approaches
  • Dual canonical systems and dual matrix string equations
  • Integrable operators and canonical differential systems
Control code
801653445
Dimensions
unknown
Extent
1 online resource (ix, 245 pages).
File format
unknown
Form of item
online
Isbn
9783034803564
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 9786613937391
  • 10.1007/978-3-0348-0356-4
http://library.link/vocab/ext/overdrive/overdriveId
393739
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)801653445

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