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
Resource Information
The item Levy processes, integral equations, statistical physics : connections and interactions, Lev A. Sakhnovich represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Levy processes, integral equations, statistical physics : connections and interactions, Lev A. Sakhnovich represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 (Gibbstype formulas, nonextensive 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 KadisonSinger and GohbergKrein 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
 Language
 eng
 Extent
 1 online resource (ix, 245 pages).
 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
 Isbn
 9783034803564
 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
 Subject

 Integral equations
 Lévy processes
 Lévy processes
 Lévy processes
 MATHEMATICS  Applied
 MATHEMATICS  Probability & Statistics  General
 Mathematical analysis
 Mathematical analysis
 Mathematical analysis
 Mathematics
 Physics
 Probabilities
 Probabilities
 Probabilities
 Statistical physics
 Statistical physics
 Statistical physics
 Statistics as Topic
 Integral equations
 Integral equations
 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 (Gibbstype formulas, nonextensive 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 KadisonSinger and GohbergKrein 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
 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
 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
 10.1007/9783034803564
 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
 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
 10.1007/9783034803564
 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
Subject
 Integral equations
 Lévy processes
 Lévy processes
 Lévy processes
 MATHEMATICS  Applied
 MATHEMATICS  Probability & Statistics  General
 Mathematical analysis
 Mathematical analysis
 Mathematical analysis
 Mathematics
 Physics
 Probabilities
 Probabilities
 Probabilities
 Statistical physics
 Statistical physics
 Statistical physics
 Statistics as Topic
 Integral equations
 Integral equations
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Levyprocessesintegralequationsstatistical/_sV9WfNvOs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Levyprocessesintegralequationsstatistical/_sV9WfNvOs/">Levy processes, integral equations, statistical physics : connections and interactions, Lev A. Sakhnovich</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>