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The Resource Quantitative Stochastic Homogenization and LargeScale Regularity, by Scott Armstrong, Tuomo Kuusi, JeanChristophe Mourrat, (electronic resource)
Quantitative Stochastic Homogenization and LargeScale Regularity, by Scott Armstrong, Tuomo Kuusi, JeanChristophe Mourrat, (electronic resource)
Resource Information
The item Quantitative Stochastic Homogenization and LargeScale Regularity, by Scott Armstrong, Tuomo Kuusi, JeanChristophe Mourrat, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Quantitative Stochastic Homogenization and LargeScale Regularity, by Scott Armstrong, Tuomo Kuusi, JeanChristophe Mourrat, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 The focus of this book is the largescale statistical behavior of solutions of divergenceform elliptic equations with random coefficients, which is closely related to the longtime asymptotics of reversible diffusions in random media and other basic models of statistical physics. Of particular interest is the quantification of the rate at which solutions converge to those of the limiting, homogenized equation in the regime of large scale separation, and the description of their fluctuations around this limit. This selfcontained presentation gives a complete account of the essential ideas and fundamental results of this new theory of quantitative stochastic homogenization, including the latest research on the topic, and is supplemented with many new results. The book serves as an introduction to the subject for advanced graduate students and researchers working in partial differential equations, statistical physics, probability and related fields, as well as a comprehensive reference for experts in homogenization. Being the first text concerned primarily with stochastic (as opposed to periodic) homogenization and which focuses on quantitative results, its perspective and approach are entirely different from other books in the literature.
 Language
 eng
 Edition
 1st ed. 2019.
 Extent
 XXXVIII, 518 p. 430 illus., 4 illus. in color.
 Contents

 Preface
 Assumptions and examples
 Frequently asked questions
 Notation
 Introduction and qualitative theory
 Convergence of the subadditive quantities
 Regularity on large scales
 Quantitative description of firstorder correctors
 Scaling limits of firstorder correctors
 Quantitative twoscale expansions
 CalderonZygmund gradient L^p estimates
 Estimates for parabolic problems
 Decay of the parabolic semigroup
 Linear equations with nonsymmetric coefficients
 Nonlinear equations
 Appendices: A.The O_s notation
 B.Function spaces and elliptic equations on Lipschitz domains
 C.The Meyers L^{2+\delta} estimate
 D. Sobolev norms and heat flow
 Parabolic Green functions
 Bibliography
 Index
 Isbn
 9783030155452
 Label
 Quantitative Stochastic Homogenization and LargeScale Regularity
 Title
 Quantitative Stochastic Homogenization and LargeScale Regularity
 Statement of responsibility
 by Scott Armstrong, Tuomo Kuusi, JeanChristophe Mourrat
 Language
 eng
 Summary
 The focus of this book is the largescale statistical behavior of solutions of divergenceform elliptic equations with random coefficients, which is closely related to the longtime asymptotics of reversible diffusions in random media and other basic models of statistical physics. Of particular interest is the quantification of the rate at which solutions converge to those of the limiting, homogenized equation in the regime of large scale separation, and the description of their fluctuations around this limit. This selfcontained presentation gives a complete account of the essential ideas and fundamental results of this new theory of quantitative stochastic homogenization, including the latest research on the topic, and is supplemented with many new results. The book serves as an introduction to the subject for advanced graduate students and researchers working in partial differential equations, statistical physics, probability and related fields, as well as a comprehensive reference for experts in homogenization. Being the first text concerned primarily with stochastic (as opposed to periodic) homogenization and which focuses on quantitative results, its perspective and approach are entirely different from other books in the literature.
 http://library.link/vocab/creatorName
 Armstrong, Scott
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 Q7Q74SGXPO0
 keJE7yjSh7M
 bOVIAynwz18
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Kuusi, Tuomo.
 Mourrat, JeanChristophe.
 Series statement
 Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
 Series volume
 352
 http://library.link/vocab/subjectName

 Differential equations, Partial
 Probabilities
 Mathematical physics
 Calculus of variations
 Partial Differential Equations
 Probability Theory and Stochastic Processes
 Mathematical Physics
 Calculus of Variations and Optimal Control; Optimization
 Label
 Quantitative Stochastic Homogenization and LargeScale Regularity, by Scott Armstrong, Tuomo Kuusi, JeanChristophe Mourrat, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Assumptions and examples  Frequently asked questions  Notation  Introduction and qualitative theory  Convergence of the subadditive quantities  Regularity on large scales  Quantitative description of firstorder correctors  Scaling limits of firstorder correctors  Quantitative twoscale expansions  CalderonZygmund gradient L^p estimates  Estimates for parabolic problems  Decay of the parabolic semigroup  Linear equations with nonsymmetric coefficients  Nonlinear equations  Appendices: A.The O_s notation  B.Function spaces and elliptic equations on Lipschitz domains  C.The Meyers L^{2+\delta} estimate  D. Sobolev norms and heat flow  Parabolic Green functions  Bibliography  Index
 Dimensions
 unknown
 Edition
 1st ed. 2019.
 Extent
 XXXVIII, 518 p. 430 illus., 4 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783030155452
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783030155452
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783030155452
 Label
 Quantitative Stochastic Homogenization and LargeScale Regularity, by Scott Armstrong, Tuomo Kuusi, JeanChristophe Mourrat, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Assumptions and examples  Frequently asked questions  Notation  Introduction and qualitative theory  Convergence of the subadditive quantities  Regularity on large scales  Quantitative description of firstorder correctors  Scaling limits of firstorder correctors  Quantitative twoscale expansions  CalderonZygmund gradient L^p estimates  Estimates for parabolic problems  Decay of the parabolic semigroup  Linear equations with nonsymmetric coefficients  Nonlinear equations  Appendices: A.The O_s notation  B.Function spaces and elliptic equations on Lipschitz domains  C.The Meyers L^{2+\delta} estimate  D. Sobolev norms and heat flow  Parabolic Green functions  Bibliography  Index
 Dimensions
 unknown
 Edition
 1st ed. 2019.
 Extent
 XXXVIII, 518 p. 430 illus., 4 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783030155452
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783030155452
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783030155452
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/QuantitativeStochasticHomogenizationand/iv_gH_Ge0XE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/QuantitativeStochasticHomogenizationand/iv_gH_Ge0XE/">Quantitative Stochastic Homogenization and LargeScale Regularity, by Scott Armstrong, Tuomo Kuusi, JeanChristophe Mourrat, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>