Quantitative stochastic homogenization and large-scale regularity
By: Armstrong, Scott.
Contributor(s): Kuusi, Tuomo | Mourrat, Jean-Christophe.
Series: Grundlehren der mathematischen Wissenschaften : a series of comprehensive studies in mathematics. \ Pierre de la Harpe... [et al.] ; v. 352.Publisher: Switzerland Springer 2019Description: xxxviii, 518p.ISBN: 9783030155445.Subject(s): Homogenization (Differential equations) | MATHEMATICS Calculus | MATHEMATICS Mathematical analysisDDC classification: 519.2 | Ar58q Summary: The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time 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 self-contained 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.| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
Books
|
PK Kelkar Library, IIT Kanpur | On Display | 519.2 Ar58q (Browse shelf) | Available | A186699 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: On Display Close shelf browser
| 515.353 M42 Mathematical theory of evolutionary fluid-flow structure interactions | 515.353 Sh45p Periodic homogenization of elliptic systems | 515.64 B731g Gamma-convergence for Beginners | 519.2 Ar58q Quantitative stochastic homogenization and large-scale regularity | 523.02 Sh26a2 Astrochemistry [2nd ed.] | 547.59 J824h5 Heterocyclic chemistry [5th ed.] | 617.48 H191 Handbook of robotic surgery |
The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time 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 self-contained 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.
There are no comments for this item.