000			02191 a2200277 4500
003			OSt
005			20250217161803.0
008			250213b xxu||||| |||| 00| 0 eng d
020			_a9783030155445
040			_cIIT Kanpur
041			_aeng
082			_a519.2 _bAr58q
100			_aArmstrong, Scott
245			_aQuantitative stochastic homogenization and large-scale regularity _cScott Armstrong, Tuomo Kuusi and Jean-Christophe Mourrat
260			_bSpringer _c2019 _aSwitzerland
300			_axxxviii, 518p
440			_aGrundlehren der mathematischen Wissenschaften : a series of comprehensive studies in mathematics
490			_a \ Pierre de la Harpe... [et al.] _v; v. 352
520			_aThe 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.
650			_aHomogenization (Differential equations)
650			_aMATHEMATICS Calculus
650			_aMATHEMATICS Mathematical analysis
700			_aKuusi, Tuomo
700			_aMourrat, Jean-Christophe
942			_cBK
999			_c567161 _d567161