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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Quantitative Stochastic Homogenization and Large-Scale Regularity (Hardcover, 1st ed. 2019)
Loot Price: R3,931
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Quantitative Stochastic Homogenization and Large-Scale Regularity (Hardcover, 1st ed. 2019)
Series: Grundlehren der mathematischen Wissenschaften, 352
Expected to ship within 12 - 19 working days
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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.
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