Quantitative Tamarkin Theory, Zhang Jun

Автор: Zhang Jun
Название: Quantitative Tamarkin Theory
ISBN: 303037890X ISBN-13(EAN): 9783030378905
Издательство: Springer
Цена: 55890.00 T
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Описание: Functioning as a viable alternative to the standard algebraic analysis method, the categorical approach explored in this book makes microlocal sheaf theory accessible to a wide audience of readers interested in symplectic geometry.

Автор: Michael Hitrik; Dmitry Tamarkin; Boris Tsygan; Ste
Название: Algebraic and Analytic Microlocal Analysis
ISBN: 3030015866 ISBN-13(EAN): 9783030015862
Издательство: Springer
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Цена: 214280.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of K?hler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.

Автор: Armstrong Scott, Kuusi Tuomo, Mourrat Jean-Christophe
Название: Quantitative Stochastic Homogenization and Large-Scale Regularity
ISBN: 3030155471 ISBN-13(EAN): 9783030155476
Издательство: Springer
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Цена: 130430.00 T
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Описание: 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.

Автор: Michael Z. Zgurovsky; Pavlo O. Kasyanov
Название: Qualitative and Quantitative Analysis of Nonlinear Systems
ISBN: 3319598392 ISBN-13(EAN): 9783319598390
Издательство: Springer
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Цена: 130430.00 T
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Описание:

Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems:

(a) constructive existence results and regularity theorems for all weak solutions;

(b) convergence results for solutions and their approximations;

(c) uniform global behavior of solutions in time; and

(d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.

Автор: Zgurovsky, Michael Z., Kasyanov, Pavlo O.
Название: Qualitative and Quantitative Analysis of Nonlinear Systems
ISBN: 3319867156 ISBN-13(EAN): 9783319867151
Издательство: Springer
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Цена: 93160.00 T
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Описание: Introduction: Special Classes of Extended Phase Spaces of Distributions.- Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results.- Regularity of Solutions for Nonlinear Systems.- Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems.- Uniform Trajectory Attractors for Non-autonomous Nonlinear Systems.- Indirect Lyapunov Method for Autonomous Dynamical Systems

Автор: T?nu Puu
Название: Disequilibrium Economics
ISBN: 3319744143 ISBN-13(EAN): 9783319744148
Издательство: Springer
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Цена: 79190.00 T
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Описание: This book discusses mathematical models for various applications in economics, with a focus on non-linear dynamics. Based on the author’s over 50 years of active work in the field, the book has been inspired by models from the period between 1920 and 1950. Following a brief introduction to economics for mathematicians and other modelers, it assembles a repository of useful specific functions for global dynamic modeling. Furthermore, twelve “research stubs” – outlined research agendas that have not yet been fully worked on – are suggested for further study and could even be expanded to entire research projects. The book is a valuable resource, particularly for young scientists who are skilled in mathematical and computational techniques and are looking for applications in economics.

Автор: Scott Armstrong; Tuomo Kuusi; Jean-Christophe Mour
Название: Quantitative Stochastic Homogenization and Large-Scale Regularity
ISBN: 3030155447 ISBN-13(EAN): 9783030155445
Издательство: Springer
Рейтинг:
Цена: 130430.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.