Spectral Theory of Random Schr?dinger Operators, Reinhard Lang
Автор: Antti Kemppainen Название: Schramm–Loewner Evolution ISBN: 331965327X ISBN-13(EAN): 9783319653273 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis.
Автор: Jacek Banasiak; Adam Bobrowski; Miros?aw Lachowicz Название: Semigroups of Operators -Theory and Applications ISBN: 3319383736 ISBN-13(EAN): 9783319383736 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community.
Автор: Bai Zhidong Название: Spectral Theory of Large Dimensional Random Matrices and its ISBN: 981457905X ISBN-13(EAN): 9789814579056 Издательство: World Scientific Publishing Цена: 12830.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book contains three parts: Spectral theory of large dimensional random matrices; Applications to wireless communications; and Applications to finance. In the first part, we introduce some basic theorems of spectral analysis of large dimensional random matrices that are obtained under finite moment conditions, such as the limiting spectral distributions of Wigner matrix and that of large dimensional sample covariance matrix, limits of extreme eigenvalues, and the central limit theorems for linear spectral statistics. In the second part, we introduce some basic examples of applications of random matrix theory to wireless communications and in the third part, we present some examples of Applications to statistical finance.
Автор: Masao Nagasawa Название: Schr?dinger Equations and Diffusion Theory ISBN: 3034805594 ISBN-13(EAN): 9783034805599 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Self-contained and structurally coherent, this introduction to the theory and applications of diffusion processes deploys them to analyze Schrodinger`s equations, using relative entropy and the theory of transformations to forge apparently identical processes.
Автор: M. Nagasawa Название: Schr?dinger Equations and Diffusion Theory ISBN: 3034896840 ISBN-13(EAN): 9783034896849 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Schrodinger Equations and Diffusion Theory addresses the question "What is the Schrodinger equation?" in terms of diffusion processes, and shows that the Schrodinger equation and diffusion equations in duality are equivalent. In turn, Schrodinger's conjecture of 1931 is solved. The theory of diffusion processes for the Schrodinger equation tell us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles. The method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schrodinger equations. The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrodinger equation, namely, quantum mechanics. The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.
Автор: Robert Aebi Название: Schr?dinger Diffusion Processes ISBN: 3034898746 ISBN-13(EAN): 9783034898744 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In order to answer Schrodinger`s question, the book takes three distinct approaches, dealt with in separate chapters: transformation by means of a multiplicative functional, projection by means of relative entropy, and variation of a functional associated to pairs of non-linear integral equations.
Автор: Michael Demuth; Jan A. van Casteren Название: Stochastic Spectral Theory for Selfadjoint Feller Operators ISBN: 3034895771 ISBN-13(EAN): 9783034895774 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. For such operators regular and singular perturbations of order zero and their spectral properties are investigated. A complete treatment of the Feynman-Kac formula is given. The theory is applied to such topics as compactness or trace class properties of differences of Feynman-Kac semigroups, preservation of absolutely continuous and/or essential spectra and completeness of scattering systems. The unified approach provides a new viewpoint of and a deeper insight into the subject. The book is aimed at advanced students and researchers in mathematical physics and mathematics with an interest in quantum physics, scattering theory, heat equation, operator theory, probability theory and spectral theory.
Описание: The SLE and Dyson`s BM model may be considered as "children" of the Bessel process with parameter D, BES(D), and the SLE and Dyson`s BM model as "grandchildren" of BM.
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