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Fixed Point of the Parabolic Renormalization Operator, Oscar E. Lanford III; Michael Yampolsky


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Автор: Oscar E. Lanford III; Michael Yampolsky
Название:  Fixed Point of the Parabolic Renormalization Operator
ISBN: 9783319117065
Издательство: Springer
Классификация:




ISBN-10: 3319117068
Обложка/Формат: Paperback
Страницы: 111
Вес: 0.18 кг.
Дата издания: 17.11.2014
Серия: SpringerBriefs in Mathematics
Язык: English
Размер: 234 x 156 x 6
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

This monograph grew out of the authors efforts to provide a natural geometric description for the class of maps invariant under parabolic renormalization and for the Inou-Shishikura fixed point itself as well as to carry out a computer-assisted study of the parabolic renormalization operator. It introduces a renormalization-invariant class of analytic maps with a maximal domain of analyticity and rigid covering properties and presents a numerical scheme for computing parabolic renormalization of a germ, which is used to compute the Inou-Shishikura renormalization fixed point.

Inside, readers will find a detailed introduction into the theory of parabolic bifurcation, Fatou coordinates, calle-Voronin conjugacy invariants of parabolic germs, and the definition and basic properties of parabolic renormalization.

The systematic view of parabolic renormalization developed in the book and the numerical approach to its study will be interesting to both experts in the field as well as graduate students wishing to explore one of the frontiers of modern complex dynamics.



Renormalization Group and Fixed Points

Автор: Timothy J Hollowood
Название: Renormalization Group and Fixed Points
ISBN: 3642363113 ISBN-13(EAN): 9783642363115
Издательство: Springer
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Цена: 43530.00 T
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Описание: This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. An introduction is given to some of the remarkable renormalization group properties of supersymmetric theories.

Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems

Автор: Evgeny Barkhudarov
Название: Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
ISBN: 3319061534 ISBN-13(EAN): 9783319061535
Издательство: Springer
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Цена: 121110.00 T
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Описание: The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length.The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics.

Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems

Автор: Evgeny Barkhudarov
Название: Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems
ISBN: 3319360280 ISBN-13(EAN): 9783319360287
Издательство: Springer
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Цена: 87060.00 T
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Описание: The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length.The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics.

Linear and Quasilinear Parabolic Problems

Автор: Herbert Amann
Название: Linear and Quasilinear Parabolic Problems
ISBN: 3034899505 ISBN-13(EAN): 9783034899505
Издательство: Springer
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Цена: 130430.00 T
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Описание: This distinguishes it from the theory of nonlinear contraction semigroups whose basis is a nonlinear version of the Hille- Yosida theorem: the Crandall-Liggett theorem. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle.

Parabolic Quasilinear Equations Minimizing Linear Growth Functionals

Автор: Fuensanta Andreu-Vaillo; Vicent Caselles; Jos? M.
Название: Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
ISBN: 3034896247 ISBN-13(EAN): 9783034896245
Издательство: Springer
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Цена: 46570.00 T
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Описание:

This book contains a detailed mathematical analysis of the variational approach to image restoration based on the minimization of the total variation submitted to the constraints given by the image acquisition model. This model, initially introduced by Rudin, Osher, and Fatemi, had a strong influence in the development of variational methods for image denoising and restoration, and pioneered the use of the BV model in image processing. After a full analysis of the model, the minimizing total variation flow is studied under different boundary conditions, and its main qualitative properties are exhibited. In particular, several explicit solutions of the denoising problem are computed.


General Parabolic Mixed Order Systems in Lp and Applications

Автор: Robert Denk; Mario Kaip
Название: General Parabolic Mixed Order Systems in Lp and Applications
ISBN: 331937592X ISBN-13(EAN): 9783319375922
Издательство: Springer
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Цена: 79190.00 T
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Описание: This text establishes a theory for general linear parabolic partial differential equations that covers equations with inhomogeneous symbol structure as well as mixed-order systems.

Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type

Автор: Samuil D. Eidelman; Stepan D. Ivasyshen; Anatoly N
Название: Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type
ISBN: 3764371153 ISBN-13(EAN): 9783764371159
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book is devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations.

The Parabolic Anderson Model

Автор: K?nig
Название: The Parabolic Anderson Model
ISBN: 3319335952 ISBN-13(EAN): 9783319335957
Издательство: Springer
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Цена: 71730.00 T
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Описание: This is a comprehensive survey on the research on the parabolic Andersonmodel – the heat equation with random potential or the random walk in randompotential – of the years 1990 – 2015. The investigation of this model requiresa combination of tools from probability (large deviations, extreme-valuetheory, e.g.) and analysis (spectral theory for the Laplace operator withpotential, variational analysis, e.g.). We explain the background, theapplications, the questions and the connections with other models and formulatethe most relevant results on the long-time behavior of the solution, like quenchedand annealed asymptotics for the total mass, intermittency, confinement andconcentration properties and mass flow. Furthermore, we explain the mostsuccessful proof methods and give a list of open research problems. Proofs arenot detailed, but concisely outlined and commented; the formulations of sometheorems are slightly simplified for better comprehension.


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