Classical Microlocal Analysis In The Space Of Hyperfunctions
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Classical Microlocal Analysis In The Space Of Hyperfunctions
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Author : Seiichiro Wakabayashi
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-06-23
Classical Microlocal Analysis In The Space Of Hyperfunctions written by Seiichiro Wakabayashi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-23 with Mathematics categories.
The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category.
Asymptotics For Dissipative Nonlinear Equations
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Author : Nakao Hayashi
language : en
Publisher: Springer
Release Date : 2006-08-23
Asymptotics For Dissipative Nonlinear Equations written by Nakao Hayashi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-23 with Mathematics categories.
This is the first book in world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
Orthogonal Polynomials And Special Functions
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Author : Francisco Marcellàn
language : en
Publisher: Springer
Release Date : 2006-10-18
Orthogonal Polynomials And Special Functions written by Francisco Marcellàn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-18 with Mathematics categories.
Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? The present set of lecture notes contains seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions.
Splitting Deformations Of Degenerations Of Complex Curves
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Author : Shigeru Takamura
language : en
Publisher: Springer
Release Date : 2006-10-11
Splitting Deformations Of Degenerations Of Complex Curves written by Shigeru Takamura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-11 with Mathematics categories.
Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are related to deformations of surface singularities, in particular, cyclic quotient singularities, as well as the mapping class groups of Riemann surfaces via monodromies.
The Lace Expansion And Its Applications
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Author : Gordon Slade
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-17
The Lace Expansion And Its Applications written by Gordon Slade and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-17 with Mathematics categories.
The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models.
The Wulff Crystal In Ising And Percolation Models
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Author : Raphaël Cerf
language : en
Publisher: Springer
Release Date : 2006-08-29
The Wulff Crystal In Ising And Percolation Models written by Raphaël Cerf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-29 with Mathematics categories.
This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.
Combinatorial Stochastic Processes
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Author : Jim Pitman
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-11
Combinatorial Stochastic Processes written by Jim Pitman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-11 with Mathematics categories.
The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.
Stochastic Calculus For Fractional Brownian Motion And Related Processes
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Author : Yuliya Mishura
language : en
Publisher: Springer
Release Date : 2008-04-12
Stochastic Calculus For Fractional Brownian Motion And Related Processes written by Yuliya Mishura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-12 with Mathematics categories.
This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.
Zeta Functions Of Groups And Rings
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Author : Marcus du Sautoy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
Zeta Functions Of Groups And Rings written by Marcus du Sautoy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.
Calculus Of Variations And Nonlinear Partial Differential Equations
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Author : Luigi Ambrosio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-02
Calculus Of Variations And Nonlinear Partial Differential Equations written by Luigi Ambrosio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-02 with Mathematics categories.
With a historical overview by Elvira Mascolo