Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation PDF Author: Ovidiu Costin
Publisher: Springer Science & Business Media
ISBN: 8876423796
Category : Mathematics
Languages : en
Pages : 273

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Book Description
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with - mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, - local dynamics: parabolic systems, small denominator questions, - new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, - a new family of resurgent functions related to knot theory.

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation PDF Author: Ovidiu Costin
Publisher: Springer Science & Business Media
ISBN: 8876423796
Category : Mathematics
Languages : en
Pages : 273

Get Book Here

Book Description
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with - mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, - local dynamics: parabolic systems, small denominator questions, - new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, - a new family of resurgent functions related to knot theory.

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation PDF Author: Ovidiu Costin
Publisher: Springer Science & Business Media
ISBN: 887642377X
Category : Mathematics
Languages : en
Pages : 289

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Book Description
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory.

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation PDF Author: Ovidiu Costin
Publisher: Edizioni della Normale
ISBN: 9788876423765
Category : Mathematics
Languages : en
Pages : 274

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Book Description
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory.

Asymptotics in dynamics, geometry and PDEs

Asymptotics in dynamics, geometry and PDEs PDF Author: Ovidiu Costin
Publisher:
ISBN:
Category :
Languages : it
Pages :

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Book Description


Translations of Mathematical Monographs

Translations of Mathematical Monographs PDF Author:
Publisher:
ISBN: 9780821821091
Category : Differential equations, Nonlinear
Languages : en
Pages : 285

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Book Description


Asymptotic Geometric Analysis

Asymptotic Geometric Analysis PDF Author: Monika Ludwig
Publisher: Springer Science & Business Media
ISBN: 1461464064
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in the Fall of 2010 continued an established tradition of previous large-scale programs devoted to the same general research direction. The main directions of the program included: * Asymptotic theory of convexity and normed spaces * Concentration of measure and isoperimetric inequalities, optimal transportation approach * Applications of the concept of concentration * Connections with transformation groups and Ramsey theory * Geometrization of probability * Random matrices * Connection with asymptotic combinatorics and complexity theory These directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working in a wide range of mathematical sciences—in particular functional analysis, combinatorics, convex geometry, dynamical systems, operator algebras, and computer science.

Asymptotics of Elliptic and Parabolic PDEs

Asymptotics of Elliptic and Parabolic PDEs PDF Author: David Holcman
Publisher: Springer
ISBN: 3319768956
Category : Mathematics
Languages : en
Pages : 456

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Book Description
This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.

Asymptotic Analysis and the Numerical Solution of Partial Differential Equations

Asymptotic Analysis and the Numerical Solution of Partial Differential Equations PDF Author: Hans G. Kaper
Publisher: CRC Press
ISBN: 1482277069
Category : Mathematics
Languages : en
Pages : 283

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Book Description
Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per

Nonlinear Analysis, Geometry and Applications

Nonlinear Analysis, Geometry and Applications PDF Author: Diaraf Seck
Publisher: Springer Nature
ISBN: 3030573362
Category : Mathematics
Languages : en
Pages : 462

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Book Description
This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24–28, 2019. The four-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometrical analysis of optimal shapes, geometric structures, optimization and optimal transportation, control theory, and mathematical modeling.

Asymptotic Formulae in Spectral Geometry

Asymptotic Formulae in Spectral Geometry PDF Author: Peter B. Gilkey
Publisher: CRC Press
ISBN: 1135440743
Category : Mathematics
Languages : en
Pages : 315

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Book Description
A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation. It incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. Geometers, mathematical physicists, and analysts alike will undoubtedly find this book to be the definitive book on the subject