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Asymptotic Combinatorics With Applications To Mathematical Physics


Asymptotic Combinatorics With Applications To Mathematical Physics
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Asymptotic Combinatorics With Applications To Mathematical Physics


Asymptotic Combinatorics With Applications To Mathematical Physics
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Author : European Mathematical Summer School (2001 : St. Petersburg)
language : en
Publisher: Springer Science & Business Media
Release Date : 2003

Asymptotic Combinatorics With Applications To Mathematical Physics written by European Mathematical Summer School (2001 : St. Petersburg) 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 2003 with Asymptotic expansions categories.


At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.



Asymptotic Combinatorics With Application To Mathematical Physics


Asymptotic Combinatorics With Application To Mathematical Physics
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Author : V.A. Malyshev
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-08-31

Asymptotic Combinatorics With Application To Mathematical Physics written by V.A. Malyshev 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 2002-08-31 with Science categories.


New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.



Asymptotic Combinatorics With Applications To Mathematical Physics


Asymptotic Combinatorics With Applications To Mathematical Physics
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Author : Anatoly M. Vershik
language : en
Publisher: Springer
Release Date : 2003-06-20

Asymptotic Combinatorics With Applications To Mathematical Physics written by Anatoly M. Vershik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-20 with Mathematics categories.


At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.



Asymptotic Combinatorics With Applications To Mathematical Physics


Asymptotic Combinatorics With Applications To Mathematical Physics
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Author : Anatoly M. Vershik
language : en
Publisher:
Release Date : 2014-01-15

Asymptotic Combinatorics With Applications To Mathematical Physics written by Anatoly M. Vershik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Asymptotic Combinatorics With Applications To Mathematical Physics


Asymptotic Combinatorics With Applications To Mathematical Physics
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Author : Anatoly M. Vershik
language : en
Publisher: Springer
Release Date : 2003-07-03

Asymptotic Combinatorics With Applications To Mathematical Physics written by Anatoly M. Vershik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-03 with Mathematics categories.


At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.



Asymptotic Combinatorics With Application To Mathematical Physics


Asymptotic Combinatorics With Application To Mathematical Physics
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Author : V.A. Malyshev
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotic Combinatorics With Application To Mathematical Physics written by V.A. Malyshev 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 2012-12-06 with Science categories.


New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.



Idempotent Mathematics And Mathematical Physics


Idempotent Mathematics And Mathematical Physics
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Author : Grigoriĭ Lazarevich Litvinov
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Idempotent Mathematics And Mathematical Physics written by Grigoriĭ Lazarevich Litvinov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


Idempotent mathematics is a rapidly developing new branch of the mathematical sciences that is closely related to mathematical physics. The existing literature on the subject is vast and includes numerous books and journal papers. A workshop was organized at the Erwin Schrodinger Institute for Mathematical Physics (Vienna) to give a snapshot of modern idempotent mathematics. This volume contains articles stemming from that event. Also included is an introductory paper by G. Litvinov and additional invited contributions. The resulting volume presents a comprehensive overview of the state of the art. It is suitable for graduate students and researchers interested in idempotent mathematics and tropical mathematics.



Combinatorics And Finite Fields


Combinatorics And Finite Fields
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Author : Kai-Uwe Schmidt
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-07-08

Combinatorics And Finite Fields written by Kai-Uwe Schmidt and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-08 with Mathematics categories.


Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.



Hamilton Jacobi Equations Approximations Numerical Analysis And Applications


Hamilton Jacobi Equations Approximations Numerical Analysis And Applications
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Author : Yves Achdou
language : en
Publisher: Springer
Release Date : 2013-05-24

Hamilton Jacobi Equations Approximations Numerical Analysis And Applications written by Yves Achdou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-24 with Mathematics categories.


These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity solutions, asymptotic behaviors, mean field games, approximation and numerical methods, idempotent analysis. The content of the courses ranged from an introduction to viscosity solutions to quite advanced topics, at the cutting edge of research in the field. We believe that they opened perspectives on new and delicate issues. These lecture notes contain four contributions by Yves Achdou (Finite Difference Methods for Mean Field Games), Guy Barles (An Introduction to the Theory of Viscosity Solutions for First-order Hamilton-Jacobi Equations and Applications), Hitoshi Ishii (A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations) and Grigory Litvinov (Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations).



The Valuative Tree


The Valuative Tree
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Author : Charles Favre
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-09-16

The Valuative Tree written by Charles Favre 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 2004-09-16 with Computers categories.


This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions. Its intricate yet manageable structure can be analyzed by both algebraic and geometric means. Many types of singularities, including those of curves, ideals, and plurisubharmonic functions, can be encoded in terms of positive measures on the valuative tree. The construction of these measures uses a natural tree Laplace operator of independent interest.