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.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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theta hypergeometric series, functional invariance principle, elliptic hypergeometric series, idempotent version, elliptic beta integrals, uniform random mappings, alternating tangles, idempotent space, external randomization, asymptotic combinatorics, string partition function, weighted mappings, double scaling limit, tangle diagrams, fermionic model, minimum energy problem, matrix quantum mechanics, rooted edge, planar limit, singlet sector, hitting probabilities, joint eigenvector, balancing condition, random matrix ensemble, basic hypergeometric series Key Phrases - Capitalized Phrases (CAPs): (learn more)
Kluwer Academic Publishers, New York, Cambridge Univ, Idempotent Analysis, Idempotent Mathematics, Russia Abstract, Yangians of Lie, Russian Math, Leiden University, Soviet Math, London Math, Pure Appl, Pure Math, Random Structures Algorithms New!
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theta hypergeometric series, functional invariance principle, elliptic hypergeometric series, idempotent version, elliptic beta integrals, uniform random mappings, alternating tangles, idempotent space, external randomization, asymptotic combinatorics, string partition function, weighted mappings, double scaling limit, tangle diagrams, fermionic model, minimum energy problem, matrix quantum mechanics, rooted edge, planar limit, singlet sector, hitting probabilities, joint eigenvector, balancing condition, random matrix ensemble, basic hypergeometric series Key Phrases - Capitalized Phrases (CAPs): (learn more)
Kluwer Academic Publishers, New York, Cambridge Univ, Idempotent Analysis, Idempotent Mathematics, Russia Abstract, Yangians of Lie, Russian Math, Leiden University, Soviet Math, London Math, Pure Appl, Pure Math, Random Structures Algorithms New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 34
books:
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38
books
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- Special Functions (Encyclopedia of Mathematics and its Applications) by George E. Andrews in Back Matter (1), and Back Matter (2)
- Random Matrices, Volume 142, Third Edition (Pure and Applied Mathematics) by Madan Lal Mehta on page 21, and page 70
- Fluctuating Geometries in Statistical Mechanics and Field Theory (Les Houches Summer School Proceedings, Vol 62) by F. David P. Ginsparg on page 21
- Knots and Links (AMS Chelsea Publishing) by Dale Rolfsen on page 111
- Random Mappings (Translations Series in Mathematics and Engineering) by Valentin F. Kolchin on page 143
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- Big Queues (Lecture Notes in Mathematics) by Ayalvadi J. Ganesh in Back Matter
- Multiscale Problems and Methods in Numerical Simulations: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, ... Mathematics / C.I.M.E. Foundation Subseries) by James H. Bramble in Back Matter
- Noncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 (Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries) by Alain Connes in Back Matter
- Gröbner Bases and the Computation of Group Cohomology (Lecture Notes in Mathematics) by David J. Green in Back Matter
- The Valuative Tree (Lecture Notes in Mathematics) by Charles Favre in Back Matter
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