Number Theory and Physics Proceedings of the Winter School, Les Houches, France, March 7–16, 1989
7 Les Houches Number theory, or arithmetic, sometimes referred to as the queen of mathematics, is often considered as the purest branch of mathematics. It also has the false repu tation of being without any application to other areas of knowledge. Nevertheless, throughout their history, physical an...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1990, 1990
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| Edition: | 1st ed. 1990 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- On the Non-commutative Torus of Real Dimension Two
- Topological Invariants Associated with Quasi-Periodic Quantum Hamiltonians
- Spectra of Some Almost Periodic Operators
- The Quantum Hall Effect and the Schrödinger Equation with Competing Periods
- Finite Automata in 1-D and 2-D Physics
- Summation Formulae for Substitutions on a Finite Alphabet
- The Inhomogeneous Ising Chain and Paperfolding
- IV Dynamical and Stochastic Systems
- A Nonlinear Evolution with Travelling Waves
- Iterating Random Maps and Applications
- Hannay Angles and Classical Perturbation Theory
- Nekhoroshev Stability Estimates for Symplectic Maps and Physical Applications
- p-adic Dynamical Systems
- V Further Arithmetical Problems, and Their Relationship to Physics
- Dirichlet Series Associated with a Polynomial
- Some Remarks on Random NumberGenerators
- Bounds for Non-blocking Switch Networks
- The Ising Model and the Diophantine Moment Problem
- Statistical Theory of Numbers
- I Conformally Invariant Field Theories, Integrability, Quantum Groups
- Z/NZ Conformal Field Theories
- Affine Characters and Modular Transformations
- Conformal Field Theory on a Riemann Surface
- Modular Invariance of Field Theories and String Compactifications
- Yang-Baxter Algebras and Quantum Groups
- Representations of Uq sl(2) for q a Root of Unity
- II Quasicrystals and Related Geometrical Structures
- Some Quasiperiodic Tilings as Modulated Lattices
- Types of Order and Diffraction Spectra for Tilings of the Line
- A Topological Constraint on the Atomic Structure of Quasicrystals
- From Approximants to Quasicrystals: A Non-standard Approach
- The Topological Structure of Grain Boundaries
- Calculation of 6D Atomic Surfaces from a Given Approximant Crystalline Structure Using Approximate Icosahedral Periodic Tilings
- III Spectral Problems, Automata and Substitutions
- Spectral Properties of Schrödinger’s Operator with a Thue-Morse Potential
- Algebraic Number Theory and Hamiltonian Chaos
- Semiclassical Properties of the Cat Maps
- Index of Contributors