Springer Proceedings in Physics

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 Schrodinger's Operator with a Thue-Morse Potential.- 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 Schrodinger 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 Number Generators.- Bounds for Non-blocking Switch Networks.- The Ising Model and the Diophantine Moment Problem.- Statistical Theory of Numbers.- Algebraic Number Theory and Hamiltonian Chaos.- Semiclassical Properties of the Cat Maps.- Index of Contributors.