Beschreibung
InhaltsangabeTable of Contents of Volume II.- Articles by Prize Winners.- Classification Results on Valuations on Convex Sets.- Towards a Microscopic Theory of Phase Coexistence.- Constructing Compact 8-Manifolds with Holonomy Spin(7) from Calabi-Yau Orbifolds.- Banach KK-Theory and the Baum-Connes Conjecture.- An Introduction to Non-Commutative Mori Theory.- Geometric Methods in Complex Analysis.- Vanishing Cycles and Mutation.- Critical Exponents, Conformal Invariance and Planar Brownian Motion.- Mini-Symposium on Computer Algebra.- Computer Algebra Algorithms for Linear Ordinary Differential and Difference Equations.- Some Introductory Remarks on Computer Algebra.- A Study of Iteration Formulas for Root Finding, Where Mathematics, Computer Algebra and Software Engineering Meet.- Industrial Applications of Computer Algebra: Climbing Up a Mountain, Going Down a Hill.- Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving.- Mini-Symposium on Curves over Finite Fields and Codes.- Explicit Towers of Drinfeld Modular Curves.- Curves over Finite Fields Attaining the Hasse-Weil Upper Bound.- Asymptotically Good Towers of Global Fields.- Explicit Constructions of Towers of Function Fields with Many Rational Places.- Curves over Finite Fields and Codes.- Authentication Codes and Algebraic Curves.- Mini-Symposium on Free Boundary Problems.- Some Aspects of Mean Curvature Flow in Presence of Nonsmooth Anisotropies.- A Phase-Field Model for Diffusion-Induced Grain Boundary Motion.- Evolution of a Closed Interface between Two Liquids of Different Types.- Applications of a Local Energy Method to Systems of PDE's Involving Free Boundaries.- Phase Boundaries in Alloys with Elastic Misfit.- Some Aspects of the Thin Film Equation.- A Brief Overview on the Obstacle Problem.- The Impact of Monotonicity Formulas in Regularity of Free Boundaries.- A Free Boundary Problem: Contributions from Modern Analysis.- Mini-Symposium on Mathematical Finance- Theory and Practice.- Risk Sensitive Control with Applications to Fixed Income Portfolio Management.- Wavelet Based PDE Valuation of Derivatives.- Some Analytic Facts on the Generalized Hyperbolic Model.- Functionals of Brownian Motion in Path-Dependent Option Valuation.- Optimal Portfolios under a Value at Risk Constraint.- Mini-Symposium on Quantum Chaology.- Trace Formulas and Spectral Statistics of Diffractive Systems.- Semiclassical Results in the Linear Response Theory.- The Berry- Tabor Conjecture.- On Quantum Unique Ergodicity for Linear Maps of the Torus.- Mini-Symposium on Quantum Computing.- Bound Information: The Classical Analog to Bound Quantum Entanglement.- Mini-Symposium on String Theory and M-Theory.- D-Branes on Calabi-Yau Manifolds.- Knot Invariants and Chern-Simons Theory.- Topological Quantum Field Theory and Four-Manifolds.- D-Brane Conformal Field Theory and Bundles of Conformal Blocks.- From Quiver Diagrams to Particle Physics.- Mini-Symposium on Symplectic and Contact Geometry and Hamiltonian Dynamics.- From Symplectic Packing to Algebraic Geometry and Back.- New Invariants of Legendrian Knots.- Contact Topology in Dimension Greater than Three.- The Hamiltonian Seifert Conjecture: Examples and Open Problems.- The Fine Geometry of the Cantor Families of Invariant Tori in Hamiltonian Systems.- Symplectic and Contact Geometry and Hamiltonian Dynamics.- Simple Coisotropic Projections and Caustics.- Mini-Symposium on Wavelet Applications in Signal Processing.- Reassigned Scalograms and Singularities.- The Impact of Wavelet Coefficient Correlations on Fractionally Differenced Process Estimation.- Wavelet-Based Modelling of Persistent Periodicities.- Network Traffic Modeling Using a Multifractal Wavelet Model.- Denoising Via Block Wiener Filtering in Wavelet Domain.- Wavelet Analysis of Discrete Time Series.
