Title | European Congress of Mathematics [electronic resource] : Barcelona, July 10-14, 2000 Volume II / edited by Carles Casacuberta, Rosa Maria Mirรณ-Roig, Joan Verdera, Sebastiร Xambรณ-Descamps |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2001 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8266-8 |
Descript | XII, 641 p. online resource |
Table 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 PDEโs 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