European Congress of Mathematics

Table of Contents

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   Book Overview
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   Chapter 1 Classification Results on Valuations on Convex Sets
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   Chapter 2 Towards a Microscopic Theory of Phase Coexistence
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   Chapter 3 Constructing Compact 8-Manifolds with Holonomy Spin(7) from Calabi—Yau Orbifolds
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   Chapter 4 Banach KK -Theory and the Baum-Connes Conjecture
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   Chapter 5 An Introduction to Non-Commutative Mori Theory
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   Chapter 6 Geometric Methods in Complex Analysis
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   Chapter 7 Vanishing Cycles and Mutation
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   Chapter 8 Critical Exponents, Conformal Invariance and Planar Brownian Motion
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    Chapter 9 Computer Algebra Algorithms for Linear Ordinary Differential and Difference equations
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    Chapter 10 Some Introductory Remarks on Computer Algebra
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    Chapter 11 A Study of Iteration Formulas for Root Finding, Where Mathematics, Computer Algebra and Software Engineering Meet
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    Chapter 12 Industrial Applications of Computer Algebra: Climbing Up a Mountain, Going Down a Hill
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    Chapter 13 Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving
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    Chapter 14 Explicit Towers of Drinfeld Modular Curves
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    Chapter 15 Curves over Finite Fields Attaining the Hasse-Weil Upper Bound
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    Chapter 16 Asymptotically Good Towers of Global Fields
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    Chapter 17 Explicit Constructions of Towers of Function Fields with Many Rational Places
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    Chapter 18 Curves over Finite Fields and Codes
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    Chapter 19 Authentication Codes and Algebraic Curves
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    Chapter 20 Some Aspects of Mean Curvature Flow in Presence of Nonsmooth Anisotropies
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    Chapter 21 A Phase-Field Model for Diffusion-Induced Grain Boundary Motion
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    Chapter 22 Evolution of a Closed Interface between Two Liquids of Different Types
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    Chapter 23 Applications of a Local Energy Method to Systems of PDE’s Involving Free Boundaries
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    Chapter 24 Phase Boundaries in Alloys with Elastic Misfit
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    Chapter 25 Some Aspects of the Thin Film Equation
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    Chapter 26 A Brief Overview on The Obstacle Problem
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    Chapter 27 The Impact of Monotonicity Formulas in Regularity of Free Boundaries
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    Chapter 28 A Free Boundary Problem: Contributions from Modern Analysis
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    Chapter 29 Risk Sensitive Control with Applications to Fixed Income Portfolio Management
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    Chapter 30 Wavelet Based PDE Valuation of Derivatives
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    Chapter 31 Some Analytic Facts on the Generalized Hyperbolic Model
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    Chapter 32 Functionals of Brownian Motion in Path-Dependent Option Valuation
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    Chapter 33 Optimal Portfolios under a Value at Risk Constraint
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    Chapter 34 Trace Formulas and Spectral Statistics of Diffractive Systems
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    Chapter 35 Semiclassical Results in the Linear Response Theory
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    Chapter 36 The Berry-Tabor Conjecture
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    Chapter 37 On Quantum Unique Ergodicity for Linear Maps of the Torus
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    Chapter 38 Bound Information: The Classical Analog to Bound Quantum Entanglemen
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    Chapter 39 D-Branes on Calabi-Yau Manifolds
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    Chapter 40 Knot Invariants and Chern-Simons Theory
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    Chapter 41 Topological Quantum Field Theory and Four-Manifolds
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    Chapter 42 D-Brane Conformal Field Theory and Bundles of Conformal Blocks
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    Chapter 43 From Quiver Diagrams to Particle Physics
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    Chapter 44 From Symplectic Packing to Algebraic Geometry and Back
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    Chapter 45 New Invariants of Legendrian Knots
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    Chapter 46 Contact Topology in Dimension Greater than Three
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    Chapter 47 The Hamiltonian Seifert Conjecture: Examples and Open Problems
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    Chapter 48 The Fine Geometry of the Cantor Families of Invariant Tori in Hamiltonian Systems
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    Chapter 49 Symplectic and Contact Geometry and Hamiltonian Dynamics
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    Chapter 50 Simple Coisotropic Projections and Caustics
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    Chapter 51 Reassigned Scalograms and Singularities
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    Chapter 52 The Impact of Wavelet Coefficient Correlations on Fractionally Differenced Process Estimation
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    Chapter 53 Wavelet-Based Modelling of Persistent Periodicities
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    Chapter 54 Network Traffic Modeling Using a Multifractal Wavelet Model
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    Chapter 55 Denoising Via Block Wiener Filtering in Wavelet Domain
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    Chapter 56 Wavelet Analysis of Discrete Time Series