Disordered and Complex Systems: London, United Kingdom, 10-14 July, 2000 Book

	Preface
	Levy Statistics for Single Molecule Spectroscopy in Low Temperature Glass	3
	Information Content of Neural Networks with Self Control and Variable Activity	11
	Storage Capacity of the Tilinglike Learning Algorithm	17
	Saddles on the Potential Energy Landscape of a Lennard-Jones Liquid	23
	Glassy Dynamics of a Two-Dimensional Non-Disordered Spin Model	29
	Proliferation Assisted Barrier Crossing and Population Dynamics	35
	Vulcanization and the Random Solid State It Yields: A Statistical Mechanical Perspective	41
	Optimal Capacity of Ashkin-Teller Neural Networks	49
	Cluster Derivation of the Parisi Scheme for Disordered Systems	55
	Statistical Mechanics Models for Jamming in Granular Media	61
	Absence of Replica Symmetry Breaking in a Region of the Phase Diagram of the Ising Spin Glass	67
	Stochastic Stability	73
	Configurational Entropy and the One-Step RSB Scenario in Glasses	81
	Public Key Cryptography and Error Correcting Codes as Ising Models	89
	Statistical Physics of Adaptive Correlation of Agents in a Market	95
	Random Field Ising Chains and Neural Networks with Synchronous Dynamics	101
	Geometrical Methods in Learning Theory	109
	Geometry of Neural Networks and Models with Singularities	117
	Information Geometry and the Quantum Estimation Problem: The Phase-Space Connection	123
	Monotone Metrics on Statistical Manifolds of Density Matrices by Geometry of Non-Commutative L[superscript 2]-Spaces	129
	Infinite Dimensional Quantum Information Geometry	141
	Dualistic Properties of the Manifold of Quantum States	147
	One Real Hilbertian Info-Manifolds	153
	New Ideas in Non-Parametric Estimation	159
	The Uniqueness of the Chentsov Metric	165
	Symmetry in Phase Space of a Chaotic System	173
	A Topological Method for Studying Dynamical Systems in Classical Mechanics	179
	Chaos and Gram's Matrix	185
	Spectra of Random Matrices Close to Unitary and Scattering Theory for Discrete-Time Systems	191
	Statistical Mechanics of Random Matrices: Application to Disordered Metals	197
	Qualitative Properties of the Ground State in Nelson's Scalar Field Model: A Gibbs Measure-Based Approach	203
	On the Application of Quantum L[subscript p]-Spaces	209
	The l/r[superscript 2] Integrable System: A Universal Hamiltonian for "Complex" Level Dynamics	215
	The Distribution of the Modes of Coupled Quartic Oscillators	223
	Nonlinear Relation between Diffusion and Conductivity for Levy Flights	231
	Steady States and Long Time Asymptotics of Solutions of Streater's Models	237
	Scaling in Nonlinear Parabolic Equations: Applications to Debye System	243
	Estimates for Fundamental Solutions of Parabolic Equations with Application to a Nonlinear Problem	249
	A Note on Nonlocal Equations in Mathematical Physics	255
	Risk Avalanches in Financial Markets	263
	Hedging Contingent Claims on Defaultable Assets	269
	Hyberbolic and Semi-Parametric Models in Finance	275
	Applications of Information Geometry to Interest Rate Theory	281
	Measures of Dependence for Multivariate Levy Distributions	289
	Scaling and Multiscaling in Financial Markets	297
	Diagrammatic Approach to Real Options	303
	Instability of Implied Volatility, Fictitious Skews and Smiles, and the Hazards of Exotics: The Importance of the Inverse Function Theorem in Mathematical Finance	309
	Valuation of Financial Models with Non-Linear State Spaces	315
	Natural Hazard Metaphors for Financial Crises	321
	Martingale Approach to Real Options	325
	Author Index	331