Double Products and Hypersymplectic Structures on R^4n......Page 1 Semi-Focusing Billiards: Hyperbolicity......Page 17 Uniqueness of the SRB Measure for Piecewise Expanding Weakly Coupled Map Lattices in Any Dimension......Page 33 Toric Geometry, Sasaki−Einstein Manifolds and a New Infinite Class of AdS/CFT Duals......Page 51 The Threshold Effects for the Two-Particle Hamiltonians on Lattices......Page 90 PROP Profile of Poisson Geometry......Page 115 The Holevo Capacity of Infinite Dimensional Channels and the Additivity Problem......Page 134 Standard Potentials for Non-Even Dynamics......Page 157 On Eta-Einstein Sasakian Geometry......Page 173 A Proof of Crystallization in Two Dimensions......Page 205 Nonequilibrium Energy Profiles for a Class of 1-D Models......Page 233 Arithmetic Properties of Eigenvalues of Generalized Harper Operators on Graphs......Page 264 Schrödinger Maps and Anti-Ferromagnetic Chains......Page 293 Dyson's Constant in the Asymptotics of the Fredholm Determinant of the Sine Kernel......Page 310 A KAM Theorem for Hamiltonian Partial Differential Equations in Higher Dimensional Spaces......Page 335 KMS States and the Chemical Potential for Disordered Systems......Page 365 Univalent Functions and Integrable Systems......Page 384 The Map Between Conformal Hypercomplex/ Hyper-Kähler and Quaternionic-Kähler Geometry......Page 402 Inhomogenous Model of Crossing Loops and Multidegrees of Some Algebraic Varieties......Page 449 Bounds on the Spectral Shift Function and the Density of States......Page 478 Poisson Boundary of the Dual of SUqn......Page 493 Conservation of Resonant Periodic Solutions for the One-Dimensional Nonlinear Schrödinger Equation......Page 520 Space-Time Localization of a Class of Geometric Criteria for Preventing Blow-up in the 3D NSE......Page 541 Renormalisation of Noncommutative ?4-Theory by Multi-Scale Analysis......Page 551 q-Painlevé VI Equation Arising from q-UC Hierarchy......Page 581 Notes on Certain 0,2 Correlation Functions......Page 596 A Genus-3 Topological Recursion Relation......Page 630 Universal Bounds for Eigenvalues of a Buckling Problem......Page 647 Abrikosov Lattices in Finite Domains......Page 660 Ergodic Coactions with Large Multiplicity and Monoidal Equivalence of Quantum Groups......Page 686 Blowup of Smooth Solutions for Relativistic Euler Equations......Page 712 Orbital Stability of Double Solitons for the Benjamin-Ono Equation......Page 739
