Author(s): M. Aizenman (Chief Editor)
Publisher: Springer
Year: 2007
Language: English
Pages: 814
The Operator Product Expansion for Perturbative Quantum Field Theory in Curved Spacetime......Page 1
Double Standard Maps......Page 37
Functional Integral Construction of the Massive Thirring model: Verification of Axioms and Massless Limit......Page 66
Quantization of Symplectic Dynamical r -Matrices and the Quantum Composition Formula......Page 118
Quantum Ergodicity for Graphs Related to Interval Maps......Page 136
Interior Regularity Criteria for Suitable Weak Solutions of the Navier-Stokes Equations......Page 159
Universality Classes in Burgers Turbulence......Page 175
Nonexistence of Self-Similar Singularities for the 3D Incompressible Euler Equations......Page 201
Intrinsic Definitions of fiRelative Velocityfl in General Relativity......Page 214
Sharp Two−Sided Heat Kernel Estimates for Critical Schrödinger Operators on Bounded Domains......Page 234
Design of Hyperbolic Billiards......Page 279
Counting Regions with Bounded Surface Area......Page 301
Large N Expansion of q -Deformed Two-Dimensional Yang-Mills Theory and Hecke Algebras......Page 312
Looped Cotangent Virasoro Algebra and Non-Linear Integrable Systems in Dimension 2 + 1......Page 351
t1/3 Superdiffusivity of Finite-Range Asymmetric Exclusion Processes on Z......Page 373
An Algebra of Deformation Quantization for Star-Exponentials on Complex Symplectic Manifolds......Page 389
Heat Kernel and Number Theory on NC-Torus......Page 409
Contour Dynamics of Incompressible 3-D Fluids in a Porous Medium with Different Densities......Page 438
One-and-a-Half Quantum de Finetti Theorems......Page 465
Universality of a Double Scaling Limit near Singular Edge Points in Random Matrix Models......Page 491
Scattering Solutions in Networks of Thin Fibers: Small Diameter Asymptotics......Page 525
On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices......Page 552
Upper Bounds On Wavepacket Spreading For Random Jacobi Matrices......Page 591
On the Distinguishability of Random Quantum States......Page 609
Regularity of the Diffusion Coefficient Matrix for Lattice Gas Reversible under Gibbs Measures with Mixing Condition......Page 627
Adiabatic Theorems for Quantum Resonances......Page 641
Spectral Analysis and Zeta Determinant on the Deformed Spheres......Page 666
Geometrical 2+1-Gravity and the Chern-Simons Formulation: Grafting, Dehn Twists, Wilson Loop Observables and the Cosmological Constant......Page 694
The Parameter Planes of ?zm expz for m = 2*......Page 744
Partial Regularity of Solutions to the Four-Dimensional Navier-Stokes Equations at the First Blow-up Time......Page 773
Obstructions to the Existence of Sasaki−Einstein Metrics......Page 790