Author(s): M. Aizenman (Chief Editor)
Publisher: Springer
Year: 2009
Language: English
Pages: 1080
Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich™s Type Data......Page 1
A Criterion for Uniqueness of Lagrangian Trajectories for Weak Solutions of the 3D Navier-Stokes Equations......Page 15
Time-Asymptotic Behavior of Wave Propagation Around a Viscous Shock Profile......Page 23
An Application of Mirror Extensions......Page 83
Green™s Function for the Hodge Laplacian on Some Classes of Riemannian and Lorentzian Symmetric Spaces......Page 104
Asymptotics in ASEP with Step Initial Condition......Page 127
Power Law Inflation......Page 153
Robustness of Discrete Dynamics via Lyapunov Sequences......Page 217
K-Causality Coincides with Stable Causality......Page 237
Effective Superpotentials for Compact D5-Brane Calabi-Yau Geometries......Page 247
The Structure of Renormalization Hopf Algebras for Gauge Theories I: Representing Feynman Graphs on BV-Algebras......Page 289
Large Deviations, Fluctuations and Shrinking Intervals......Page 318
On the Structure of the Fusion Ideal......Page 332
Torelli Theorem for the Deligne−Hitchin Moduli Space......Page 353
Growth of Sobolev Norms and Controllability of the Schrödinger Equation......Page 366
A New Spectral Triple over a Space of Connections......Page 383
A Class of Integrable Flows on the Space of Symmetric Matrices......Page 393
Rotational Surfaces in L3 and Solutions of the Nonlinear Sigma Model......Page 430
Long-Time Asymptotics for the Focusing NLS Equation with Time-Periodic Boundary Condition on the Half-Line......Page 471
Relativistic Diffusion in Gödel™s Universe......Page 515
A Numerical Study of Arnold Diffusion in a Priori Unstable Systems......Page 548
Harmonic Measure and SLE......Page 568
Adiabatic Limit and the Slow Motion of Vortices in a Chern-Simons-Schrödinger System......Page 587
A Toroidal Magnetic Field Theorem......Page 623
On a Constrained 2-D Navier-Stokes Equation......Page 640
On the Helicity in 3D-Periodic Navier−Stokes Equations II: The Statistical Case......Page 667
Moduli Spaces of Instantons on the Taub-NUT Space......Page 706
Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit......Page 724
A Penrose-Like Inequality for General Initial Data Sets......Page 765
A Simple Proof of Hardy-Lieb-Thirring Inequalities......Page 775
Regularity Criteria for the Dissipative Quasi-Geostrophic Equations in Hölder Spaces......Page 787
Analytic Torsion of a Bounded Generalized Cone......Page 799
Introduction......Page 847
Notation......Page 849
Localization of Vortex-Stretching......Page 850
Control of the Localized Enstrophy......Page 851
Localization of the Coherence of the Vorticity Direction Field Condition for the Regularity......Page 852
On the Lie-Algebraic Origin of Metric 3-Algebras......Page 857
Localization Bounds for Multiparticle Systems......Page 889
Introduction......Page 921
Proof of Lemma 1.2......Page 923
References......Page 925
The Area of Horizons and the Trapped Region......Page 926
Standing Ring Blow up Solutions to the N-Dimensional Quintic Nonlinear Schrödinger Equation......Page 958
Strominger−Yau−Zaslow Geometry, Affine Spheres and Painlevé III......Page 982
A Negative Mass Theorem for Surfaces of Positive Genus......Page 1010
Hamiltonian Systems Admitting a Runge−Lenz Vector and an Optimal Extension of Bertrand™s Theorem to Curved Manifolds......Page 1017
References......Page 1031
Spectral Conditions for Positive Maps......Page 1034
Eigenvector Localization for Random Band Matrices with Power Law Band Width......Page 1048
