New Trends in Mathematical Physics: Selected contributions of the XVth International Congress on Mathematical Physics

Front Matter....Pages i-xlii
Entropy of Eigenfunctions....Pages 1-22
Stability of Doubly Warped Product Spacetimes....Pages 23-32
Rigorous Construction of Luttinger Liquids Through Ward Identities....Pages 33-43
New Algebraic Aspects of Perturbative and Non-perturbative Quantum Field Theory....Pages 45-58
Exact Solution of the Six-Vertex Model with Domain Wall Boundary Conditions....Pages 59-72
Mathematical Issues in Loop Quantum Cosmology....Pages 73-86
Boundary Effects on the Interface Dynamics for the Stochastic Allen–Cahn Equation....Pages 87-93
Dimensional Entropies and Semi-Uniform Hyperbolicity....Pages 95-116
The Scaling Limit of (Near-)Critical 2D Percolation....Pages 117-126
Black Hole Entropy Function and Duality....Pages 127-134
Weak Turbulence for Periodic NLS....Pages 135-142
Angular Momentum-Mass Inequality for Axisymmetric Black Holes....Pages 143-148
Almost Everything About the Fibonacci Operator....Pages 149-159
Entanglement-Assisted Quantum Error-Correcting Codes....Pages 161-172
Particle Decay in Ising Field Theory with Magnetic Field....Pages 173-185
Fluctuations and Large Deviations in Non-equilibrium Systems....Pages 187-210
Robust Heterodimensional Cycles and Tame Dynamics....Pages 211-229
Hamiltonian Perturbations of Hyperbolic PDEs: from Classification Results to the Properties of Solutions....Pages 231-276
Lattice Supersymmetry from the Ground Up....Pages 277-284
Convergence of Symmetric Trap Models in the Hypercube....Pages 285-297
Spontaneous Replica Symmetry Breaking in the Mean Field Spin Glass Model....Pages 299-311
Surface Operators and Knot Homologies....Pages 313-343
Conformal Field Theory and Operator Algebras....Pages 345-356
Diffusion and Mixing in Fluid Flow: A Review....Pages 357-369
Random Schrödinger Operators: Localization and Delocalization, and All That....Pages 371-388
Unifying R-Symmetry in M-Theory....Pages 389-401
Stable Maps are Dense in Dimensional One....Pages 403-412
Large Gap Asymptotics for Random Matrices....Pages 413-419
On the Derivation of Fourier’s Law....Pages 421-431
Noncommutative Manifolds and Quantum Groups....Pages 433-455
Topological Strings on Local Curves....Pages 457-473
Repeated Interaction Quantum Systems....Pages 475-494
String-Localized Quantum Fields, Modular Localization, and Gauge Theories....Pages 495-508
Kinks and Particles in Non-integrable Quantum Field Theories....Pages 509-523
Exponential Decay Laws in Perturbation Theory of Threshold and Embedded Eigenvalues....Pages 525-538
Energy Diffusion and Superdiffusion in Oscillators Lattice Networks....Pages 539-547
Trying to Characterize Robust and Generic Dynamics....Pages 549-563
Dynamics of Bose-Einstein Condensates....Pages 565-589
Locality Estimates for Quantum Spin Systems....Pages 591-614
On Resolvent Identities in Gaussian Ensembles at the Edge of the Spectrum....Pages 615-627
Energy Current Correlations for Weakly Anharmonic Lattices....Pages 629-641
Metastates, Translation Ergodicity, and Simplicity of Thermodynamic States in Disordered Systems: an Illustration....Pages 643-652
Random Matrices, Non-intersecting Random Walks, and Some Aspects of Universality....Pages 653-666
Homogenization of Periodic Differential Operators as a Spectral Threshold Effect....Pages 667-683
ABCD and ODEs....Pages 685-695
Nonrational Conformal Field Theory....Pages 697-739
Kinetically Constrained Models....Pages 741-752
The Distributions of Random Matrix Theory and their Applications....Pages 753-765
Hybrid Formalism and Topological Amplitudes....Pages 767-803
Quantum Phases of Cold Bosons in an Optical Lattice....Pages 805-822
Random Walks in Random Environments in the Perturbative Regime....Pages 823-826
Back Matter....Pages 827-872