Vladas Sidoravicius 
New Trends in Mathematical Physics [PDF ebook] 
Selected contributions of the XVth International Congress on Mathematical Physics

Entropy of Eigenfunctions.- Stability of Doubly Warped Product Spacetimes.- Rigorous Construction of Luttinger Liquids Through Ward Identities.- New Algebraic Aspects of Perturbative and Non-perturbative Quantum Field Theory.- Exact Solution of the Six-Vertex Model with Domain Wall Boundary Conditions.- Mathematical Issues in Loop Quantum Cosmology.- Boundary Effects on the Interface Dynamics for the Stochastic Allen–Cahn Equation.- Dimensional Entropies and Semi-Uniform Hyperbolicity.- The Scaling Limit of (Near-)Critical 2D Percolation.- Black Hole Entropy Function and Duality.- Weak Turbulence for Periodic NLS.- Angular Momentum-Mass Inequality for Axisymmetric Black Holes.- Almost Everything About the Fibonacci Operator.- Entanglement-Assisted Quantum Error-Correcting Codes.- Particle Decay in Ising Field Theory with Magnetic Field.- Fluctuations and Large Deviations in Non-equilibrium Systems.- Robust Heterodimensional Cycles and Tame Dynamics.- Hamiltonian Perturbations of Hyperbolic PDEs: from Classification Results to the Properties of Solutions.- Lattice Supersymmetry from the Ground Up.- Convergence of Symmetric Trap Models in the Hypercube.- Spontaneous Replica Symmetry Breaking in the Mean Field Spin Glass Model.- Surface Operators and Knot Homologies.- Conformal Field Theory and Operator Algebras.- Diffusion and Mixing in Fluid Flow: A Review.- Random Schrödinger Operators: Localization and Delocalization, and All That.- Unifying R-Symmetry in M-Theory.- Stable Maps are Dense in Dimensional One.- Large Gap Asymptotics for Random Matrices.- On the Derivation of Fourier’s Law.- Noncommutative Manifolds and Quantum Groups.- Topological Strings on Local Curves.- Repeated Interaction Quantum Systems.- String-Localized Quantum Fields, Modular Localization, and Gauge Theories.- Kinks and Particles in Non-integrable Quantum Field Theories.- Exponential Decay Laws in Perturbation Theory of Threshold and Embedded Eigenvalues.- Energy Diffusion and Superdiffusion in Oscillators Lattice Networks.- Trying to Characterize Robust and Generic Dynamics.- Dynamics of Bose-Einstein Condensates.- Locality Estimates for Quantum Spin Systems.- On Resolvent Identities in Gaussian Ensembles at the Edge of the Spectrum.- Energy Current Correlations for Weakly Anharmonic Lattices.- Metastates, Translation Ergodicity, and Simplicity of Thermodynamic States in Disordered Systems: an Illustration.- Random Matrices, Non-intersecting Random Walks, and Some Aspects of Universality.- Homogenization of Periodic Differential Operators as a Spectral Threshold Effect.- ABCD and ODEs.- Nonrational Conformal Field Theory.- Kinetically Constrained Models.- The Distributions of Random Matrix Theory and their Applications.- Hybrid Formalism and Topological Amplitudes.- Quantum Phases of Cold Bosons in an Optical Lattice.- Random Walks in Random Environments in the Perturbative Regime.