Description: Periodic Orbits, Spectral Statistics, and the Riemann Zeros.- Supersymmetric Generalization of Dyson's Brownian Motion (Diffusion).- What Happens to the Integer Quantum Hall Effect in Three Dimensions?.- Trace Formulas in Classical Dynamical Systems.- Theory of Eigenfunction Scarring.- Nonequilibrium Effects in the Tunneling Conductance Spectra of Small Metallic Particles.- Pair Correlations of Quantum Chaotic Maps from Supersymmetry.- Semiclassical Quantization of Maps and Spectral Correlations.- Wave Functions, Wigner Functions and Green Functions of Chaotic Systems.- Wave Functions in Chaotic Billiards: Supersymmetry Approach.- Correlations of Wave Functions in Disordered Systems.- Spatial Correlations in Chaotic Eigenfunctions.- Level Curvature Distribution Beyond Random Matrix Theory.- Almost-Hermitian Random Matrices: Applications to the Theory of Quantum Chaotic Scattering and Beyond.- Topological Features of the Magnetic Response in Inhomogeneous Magnetic Fields.- From Classical To Quantum Kinetics.- Stochastic Scattering.- H = xp and The Riemann Zeros.- Parametric Random Matrices: Static and Dynamic Applications.

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