Introduction to Quantum Chaos

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Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.

Explores mild dissipative surface dynamics, including conservative behavior and ergodic functions.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.