Determinantal Point Processes and Extrapolation

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.