Lectures related to 3-dimensional Anosov flows: Mixing Properties and Equilibrium Measures

Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.

Introduces informal proofs, explores practical applications, and explains theorem proofs using direct and indirect methods.

Explores the fusion of human, animal, and machine elements in literary works through the lens of metaphorical analysis.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.

Covers the abstract structure of measure-preserving systems and aims to understand their classification and ergodic decompositions.

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