Lectures related to Symbolic dynamics

Smooth Dynamics: Bernoulli and K Properties

Explores Bernoulli and K properties in smooth dynamics, including equivalence, examples, and implications.

3D Anosov Flows: Exponential Mixing and Geometric Properties

Explores the exponential mixing of 3D Anosov flows and their geometric properties, including chaotic behavior and hyperbolic dynamics.

Quenched Linear Response: Random Hyperbolic Dynamics

Explores quenched linear response for random hyperbolic dynamics and its applications in rigorous results.

Thermodynamic Formalism for Dispersing Billiards

Explores the thermodynamic formalism for dispersing billiards, covering topological entropy, weight functions, and fragmentation lemmas.

Introduction to Quantum Chaos

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

Fractional Susceptibility in Quadratic Dynamics

Explores the fractional susceptibility function in quadratic dynamical systems, highlighting its significance and the associated paradoxes in parameter dependence.