Lectures related to Non-escaping points of Zorich maps

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

Explores shell components in transcendental parameter planes and attracting cycles.

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.

Explores thermodynamic formalism for weakly coarse expanding dynamical systems, covering equilibrium states, visual metrics, and symbolic coding.

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

Covers the renormalization of Hénon maps with zero entropy, focusing on integrable systems and attractors.

Explores stability properties and fixed points in discrete time solutions.

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

Covers the stability of discrete time periodic solutions and their properties.

Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.

Covers small scale stability conditions and asymptotic behavior around fixed points.

Covers the computation of Bethe free entropy and the interpretation of messages between variables and factors.

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

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

Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.

Explores bistability in the cell cycle, emphasizing positive feedback mechanisms and abrupt response transformations.

Focuses on fixed points in graph theory and their implications in algorithms and analysis.

Delves into renormalization, fractals, and strange attractors, exploring the properties of countable and uncountable sets.

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

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