Lectures related to Mixing (mathematics)

A Conjecture of Erdös: Proof by Moreira, Richter and Robertson

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

Smooth Dynamics: Bernoulli and K Properties

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

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

3-dimensional Anosov flows: Mixing Properties and Equilibrium Measures

Explores mixing properties and equilibrium measures in 3-dimensional Anosov flows.

Introduction to Quantum Chaos

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

Mixing Properties of Infinite Measure Preserving Systems

Explores mixing properties of infinite measure preserving systems, focusing on suspensions, Govers transformations, and Lorentz gas.

3-dimensional Anosov flows: Exponential Mixing and Transfer Operators

Covers 3-dimensional Anosov flows, exponential mixing, transfer operators, and equilibrium measures.

Correlations of the Liouville function

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.

Chaos Theory: Discrete Dynamical Systems

Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.

Lower Bound on Total Variation Distance

Explores the lower bound on total variation distance in Markov chains and its implications on mixing time.

Mild Dissipative Surface Dynamics

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

Ergodic properties of low complexity symbolic systems

Explores the influence of complexity on ergodic properties of symbolic systems, presenting the Curtis-Hedlund-Lyndon Theorem and constructions of minimal subshifts.

Interactive Lecture HMM: Definitions and Topologies

Explores Hidden Markov Models definitions, topologies, learning process, and current research trends.

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.

Banach Spaces and Thermodynamic Formalism

Introduces Banach spaces for maximal entropy in billiard maps, discussing spectral bounds, norms, and measure construction.

Markov Chains: Homogeneous Processes and Stationary Distributions

Explores Markov chains, focusing on homogeneous processes and stationary distributions, with practical exercises.

Chaos Theory: Maps and Lyapunov Exponents

Explores chaotic maps, fix points, stability, and Lyapunov exponents in discrete systems, emphasizing their role in determining chaos.

Deterministic Chaos and Statistics

Explores the Lorenz System, sensitivity to initial conditions, chaotic systems, and topological mixing.

Joint Equidistribution of CM Points

Covers the joint equidistribution of CM points and the ergodic decomposition theorem in compact abelian groups.

Chaos Theory: Logistic Map and Periodic Orbits

Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.