Dynamical Systems Courses and Certifications

ICTP Mathematics

Continuity of Entropy Map for Nonuniformly Hyperbolic Systems - Wenxiang Sun

Explore the mathematical concept of entropy continuity in nonuniformly hyperbolic systems, delving into advanced theoretical frameworks and their applications.

• YouTube
• 40 minutes
• On-Demand
• Free Video

ICTP Mathematics

Renormalization in Low Dimensional Dynamics - Lecture 1

Explore renormalization techniques in low-dimensional dynamical systems, focusing on theoretical foundations and practical applications in mathematical analysis.

• YouTube
• 45 minutes
• On-Demand
• Free Video

ICTP Mathematics

SRB Measures and Young Towers - Lecture 4

Explore advanced techniques in dynamical systems, focusing on SRB measures and Young Towers. Learn about recent developments and applications in nonuniformly hyperbolic systems.

• YouTube
• 2 hours 23 minutes
• On-Demand
• Free Video

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 5

Explore advanced techniques in symbolic dynamics for complex hyperbolic systems. Gain insights into infinite Markov partitions and their applications in studying statistical properties of dynamical systems.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

ICTP Mathematics

SRB Measures and Young Towers - Lecture 2 of 4

Explore SRB measures and Young Towers in nonuniformly hyperbolic systems. Learn advanced techniques for studying statistical properties of complex dynamical systems.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

ICTP Mathematics

SRB Measures and Young Towers - Lecture 1

Explore groundbreaking techniques in Ergodic Theory applied to differentiable dynamical systems. Learn about SRB measures, Markov Partitions, and Young Towers in nonuniformly hyperbolic systems.

• YouTube
• 2 hours 7 minutes
• On-Demand
• Free Video

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 1 of 5

Explore symbolic dynamics for nonuniformly hyperbolic systems, focusing on Markov Partitions and Young Towers. Learn advanced techniques to analyze complex dynamical systems and their statistical properties.

• YouTube
• 2 hours 6 minutes
• On-Demand
• Free Video

ICTP Mathematics

Renormalization in Entropy Zero Systems - Lecture 5

Explore advanced concepts in dynamical systems, focusing on renormalization techniques for entropy zero systems. Gain insights from expert Corinna Ulcigrai.

• YouTube
• 55 minutes
• On-Demand
• Free Video

ICTP Mathematics

Renormalization in Entropy Zero Systems - Lecture 4

Explore advanced concepts in dynamical systems, focusing on renormalization techniques for entropy zero systems. Gain insights from expert Khadim War.

• YouTube
• 47 minutes
• On-Demand
• Free Video

ICTP Mathematics

Renormalization in Entropy Zero Systems - Lecture 3

Explore advanced mathematical concepts in dynamical systems, focusing on renormalization techniques for entropy zero systems in this in-depth lecture by Corinna Ulcigrai.

• YouTube
• 53 minutes
• On-Demand
• Free Video

ICTP Mathematics

Renormalization in Entropy Zero Systems - Lecture 2

Explore advanced concepts in dynamical systems, focusing on renormalization techniques for entropy zero systems. Gain insights from expert Corinna Ulcigrai.

• YouTube
• 51 minutes
• On-Demand
• Free Video

ICTP Mathematics

Renormalization in Entropy Zero Systems - Lecture 1

Explore renormalization techniques in entropy zero dynamical systems, focusing on advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 49 minutes
• On-Demand
• Free Video

ICTP Mathematics

Piecewise Expanding Maps of the Circle - Lecture 5

Explore piecewise expanding maps on the circle, delving into advanced mathematical concepts and their applications in dynamical systems theory.

• YouTube
• 46 minutes
• On-Demand
• Free Video

ICTP Mathematics

Rotations of the Circle and Renormalization - Lecture 4

Explore circle rotations and renormalization techniques in dynamical systems, focusing on advanced mathematical concepts and their applications.

• YouTube
• 49 minutes
• On-Demand
• Free Video

ICTP Mathematics

Piecewise Expanding Maps of the Circle - Lecture 4

Explore piecewise expanding maps on the circle, delving into advanced mathematical concepts and their applications in dynamical systems theory.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video