Ergodic Theory Courses and Certifications

International Centre for Theoretical Sciences

Chance and Chaos - How to Predict the Unpredictable by Jens Marklof

Explore the unpredictability of chaotic systems with Jens Marklof from the University of Bristol. Learn about the butterfly effect, climate modelling, and chaos theory in a 1.5-hour session.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Online Course

International Mathematical Union

Mariusz Lemanczyk: Furstenberg Disjointness, Ratner Properties and Sarnak’s Conjecture

Dive into Furstenberg disjointness, Ratner properties, and Sarnak’s conjecture with this under 1-hour material from the International Mathematical Union.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Introduction to Ergodic Theory 1

Dive into ergodic theory with ICTP Mathematics. Learn measure theory, sigma algebra, and Lebesgue measure construction in under an hour.

• YouTube
• 48 minutes
• On-Demand
• Free Online Course

International Mathematical Union

Noncommutative Ergodic Theory of Higher Rank Lattices

Explore the dynamics of positive definite functions and character rigidity of higher rank lattices with the International Mathematical Union. Less than 1-hour study.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Pointwise Ergodic Theorems for Bilinear Polynomial Averages

Explore pointwise ergodic theorems for bilinear polynomial averages with the Hausdorff Center for Mathematics. Learn about Furstenberg's correspondence principle, Bergelson's conjecture, and more.

• YouTube
• 50 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Commensurators of Thin Subgroups

Explore the origins and developments of Ergodic theory and dynamical systems in this intensive two-week workshop by ICTS, featuring lectures from top experts and opportunities for participant presentations.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Lyapunov Exponents, From the 1960's to the 2020's by Marcelo Viana

Explore the evolution of Lyapunov exponents from the 1960s to 2020s with Marcelo Viana in this 1-2 hour lecture offered by the International Centre for Theoretical Sciences.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Online Course

Kavli Institute for Theoretical Physics

Influence Matrix Approach to Ergodic and Non-Ergodic Quantum Dynamics - Dmitry Abanin

Explore quantum dynamics with the Kavli Institute for Theoretical Physics. Understand non-equilibrium many-body physics, entanglement dynamics, and more in under an hour.

• YouTube
• 34 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Random Walks on Hyperbolic Groups by Peter Haissinsky

Explore the intersection of probability theory, ergodic theory, and Gromov hyperbolic groups with this 1-2 hour program from the International Centre for Theoretical Sciences.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

The Ergodic Properties of the Kusuoka Measure - Mark Pollicott

Explore the ergodic properties of the Kusuoka measure with Mark Pollicott in less than an hour, offered by ICTP Mathematics.

• YouTube
• 44 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Reversible D-Dimensional CA Over the Ring ZM and Some Applications in Ergodic Theory

Explore the ergodic properties and entropies of 1D cellular automata with ICTP Mathematics. Learn about invertibility, entropy concepts, and topological entropy in under an hour.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course

Fields Institute

Connections Between Boolean-Valued Logic and Ergodic Structure Theory

Explore the links between Boolean-valued logic and ergodic structure theory in this short lecture by Asgar Jamneshan from Koç University, offered by Fields Institute.

• YouTube
• 50 minutes
• On-Demand
• Free Online Course

Fields Institute

The Complexity of Conjugacy and Orbit Equivalence for Free Ergodic Actions

Explore the complexity of conjugacy and orbit equivalence for free ergodic actions in this under 1-hour material from Fields Institute.

• YouTube
• 57 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Chaos and Ergodicity in Quantum and Classical Systems by Anatoli Polkovnikov

Explore the stability of quantum matter across scales, focusing on non-equilibrium physics and novel quantum phases, with International Centre for Theoretical Sciences.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Online Course

IMSC;  NPTEL

Measure Theory - IMSc

Measure theory is a tool for carrying out integration which behaves well with taking limits, and admitting a vast class of functions for which Riemann's integration theory is not applicable. Real-world applications of measure theory can be found in physi…

• Swayam
• 12 weeks
• Finished
• Free Online Course