Markov Partition Courses and Certifications

ICTP Mathematics

Markov Partition for Hyperbolic Systems with Singularities - ICTP 2021

Explore Markov partitions in hyperbolic systems with singularities, covering scatters, collision maps, uniform hyperbolicity, and SRB measures. Gain insights into advanced mathematical concepts and their applications.

• YouTube
• 1 hour 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

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

Inducing Schemes and Their Role in Thermodynamics - ICTP 2021

Explore inducing schemes in thermodynamics, focusing on Young diffeomorphisms, symbolic representations, and equilibrium measures. Gain insights into pressure analyticity and phase transitions.

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

ICTP Mathematics

SRB Measures and Young Towers - Lecture 3 of 4

Explore SRB measures and Young towers in dynamical systems, focusing on nonuniformly hyperbolic systems and their statistical properties. Learn about recent advances in this field of mathematics.

• YouTube
• 1 hour 54 minutes
• On-Demand
• Free Video

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 4

Explore advanced techniques in nonuniformly hyperbolic dynamics, focusing on symbolic coding and statistical properties of complex systems using Markov Partitions and Young Towers.

• YouTube
• 2 hours 9 minutes
• On-Demand
• Free Video

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 3 of 5

Explores advanced techniques in nonuniformly hyperbolic systems, focusing on symbolic dynamics and Markov partitions. Covers key concepts, challenges, and recent developments in the field of dynamical systems.

• YouTube
• 2 hours 13 minutes
• On-Demand
• Free Video

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 2 of 5

Explores advanced techniques in symbolic dynamics for nonuniformly hyperbolic systems, focusing on graph transforms, recurrence properties, and Markov partitions to analyze complex dynamical behaviors.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 3B

Delve into advanced dynamical systems theory, exploring chain recurrence classes, viral chain properties, flexible periodic points, and filtrating Markov partitions in diffeomorphisms.

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

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 3a

Delve into advanced concepts of chain recurrence classes, exploring viral chain properties, flexible periodic points, and filtrating Markov partitions in diffeomorphisms and dynamical systems.

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

Simons Semester on Dynamics

Markovian Families in the Bifoliated Plane of Anosov Flows in Dimension 3

Explore a 31-minute lecture on Markovian families in the bifoliated plane of Anosov flows in three dimensions. Delve into a novel approach for classifying transitive Anosov flows on 3-manifolds up to orbital equivalence. Learn about the generalization of…

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

BIMSA

Highlights from the History of Ergodic Theory

Explore the historical development of ergodic theory with Yuval Peres, from Poincaré's recurrence to modern applications in probability theory, group actions, and number theory.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video