Control Systems Courses

Hausdorff Center for Mathematics

The Dynamical Systems Approach to Spatially Homogenous Einstein-Vlasov Cosmology

Explore spatially homogenous Einstein-Vlasov cosmology using dynamical systems analysis. Investigate asymptotic solutions near singularities and expanding futures, focusing on Kantowski-Sachs models with Vlasov matter.

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

Hausdorff Center for Mathematics

Antonio Esposito: Nonlinear Degenerate Cross Diffusion Systems with Nonlocal Interaction

Explores nonlinear degenerate cross-diffusion systems with nonlocal interaction, proving global existence of weak solutions using a semi-implicit JKO scheme for applications in social sciences, finance, and biology.

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

Hausdorff Center for Mathematics

Topological Generalizations of Possible Worlds Semantics and Their Proof Systems

Topological generalizations of possible worlds semantics and their proof systems for modal and conditional logics, focusing on structural and computational aspects.

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

Hausdorff Center for Mathematics

Ricci Curvature and Functional Inequalities for Interacting Particle Systems

Explore entropic Ricci curvature bounds and their applications to interacting particle systems, focusing on functional inequalities and convergence rates to equilibrium in nonnegative curvature scenarios.

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

Hausdorff Center for Mathematics

Mathematics of Signal Design for Communication Systems and Szemerédi’s and Green-Tao’s Theorems

Explore signal design for communication systems, focusing on orthogonal transmission schemes and their dynamics. Delve into mathematical connections with functional analysis and additive combinatorics.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

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 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

ICTP Mathematics

Color-Position Symmetry in Interacting Particle Systems

Explore color-position symmetry in particle systems, covering probability, partition functions, and stochastic processes. Gain insights into ASEP and simulation techniques.

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

ICTP Mathematics

Stabilization of Nonlinear Systems by Oscillating Controls with Application

Explore nonlinear system stabilization using oscillating controls, with applications in nonholonomic and fluid dynamics. Covers control design, Lie brackets, and energy cascades.

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

ICTP Mathematics

Control Theory and Large Deviation Principles for PDEs

Explore control theory and large deviation principles for PDEs, covering IID cases, contraction principles, rate functions, and applications to random forces and controllability.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

ICTP Mathematics

Black Holes, Binary Systems, and Gravitational Waves - Comparable-Mass Binaries

Explore comparable-mass binary systems, post-Newtonian theory, and relaxed Einstein equations in the context of gravitational waves and black hole physics.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

ICTP Mathematics

Black Holes, Binary Systems, and Gravitational Waves - Kerr Black Hole

Explore Kerr black holes, binary systems, and gravitational waves with expert Nicolas Yunes. Delve into advanced concepts like Killing tensors and zero angular momentum observers in this comprehensive lecture.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Khan Academy

Changing Coordinate Systems to Help Find a Transformation Matrix - Linear Algebra - Khan Academy

Learn to change coordinate systems to find transformation matrices in standard coordinates, enhancing your understanding of linear algebra concepts and their practical applications.

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