Systems Core Courses

Institute for Pure & Applied Mathematics (IPAM)

Computational Challenges with Modeling Core Collapse Supernovae - IPAM at UCLA

Explore computational challenges in modeling core collapse supernovae and gravitational wave emission, covering recent progress, physics requirements, and future directions in multi-dimensional simulations.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Quantum Field Theory of Exotic Systems - IPAM at UCLA

Explore quantum field theory of exotic systems, focusing on fracton phases and their challenges to conventional understanding. Delve into subsystem symmetries, tensor gauge theories, and peculiar UV/IR mixing phenomena.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Fields Institute

Residual Dynamic Mode Decomposition- Rigorous Data-Driven Computation of Spectral Properties of Koopman Operators for Dynamical Systems

Explore rigorous data-driven methods for computing spectral properties of Koopman operators in dynamical systems, focusing on Residual Dynamic Mode Decomposition and its applications.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Fields Institute

Data-Driven Discovery of Linear Dynamical Systems Over Graphs via Dynamical Sampling

Explore linear dynamical systems on graphs through data-driven discovery, focusing on efficient recovery of missing information and optimal sampling strategies for graph signal processing.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Spin Glasses and Related Systems - Lecture 1

Comprehensive introduction to spin glasses, covering experimental results, frustration, models, and analysis methods. Explores complex magnetic systems and their unique properties.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Ergodicity Breaking in Quantum Many-Body Systems

Explore ergodicity breaking in quantum systems, focusing on many-body localization and measurement-induced transitions. Gain insights into non-ergodic behavior and entanglement dynamics.

• YouTube
• 2 hours
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Active Processes in Cells and Tissues - Phase Separation in Active Systems - Lecture 2

Explore phase separation in active cellular systems, focusing on droplet physics, centrosome dynamics, and RNA-protein assemblies. Learn how these processes drive cellular organization and morphogenesis.

• YouTube
• 1 hour 46 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Dynamical Systems Biology of Cancer Metastasis by Mohit Kumar Jolly

Explore cancer metastasis through systems biology, focusing on EMT/MET processes, hybrid cell states, and their clinical implications. Gain insights into cellular plasticity and tumor progression mechanisms.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Phase Transitions in Hard-Core Systems - Lecture 1

Explore phase transitions in hard-core systems, from basic concepts to advanced topics like fluid-solid transitions in hard spheres and phase changes in long rods. Includes theoretical foundations and computational approaches.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Where Does the Statistics of Complex Systems Come From?

Explore the origins of complex systems statistics through sample space reducing processes, Zipf's law, and network diffusion. Gain insights into driven non-equilibrium systems and their statistical properties.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Forced Integrable Systems - The Case of Sine-Gordon Equation by Vasudeva Murthy

Explore forced integrable systems, focusing on the sine-Gordon equation. Examine its applications in tectonic stress transfer and crack dynamics, with insights on boundary conditions and numerical methods.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Finite-Size Effects in Integrable Systems - Lecture 3

Explore finite-size effects, revivals, and conservation laws in integrable systems. Gain insights into macro states, thermodynamic entropy, and the string hypothesis for interacting models.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Introduction to Dynamical Systems - Lecture 2

Explore non-smooth dynamical systems, bifurcations, and complex networks. Learn about border collision, switched systems, and applications in engineering and natural phenomena.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Introduction to Dynamical Systems - Lecture 1

Explore dynamical systems, from linear ODEs to nonlinear chaos. Learn about equilibrium points, eigenvalues, attractors, and bifurcations. Gain insights into Lorenz systems, Poincaré maps, and iterative methods.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Soft and Biological Matter - Introduction to States and Structures in Living Systems - Lecture 1

Explore the intersection of biology and physics, covering topics from molecular evolution to ecology. Learn about physical constraints, evolutionary outcomes, and mathematical models in living systems.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video