Control Systems Courses

PCS Institute for Basic Science

Fractional Conductances in Strongly Interacting 1D Systems

Explore fractional conductances in strongly interacting 1D systems with N channels. Analyze conditions for perturbation coexistence, gap opening, and conductance calculations in complex quantum systems.

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

PCS Institute for Basic Science

Persistent Homology Analysis of Phase Transitions in Quantum Systems

Explore persistent homology for analyzing phase transitions in complex physical systems. Learn how this topological machine learning method extracts meaningful information from sparse data in condensed matter physics.

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

PCS Institute for Basic Science

Localization Phenomena in Interacting Flatland Systems

Explore localization phenomena in flatband networks, examining compact localized eigenstates and the impact of perturbations. Discover finetuning protocols for diverse localization features in classical and quantum systems.

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

PCS Institute for Basic Science

Flatbands: Construction and Perturbation in Translationally Invariant Systems

Explore flatbands in translationally invariant systems, their construction methods, and response to perturbations. Gain insights into nonergodic phases and unconventional states of matter.

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

PCS Institute for Basic Science

Identifying Decisions in Biological Systems: Toward Understanding and Control

Explore network science and dynamic modeling to understand biological systems' emergent properties. Learn about stable motifs and their role in decision-making and attractor control for potential therapeutic strategies.

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

PCS Institute for Basic Science

Do Quantum Systems Thermalize? - Understanding Quantum Thermalization and the Eigenstate Thermalization Hypothesis

Explore quantum thermalization, examining recent advances in understanding isolated quantum systems and their relaxation to thermal equilibrium states.

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

PCS Institute for Basic Science

Bistability and Chaos-Assisted Tunneling in Dissipative Quantum Systems

Explore quantum bistability and chaos-assisted tunneling in dissipative systems, focusing on analytical estimates for quantum limit cycles and novel tunneling phenomena.

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

PCS Institute for Basic Science

Climate Meets Complex Systems: Exploring Predictability of Extreme Climate Events via Complex Networks

Explore complex network approaches for analyzing and predicting extreme climate events. Uncover underlying structures in climate systems to improve forecasting of phenomena like monsoons and tropical cyclones.

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

PCS Institute for Basic Science

Finding the Equations and Structures of Complex Systems from Data

Discover techniques for uncovering equations and structures of complex systems using data. Learn about sparse optimization, network inference, and data-driven prediction frameworks.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 3

Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 1

Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 2

Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

MaZe: A New Approach for Simulating Adiabatic Systems - Lecture

Explore MaZe, a novel approach for simulating adiabatic systems in physics. Learn about its applications in first principles simulations, polarizable systems, and ionic transport studies.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Semi-Discrete Modeling of Systems of Disclinations and Dislocations in Crystalline Materials

Explore disclinations in crystalline materials, their modeling, and the relationship between disclination dipoles and edge dislocations through variational methods and energy minimization.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On the Class of Canonical Systems Corresponding to Matrix String Equations

Explore canonical systems with 2p×2p Hamiltonians, solving direct and inverse problems using Titchmarsh-Weyl functions and S-nodes. Learn construction procedures and high energy asymptotics of Weyl functions.

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