Systems Core Courses

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Thermodynamics of Non-Additive Systems: The Example of the Thirring Model

Explore thermodynamics of non-additive systems through the Thirring model, examining ensemble inequivalence and equilibrium states in long-range interacting systems.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

New Ideas on Tensor Networks for Entanglement in Quantum Many-Body Systems

Explore new applications of tensor networks in quantum systems, including random networks, material properties, and learning tasks. Gain insights into capturing entanglement and analyzing complex quantum phenomena.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On the Origin of Fat Tailed Distribution Functions in Driven Complex Systems

Explore the origin of fat-tailed distributions in driven complex systems through sample space reducing processes, offering insights into various statistical phenomena and their applications.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Fluctuations in the Fourier Coefficient of Current in Periodically Driven Systems

Explore probability current fluctuations in periodically driven stochastic systems, focusing on Fourier component statistics and cumulant generating function analysis.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Generalized Density Profiles in Single-File Systems

Explore single-file transport and bath-tracer correlations in confined systems, focusing on the Symmetric Exclusion Process and its applications to non-equilibrium situations.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Detecting the Unruh Effect in Thermal Analogue Systems

Explore the Unruh effect in thermal analogue systems, focusing on BECs and superfluid helium. Discover recent proposals and theoretical developments for detecting this quantum phenomenon.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Non-equilibrium Fermi Polarons in Driven-Dissipative Systems

Explore non-equilibrium Fermi polarons in driven-dissipative systems, focusing on kinetic equations, relaxation, and non-equilibrium distributions in two-dimensional materials and ultracold atomic gases.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Casimir-Lifshitz Force in Multilayer Systems - Optical Interference Effect

Explore the Casimir-Lifshitz force in multilayer systems, examining optical interference effects and their impact on material interactions at the nanoscale and in fundamental phenomena.

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

LLMOps Space

Traceability and Observability in Multi-Step LLM Systems - LLMOps

Explore advanced techniques for implementing traceability and observability in multi-step LLM systems, focusing on RAG systems and leveraging OpenTelemetry for deep insights.

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

CdoGEO of Kazan Federal University

Geographic Information Systems (GIS) - Part 2

Изучите основы геоинформационных систем (ГИС) и их применение в геологии и нефтегазовой отрасли. Получите практические навыки работы с ГИС-технологиями.

• YouTube
• 2 hours 6 minutes
• Self-Paced
• Free Video