Phase Transitions & Critical Phenomena Courses and Certifications

Kavli Institute for Theoretical Physics

Non-Equilibrium Dynamics in Dipole- and Higher-Moment Conserving Systems - Frank Pollmann

Exploring non-equilibrium dynamics in dipole- and higher-moment conserving systems, focusing on universal behaviors, fractal excitations, and novel phases of matter far from equilibrium.

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

Kavli Institute for Theoretical Physics

An Optical Lattice with Sound - Benjamin Lev

Explore quantum simulators and non-equilibrium many-body physics in optical lattices using sound. Discover novel phases of matter, universality classes, and connections between diverse fields of physics.

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

Applied Algebraic Topology Network

Liquid Crystals Dynamics - What Persistent Homology Reveals

Explore liquid crystal phase transitions through persistent homology, revealing thermodynamic features and structural changes in nanocomposites using advanced data analysis techniques.

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

International Mathematical Union

Kavita Ramanan - Interacting Stochastic Processes on Sparse Random Graphs

Explores hydrodynamic limits and marginal dynamics of interacting stochastic processes on sparse random graphs, contrasting with mean-field limits and discussing applications in various scientific fields.

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

Institute for Pure & Applied Mathematics (IPAM)

Many-Electron Effective Hamiltonians from Similarity Renormalization Group

Explore many-electron effective Hamiltonians using similarity renormalization group, focusing on bond-breaking reactions, spin states, and excited states of molecules with near-degenerate electronic structures.

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

Institute for Pure & Applied Mathematics (IPAM)

Tropical Tensor Networks

Unified tensor network approach for spin glasses using tropical algebra, enabling ground state energy computation, optimal configuration identification, and solution counting. Combines graphical models and quantum circuit simulation.

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

Hausdorff Center for Mathematics

Erik Broman- Higher Dimensional Stick Percolation

Explore higher dimensional stick percolation, its applications in physics and chemistry, and the scaling of critical parameters as stick length increases in arbitrary dimensions.

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

Hausdorff Center for Mathematics

Percolation on Hyperbolic Poisson-Voronoi Tessellations

Explore percolation on hyperbolic Poisson-Voronoi tessellations, resolving conjectures about critical probability behavior and its dependence on Poisson process intensity.

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

IEEE

A Deterministic Algorithm for Counting Colorings with 2Δ Colors

Explore a deterministic algorithm for counting colorings, delving into phase transitions, partition functions, and entropy conditions in graph theory.

• YouTube
• 22 minutes
• Self-Paced
• Conference Talk

Institute for Pure & Applied Mathematics (IPAM)

Quantum Phases in Space-Time - Entanglement & Teleportation on a Quantum Processor

Explore quantum dynamics, phase transitions, and experimental realizations in monitored systems. Discover novel phenomena in entanglement, teleportation, and quantum information reconstruction.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Alan Turing Institute

City Analytics

Explore cutting-edge data science techniques for analyzing urban data streams. Learn about network centrality, social media mapping, and spatio-temporal systems to gain insights into city structures and dynamics.

• YouTube
• 2 hours 10 minutes
• Self-Paced
• Free Video

Paul G. Allen School

Systems & Networks Seminar - Enabling Low-Power Communication for IoT Devices

Explore innovative low-power wireless connectivity for IoT devices using backscatter communication, enabling efficient data transmission by reflecting existing WiFi, Bluetooth, and ZigBee signals.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Swarming Models with Local Alignment Effects

Explores phase transitions in kinetic equations for swarming models, focusing on noise-driven transitions and their applications in mathematical physics and interacting particle systems.

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

BIMSA

2D CFTs and Dual Description of Deformed Integrable Sigma Models

Delve into quantum field theories through screening charges, exploring dual descriptions of 2D sigma models and their integrable deformations with applications to O(N) and OSp(N|2m) theories.

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