Phase Transitions & Critical Phenomena Courses and Certifications

International Centre for Theoretical Sciences

Critical Phenomena in φ4 and Blume-Capel

Explore critical phenomena in φ4 and Blume-Capel models using percolation theory, extending techniques from Ising model analysis to understand phase transitions in these generalized lattice spin systems.

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

PCS Institute for Basic Science

Universal Microscopic Mechanism of Hybrid Percolation Transitions

Explore universal mechanisms of hybrid percolation transitions through cluster merging models, uncovering critical behaviors and scaling relations in complex network dynamics.

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

PCS Institute for Basic Science

Critical Site Percolation on the Triangular Lattice

Explore critical site percolation on triangular lattices, delving into mathematical concepts and applications in statistical mechanics and probability theory.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

CdoGEO of Kazan Federal University

Invasion Percolation - Part I

Explore invasion percolation concepts and applications in porous media flow modeling, focusing on fundamental principles and computational techniques.

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

CdoGEO of Kazan Federal University

Percolation Theory

Explore percolation theory, its applications, and fundamental concepts in complex systems and network analysis.

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

CdoGEO of Kazan Federal University

Invasion Percolation - Part II

Explore advanced concepts of invasion percolation, building on fundamental principles to deepen understanding of fluid flow in porous media.

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

Fields Institute

Phase Transition for the Smallest Eigenvalue of Covariance Matrices

Explore phase transitions in covariance matrices' smallest eigenvalues, examining mathematical concepts and applications in statistical analysis and data science.

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

BIMSA

A Renormalisation Group Perspective on Functional Inequalities - ICBS 2024

Explore multiscale analysis for decomposing high-dimensional measures, deriving functional inequalities using renormalization group methods in statistical physics.

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

BIMSA

Critical Phenomena from the Perspective of Fuzzy Sphere Regularization - ICBS 2024

Explore critical phenomena and phase transitions using fuzzy sphere regularization, focusing on 3D Ising model and conformal field theory applications.

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

Centre de recherches mathématiques - CRM

Universality and Conformal Invariance in Critical Percolation Models

Explore critical percolation models' universal behavior and conformal invariance through Yang-Baxter integrable systems and Virasoro algebra representations. Gain insights into partition functions on cylinders and tori.

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

International Centre for Theoretical Sciences

Last Passage Percolation in a Strip - Integrable Probability and Growth Models

Explore the mathematical theory of Last Passage Percolation in a strip, examining integrable systems, discrete models, and their applications to statistical physics and probability theory.

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

International Centre for Theoretical Sciences

Bond Percolation Games and Their Connections with Probabilistic Cellular Automata

Explore the fascinating intersection of bond percolation games and probabilistic cellular automata, examining their mathematical relationships and theoretical applications in discrete systems.

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

INI Seminar Room 2

Directed Percolation and Critical Phenomena in Reaction-Diffusion Systems - Lecture 2

Delve into directed percolation theory, exploring critical phenomena, universality classes, and stochastic PDEs through advanced mathematical concepts and their applications in turbulence modeling.

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

INI Seminar Room 2

Directed Percolation and Critical Phenomena in Reaction-Diffusion Systems - Lecture 1

Delve into directed percolation theory, critical phenomena, and universality classes with focus on reaction-diffusion models, absorbing states, and applications to turbulence onset through stochastic PDEs.

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

BIMSA

Multiloop Renormalization Group - History, Recent Advances and Perspectives

Explore the evolution and cutting-edge developments in multiloop renormalization group theory with expert insights from Konstantin G. Chetyrkin at ICBS2025.

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