Lectures related to Untitled | EPFL Graph Search

Percolation Theory

Covers percolation theory, absorbed polymers, giant molecules, phase transition, scaling assumptions, and universal behavior in percolation models.

FK-Percolation and the Six-Vertex Model: Critical Phenomena

Covers the transition from the six-vertex model to FK-percolation, focusing on critical phenomena and phase transitions in two-dimensional systems.

Conformal Loop Ensembles: Connections to CFT

Explores the relationship between conformal loop ensembles and conformal field theory, focusing on the three-point nesting function and its mathematical derivation.

Renormalization & Scaling

Explores renormalization, scaling, critical points, exponents, and phase transitions in conformal field theory and quantum gravity.

Turbulent State Symmetries

Explores broken and emerging symmetries in turbulent states, discussing energy cascades, lack of scale invariance, and potential conformal invariance.

Universality and Rotational Invariance in Isoradial Graphs

Covers universality and rotational invariance in isoradial graphs and their implications in statistical mechanics.

Percolation: Bond Percolation

Covers bond percolation on a square lattice, discussing percolation phases, critical threshold, mean cluster size, and critical point scenarios.

Renormalization Group in Field Theory

Explores the Renormalization Group in field theory, discussing scaling functions, critical exponents, and Gaussian fixed points.

Phase Transitions: Percolation in 2D Networks

Explores phase transitions through percolation in 2D networks.

Percolation: Random Graph Models

Covers percolation theory and random graph models, exploring connectivity thresholds and critical power for wireless networks.

Easing Model Conformal Theory: Scaling Limits and Correlations

Covers the Easing model conformal theory, focusing on scaling limits and correlation functions.

Percolation Theory: FKG Inequality

Explores the FKG inequality in percolation theory and the reverse FKG theorem.

Quantum Length of SLE: Natural Parameterization and Properties

Covers the quantum length of SLE and its natural parameterization, exploring key properties and relationships with random planar maps.

Epidemics and Bootstrap Percolation in Square Lattice

Explores epidemics spread models and Bootstrap Percolation in square lattice networks, focusing on the Kolmogorov equation and probability generating functions.

Statistical Models: Unitary Conformal Field Theories

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Critical Exponents from RG

Covers CFT, gravity, phase transitions, critical exponents, and RG formalism.

Local Fields and Correlations in Ising Models

Covers local fields and correlations in Ising models and conformal field theory.

GFF Convergence and Six Vertex Models: Phase Transitions

Covers GFF convergence and the six vertex model's phase transitions.

Currents in the O(n) Model: Conformal Field Theory Insights

Covers the O(n) model on the hexagonal lattice and its currents.

Understanding Chaos in Quantum Field Theories

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.