Critical Phenomena Through the Lens of the Ising Model
Explore critical phenomena in the Ising model, from its origins in ferromagnetism to recent breakthroughs in three and four dimensions using probabilistic interpretations and percolation models.
Probability, Conformal Invariance, and Critical Phenomena in Statistical Physics
Explore conformal invariance and critical phenomena in statistical physics, focusing on probabilistic approaches and their applications to complex systems.
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.
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.
Critical Behaviour in Hierarchical Percolation - Statistical Mechanics Models
Explore critical behavior in hierarchical percolation, examining phase transitions, fractal-like patterns, and critical exponents across dimensions.
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.
Invasion Percolation - Part II
Explore advanced concepts of invasion percolation, building on fundamental principles to deepen understanding of fluid flow in porous media.
Percolation Theory
Explore percolation theory, its applications, and fundamental concepts in complex systems and network analysis.
Invasion Percolation - Part I
Explore invasion percolation concepts and applications in porous media flow modeling, focusing on fundamental principles and computational techniques.
Uniqueness and Non-Uniqueness for Percolation on Groups
Explore percolation theory on groups, examining uniqueness and non-uniqueness of infinite clusters and their connections to group-theoretic concepts.
2D Percolation Revisited
Explore 2D percolation theory with Fields Medalist Stanislav Smirnov in this IMPA 70th anniversary conference talk. Gain insights into advanced mathematical concepts and recent developments in the field.
Flatbands: Construction and Effects of Perturbations
Explore flatbands in tight-binding systems, their construction, and effects of disorder and interactions. Discover unconventional phases, metal-insulator transitions, and ergodicity breaking phenomena.
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.
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.