Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Critical exponents for three-dimensional percolation models with long-range dependence
Speaker: Pierre-Francois Rodriguez, Imperial College London
Date: March 28, 2022
Time: 16:00:00 Hours
Venue: via Zoom
Abstract: The talk will report on recent progress regarding the near-critical behavior of certain statistical mechanics models in dimension three. Our results deal with the phase transition associated with two percolation problems involving the Gaussian free field (GFF) in 3D. In one case, they determine a unique “fixed point” corresponding to the transition, which is proved to obey Fisher’s scaling law. This is one of several relations classically conjectured by physicists to hold on the grounds of a corresponding scaling ansatz.
Title of Talk: Critical exponents for three-dimensional percolation models with long-range dependence
Speaker: Pierre-Francois Rodriguez, Imperial College London
Date: March 28, 2022
Time: 16:00:00 Hours
Venue: via Zoom
Abstract: The talk will report on recent progress regarding the near-critical behavior of certain statistical mechanics models in dimension three. Our results deal with the phase transition associated with two percolation problems involving the Gaussian free field (GFF) in 3D. In one case, they determine a unique “fixed point” corresponding to the transition, which is proved to obey Fisher’s scaling law. This is one of several relations classically conjectured by physicists to hold on the grounds of a corresponding scaling ansatz.