6 papers · 1 filter
From the planar Ising model to quasiconformal mappings
Rémy Mahfouf
We identify the scaling limit of full-plane Kadanoff-Ceva fermions on generic, non-degenerate -embeddings. In this broad setting, the scaling limits are described in terms of so…
Universality of Ising spin correlations on critical doubly-periodic graphs
Rémy Mahfouf
We establish conformal invariance of Ising spin correlations on critical doubly periodic graphs, showing that their scaling limit coincides with that of the critical square lattice…
The near-critical random bond FK-percolation model
Emile Avérous, Rémy Mahfouf
We study FK-percolation where the edge parameters are chosen as independent random variables in the near-critical regime. We show that if these parameters satisfy a natural centeri…
The near critical random bond ising model via embedding deformation
Remy Mahfouf
Using the formalism of differential equations, we introduce a new method to continuously deform the -embeddings associated with a family of Ising models as their coupling consta…
Crossing estimates for the Ising model on general s-embeddings
Rémy Mahfouf
We prove Russo-Seymour-Welsh type crossing estimates for the FK-Ising model on general s-embeddings whose origami map has an asymptotic Lipschitz constant strictly smaller than …
Conformal invariance in the quantum Ising model
Jhih-Huang Li, Rémy Mahfouf
We introduce Kadanoff-Ceva order-disorder operators in the quantum Ising model. This approach was first used for the classical planar Ising model and recently put back to the stage…