3 papers
math.PR2025
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…
math.PR2025
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…
math.PR2025
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…