Showing 2026 · math.PRShow all
2 papers · 2 filters
math.PR2026
Uniform analyticity of local observables in FK-percolation and analyticity of the Ising spontaneous magnetisation
Lucas D'Alimonte, Loïc Gassmann
We prove that, in the FK-percolation model, the probabilities of local events are uniformly analytic in the percolation parameter under suitable mixing assumptions on the measu…
math.PR2026
Free energy analyticity of the disordered XY model and Debye screening in the 2D Coulomb gas
Lucas D'Alimonte, Piet Lammers
We consider three models of statistical mechanics: the classical XY model in arbitrary dimension, the lattice Coulomb gas in dimension two, and the square well model in arbitrary d…