Nathan de Montgolfier

collaborators

2 papers

math.AP2026

Regularity theory for lattice based harmonic maps and low temperature Gibbs measures of the spin- $O (N)$ model

Christophe Garban, Nathan de Montgolfier

The purpose of this note is twofold. First, we revisit the classical regularity theory of harmonic maps in the setting of maps defined on a lattice $Z^{d}$ instead of $\math…

math.PR2026

Small perturbations of the $2 d$ classical Heisenberg model

Christophe Garban, Nathan de Montgolfier

Polyakov predicted in 1975 ([Pol75) that the spin $O (3)$ -model (or classical Heisenberg model) should have exponential decay of correlations at all positive temperatures on $\mathb…

Regularity theory for lattice based harmonic maps and low temperature Gibbs measures of the spin-O(N) model

Small perturbations of the 2d classical Heisenberg model

Regularity theory for lattice based harmonic maps and low temperature Gibbs measures of the spin- $O (N)$ model

Small perturbations of the $2 d$ classical Heisenberg model