Author

Romain Panis

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Preprint Oct 2026

Supercritical sharpness for Ising double random currents

We show that the percolation model induced by the double random current representation of the Ising model on $\mathbb Z^d$, with $d\geq 3$, satisfies local uniqueness of the macroscopic cluster with high probability for every $\beta>\beta_c$, uniformly in boundary conditions (i.e. sources). Such a result is sometimes c...

Trishen S. Gunaratnam, C. Panagiotis, Romain Panis et al. · 1 citation

Preprint Aug 2026

Mass scaling of the near-critical Ising model in dimensions $d\geq 4$

We study the Ising model on $\mathbb{Z}^d$ with $d\geq 4$ and derive near-critical bounds on the truncated two-point function $\langle\sigma_0;\sigma_x\rangle_{\beta,h} := \langle\sigma_0\sigma_x\rangle_{\beta,h} - \langle\sigma_0\rangle_{\beta,h}\langle\sigma_x\rangle_{\beta,h}$ at parameters $\beta\leq\beta_c$ and $h...

Romain Panis · 0 citations