Romain Panis

activity

20222026

most citedTriviality of the scaling limits of critical Ising and

φ^{4}

models with effective dimension at least four

1 citations · 2 across the 18 of their papers we have counts for

collaborators

Showing 2026 · math.PRShow all

4 papers · 2 filters

math.PR2026

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

Romain Panis

We study the Ising model on $Z^{d}$ with $d \geq 4$ and derive near-critical bounds on the truncated two-point function $\langleσ_0;σ_x\rangle_{β,h} := \langleσ_0σ_x\rangle_{…

math.PR2026

Supercritical sharpness for the random cluster representation of real-valued spin models

Trishen S. Gunaratnam, Dmitry Krachun, Christoforos Panagiotis +2

We study the supercritical regime $β > β_{c}$ of a large family of real-valued spin models on $Z^{d}$ , including the Blume-Capel and $P (φ)$ models. We consider their random clust…

math.PR2026

On reversing the Simon-Lieb inequality in high-dimensional percolation

Romain Panis, Bruno Schapira

We study Bernoulli percolation on $Z^{d}$ in dimensions $d > 6$ . We prove that a classical consequence of the van den Berg-Kesten inequality, often referred to as the Simon-L…

math.PR2026

A random walk approach to high-dimensional critical phenomena

Hugo Duminil-Copin, Aman Markar, Romain Panis +1

We present a "black box" proof of mean-field near-critical behaviour for a family of functions on $Z^{d}$ ( $d > 2$ ) satisfying a short list of assumptions. The functions repr…

Mass scaling of the near-critical Ising model in dimensions d≥4

Supercritical sharpness for the random cluster representation of real-valued spin models

On reversing the Simon-Lieb inequality in high-dimensional percolation

A random walk approach to high-dimensional critical phenomena

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