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 2025Show all

4 papers · 1 filter

math.PR2025

Sharp bounds on the half-space two-point function for high-dimensional Bernoulli percolation

Romain Panis, Bruno Schapira

We consider Bernoulli percolation on $Z^{d}$ with $d > 6$ . We prove an up-to-constant estimate for the critical two-point function restricted to a half-space. This completes pr…

math.PR2025

One-arm exponents of high-dimensional percolation revisited

Diederik van Engelenburg, Christophe Garban, Romain Panis +1

We consider sufficiently spread-out Bernoulli percolation in dimensions $d > 6$ . We present a short and simple proof of the up-to-constants estimate for the one-arm probability in…

math.PR2025

One-arm exponents of the high-dimensional Ising model

Diederik van Engelenburg, Christophe Garban, Romain Panis +1

We study the probability that the origin is connected to the boundary of the box of size $n$ (the one-arm probability) in several percolation models related to the Ising model. We…

math.PR2025

The supercritical phase of the $φ^{4}$ model is well behaved

Trishen S. Gunaratnam, Christoforos Panagiotis, Romain Panis +1

In this article, we analyse the $φ^{4}$ model on $Z^{d}$ in the supercritical regime $β > β_{c}$ . We consider a random cluster representation of the $φ^{4}$ model, which corresponds…

Sharp bounds on the half-space two-point function for high-dimensional Bernoulli percolation

One-arm exponents of high-dimensional percolation revisited

One-arm exponents of the high-dimensional Ising model

The supercritical phase of the φ4 model is well behaved

The supercritical phase of the $φ^{4}$ model is well behaved