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 2023Show all

4 papers · 1 filter

math.PR2023

Exact cube-root fluctuations in an area-constrained random walk model

Lucas D'Alimonte, Romain Panis

This article is devoted to the study of the behaviour of a (1+1)-dimensional model of random walk conditioned to enclose an area of order $N^{2}$ . Such a conditioning enforces a glob…

math.PR2023

Scaling limit of the cluster size distribution for the random current measure on the complete graph

Dmitrii Krachun, Christoforos Panagiotis, Romain Panis

We study the percolation configuration arising from the random current representation of the near-critical Ising model on the complete graph. We compute the scaling limit of the cl…

math.PR2023★ 1 cited

Triviality of the scaling limits of critical Ising and $φ^{4}$ models with effective dimension at least four

Romain Panis

We prove that any scaling limit of a critical reflection positive Ising or $φ^{4}$ model of effective dimension $d_{eff}$ at least four is Gaussian. This extends the recent br…

math.PR2023

Emergence of fractional Gaussian free field correlations in subcritical long-range Ising models

Trishen S. Gunaratnam, Romain Panis

We study corrections to the scaling limit of subcritical long-range Ising models with (super)-summable interactions on $Z^{d}$ . For a wide class of models, the scaling limit…

Exact cube-root fluctuations in an area-constrained random walk model

Scaling limit of the cluster size distribution for the random current measure on the complete graph

Triviality of the scaling limits of critical Ising and φ4 models with effective dimension at least four

Emergence of fractional Gaussian free field correlations in subcritical long-range Ising models

Triviality of the scaling limits of critical Ising and $φ^{4}$ models with effective dimension at least four