PR
Pierre-François Rodriguez
math.PRmath.MPmath-phcond-mat.stat-mech
On Valency
published · living versionsW_8pbwnees·v1 · currentpublished
On the one-arm probability for the metric graph Gaussian free field in high dimensions
with Jialu Shi, Wen Zhang
1 version
Preprints & journals
31 papers in the corpus · 2012–2026Fractal dimension of critical Gaussian free field sign clusters2610.03703v1 · Alexander Drewitz, Alexis Pr'evost, Pierre-Francois Rodriguez2026 · 0 citationsarXiv
Anomalous scaling law for the two-dimensional Gaussian free field2512.10933v2 · Pierre-Francois Rodriguez, Wen Zhang2025 · 0 citationsarXiv
On cable-graph percolation between dimensions 2 and 32512.05947v1 · Pierre-Francois Rodriguez, Wen Zhang2025 · 0 citationsarXiv
Sharp connectivity bounds for the vacant set of random interlacements2504.02777v2 · Subhajit Goswami, Pierre-Francois Rodriguez, Yuriy Shulzhenko2025 · 0 citationsAnnals of Applied Probability 2026, Vol. 36, No. 3, 2721-2751
Strong local uniqueness for the vacant set of random interlacements2503.14497v2 · Subhajit Goswami, Pierre-Francois Rodriguez, Yuriy Shulzhenko2025 · 0 citationsarXiv
Cluster volumes for the Gaussian free field on metric graphs2412.06772v1 · Alexander Drewitz, Alexis Pr'evost, Pierre-Francois Rodriguez2024 · 0 citationsarXiv
Sharp threshold for the ballisticity of the random walk on the exclusion process2409.02096v1 · Guillaume Conchon--Kerjan, Daniel Kious, Pierre-Francois Rodriguez2024 · 0 citationsarXiv
Critical one-arm probability for the metric Gaussian free field in low dimensions2405.17417v1 · Alexander Drewitz, Alexis Pr'evost, Pierre-Francois Rodriguez2024 · 3 citationsarXiv
Universality classes for percolation models with long-range correlations2403.18787v2 · Christopher Chalhoub, Alexander Drewitz, Alexis Pr'evost et al.2024 · 1 citationarXiv
Arm exponent for the Gaussian free field on metric graphs in intermediate dimensions2312.10030v2 · Alexander Drewitz, Alexis Pr'evost, Pierre-Francois Rodriguez2023 · 0 citationsarXiv
Phase transition for the late points of random walk2309.03192v1 · Alexis Pr'evost, Pierre-Francois Rodriguez, Perla Sousi2023 · 0 citationsarXiv
Phase transition for the vacant set of random walk and random interlacements2308.07919v1 · Hugo Duminil-Copin, Subhajit Goswami, Pierre-Francois Rodriguez et al.2023 · 0 citationsarXiv
A characterization of strong percolation via disconnection2308.07920v1 · Hugo Duminil-Copin, Subhajit Goswami, Pierre-Francois Rodriguez et al.2023 · 7 citationsarXiv
Finite range interlacements and couplings2308.07303v1 · Hugo Duminil-Copin, Subhajit Goswami, Pierre-Francois Rodriguez et al.2023 · 1 citationarXiv
A Ray-Knight theorem for interface models and scaling limits2206.14805v2 · Jean-Dominique Deuschel, Pierre-Francois Rodriguez2022 · 2 citationsarXiv
The Discrete Gaussian model, I. Renormalisation group flow at high temperature2202.02286v2 · Roland Bauerschmidt, Jiwoon Park, Pierre-Francois Rodriguez2022 · 3 citationsAnn. Probab., 52, 1253-1359, (2024)
The Discrete Gaussian model, II. Infinite-volume scaling limit at high temperature2202.02287v2 · Roland Bauerschmidt, Jiwoon Park, Pierre-Francois Rodriguez2022 · 4 citationsAnn. Probab., 52, 1360-1398, (2024)
Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension 2108.08008v3 · Hugo Duminil-Copin, Alejandro Rivera, Pierre-Francois Rodriguez et al.2021 · 1 citationarXiv
Cluster capacity functionals and isomorphism theorems for Gaussian free fields2101.05800v2 · Alexander Drewitz, Alexis Pr'evost, Pierre-Francois Rodriguez2021 · 17 citationsProbab. Theor. Rel. Fields 183(1-2): 255-313, 2022
Critical exponents for a percolation model on transient graphs2101.05801v3 · Alexander Drewitz, Alexis Pr'evost, Pierre-Francois Rodriguez2021 · 27 citationsInventiones mathematicae 232, 229-299, 2023
On the radius of Gaussian free field excursion clusters2101.02200v2 · Subhajit Goswami, Pierre-Francois Rodriguez, Franco Severo2021 · 23 citationsAnn. Probab. 50(5): 1675-1724 (September 2022)
Equality of critical parameters for percolation of Gaussian free field level-sets2002.07735v3 · Hugo Duminil-Copin, Subhajit Goswami, Pierre-Francois Rodriguez et al.2020 · 53 citationsDuke Math. J. 172 (2023), no. 5, 839--913
Geometry of Gaussian free field sign clusters and random interlacements1811.05970v3 · Alexander Drewitz, Alexis Pr'evost, Pierre-Francois Rodriguez2018 · 18 citationsProbab. Theory Relat. Fields 192, 625-720 (2025)
On pinned fields, interlacements, and random walk on 1705.01934v1 · Pierre-Francois Rodriguez2017 · 0 citationsarXiv
Limit theory for random walks in degenerate time-dependent random environments1703.02941v2 · Marek Biskup, Pierre-Francois Rodriguez2017 · 29 citationsJ. Funct. Anal. 274 (2018), no. 4, 985--1046
Decoupling inequalities for the Ginzburg-Landau models1612.02385v1 · Pierre-Francois Rodriguez2016 · 1 citationarXiv
On cluster properties of classical ferromagnets in an external magnetic field1512.05707v1 · Jurg Frohlich, Pierre-Francois Rodriguez2015 · 11 citationsJ. Stat. Phys. 166(3-4), 828-840, 2017 (Special issue on the occasion of David Ruelle's and Yakov Sinai's 80'th birthdays)
A 0-1 law for the massive Gaussian free field1505.08169v2 · Pierre-Francois Rodriguez2015 · 15 citationsarXiv
Level set percolation for random interlacements and the Gaussian free field1302.7024v2 · Pierre-Francois Rodriguez2013 · 16 citationsStoch. Proc. Appl. 124(4), 1469-1502 (2014)
Some Applications of the Lee-Yang Theorem1205.6643v1 · Jurg Frohlich, Pierre-Francois Rodriguez2012 · 21 citationsJ. Math. Phys. 53(9), 1-15 (2012)
Phase transition and level-set percolation for the Gaussian free field1202.5172v2 · Pierre-Francois Rodriguez, Alain-Sol Sznitman2012 · 88 citationsCommun. Math. Phys. 320, 571-601 (2013)
Career total: 44 works. 31 are in this corpus.
Profile built from the corpus for this byline.
Author records are still filling in while the Hub is in alpha. If this is your page, you'll be able to claim it soon. Spot a mistake? Tell us.