[15] L. Coquille, P. Dario and A. Le Ny. Quantitative delocalisation for the Gaussian and q-SOS long-range chains. arXiv.
[14] P. Dario. Hydrodynamic limit for a class of degenerate convex grad-phi interface models. arXiv.
[13] P. Dario and C. Garban. Phase transitions for the XY model in non-uniformly elliptic and Poisson-Voronoi environments. Comm. Math. Phys. 406, 101 (2025) arXiv | journal.
[12] A. Bou-Rabee, W. Cooperman and P. Dario. Rigidity of harmonic functions on the supercritical percolation cluster. Trans. Amer. Math. Soc. in press arXiv.
[11] P. Dario. Upper bounds on the fluctuations of a class of degenerate convex grad-phi interface models. ALEA, Lat. Am. J. Probab. Math. Stat. 21, 385–430 (2024). arXiv | journal.
[10] S. Armstrong and P. Dario. Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models. Electron. J. Probab. 29 (2024), paper no. 9, 93 pp. arXiv | journal.
[9] P. Dario. Convergence to the thermodynamic limit for random-field random surfaces. Ann. Appl. Probab. 33 (2023), 1173-1195. arXiv | journal.
[8] P. Dario, M. Harel and R. Peled. Random-field random surfaces. Prob. Theory Related Fields, (2023): 1-68. arXiv | journal.
[7] P. Dario, M. Harel and R. Peled. Quantitative disorder effects in low-dimensional spin systems. Comm. Math. Phys. 405, 212 (2024) arXiv | journal.
[6] P. Dario and W. Wu. Massless Phases for the Villain model in d>=3. Astérisque 447 (2024) arXiv | short version | journal.
[5] P. Dario and C. Gu. Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters. Ann. Probab., 49 (2021), 556-636. arXiv | journal.
[4] P. Dario. Quantitative homogenization of the disordered grad phi model. Electron. J. Probab. 24 (2019), paper no. 90, 99 pp. arXiv | journal.
[3] P. Dario. Quantitative homogenization of differential forms. Ann. Inst. Henri Poincaré Probab. Stat. 57(2): 1157-1202. arXiv | journal.
[2] P. Dario. Optimal corrector estimates on percolation clusters. Ann. Appl. Probab. 31 (2021), 377-431. arXiv | journal.
[1] S. Armstrong and P. Dario. Elliptic regularity and quantitative homogenization on percolation clusters. Comm. Pure Appl. Math., 71 (2018), 1717-1849. arXiv | journal.
The manuscript of my Ph.D thesis can be found here.
The manuscript of my HDR can be found here.