Preprints
DownloadVacant set of random interlacements and percolation (PDF, 393 KB)vertical_align_bottom, Ann. Math., 171, 2039-2087, 2010.
DownloadRandom walks on discrete cylinders and random interlacements (PDF, 275 KB)vertical_align_bottom, Probab. Theory Relat. Fields, 145, 143-174, 2009.
DownloadUpper bound on the disconnection time of discrete cylinders and random interlacements (PDF, 303 KB)vertical_align_bottom, Annals of Probability, 37, 5, 1715-1746, 2009.
with V. Sidoravicius: DownloadPercolation for the vacant set of random interlacements, (PDF, 274 KB)vertical_align_bottom Comm. Pure Appl. Math., 62, 6, 831-858, 2009.
DownloadOn the domination of random walk on a discrete cylinder by random interlacements (PDF, 344 KB)vertical_align_bottom, Electron. J. Probab., 14, 1670-1704, 2009.
with V. Sidoravicius: DownloadConnectivity bounds for the vacant set of random interlacements (PDF, 195 KB)vertical_align_bottom, Ann. Inst. Henri Poincaré, Probabilités et Statistiques, 46, 4, 976-990, 2010.
DownloadA lower bound on the critical parameter of interlacement percolation in high dimension (PDF, 313 KB)vertical_align_bottom, Probab. Theory Relat. Fields, 150, 575-611, 2011.
DownloadOn the critical parameter of interlacement percolation in high dimension (PDF, 286 KB)vertical_align_bottom, Ann. Probab., 39, 1, 70-103, 2011.
DownloadDecoupling inequalities and interlacement percolation on G x Z (PDF, 460 KB)vertical_align_bottom, Inventiones mathematicae, 187, 3, 645-706, 2012.
DownloadRandom interlacements and the Gaussian free field (PDF, 309 KB)vertical_align_bottom, Ann. Probab., 40, 6, 2400-2438, 2012.
DownloadOn (Z/NZ)^2-occupation times, the Gaussian free field, and random interlacements (PDF, 265 KB)vertical_align_bottom, Bull. Inst. Math. Acad. Sin. (N.S.), 7, 4, 565-602, 2012; in honor of the 70th Birthday of Prof. S.R.S. Varadhan.
DownloadTopics in occupation times and Gaussian free fields (PDF, 781 KB)vertical_align_bottom, Notes of the course "Special topics in probability", Spring term 2011, external pageZurich Lectures in Advanced Mathematicscall_made, EMS, Zurich.
DownloadAn isomorphism theorem for random interlacements (PDF, 144 KB)vertical_align_bottom, Electron. Commun. Probab., 17, 9, 1-9, 2012.
with P.-F. Rodriguez: DownloadPhase transition and level-set percolation for the Gaussian free field (PDF, 293 KB)vertical_align_bottom, Commun. Math. Phys., 320, 571-601, 2013.
DownloadOn scaling limits and Brownian interlacements (PDF, 299 KB)vertical_align_bottom, Bull. Braz. Math. Soc., New Series 44(4), 555-592, 2013. Special issue of the Bulletin of the Brazilian Mathematical Society-IMPA 60 years.
with X. Li: A lower bound for disconnection by random interlacements, Electron. J. Probab., 19, 17, 1-26, 2014.
with X. Li: DownloadLarge deviations for occupation time profiles of random interlacements (PDF, 369 KB)vertical_align_bottom, Probab. Theory Relat. Fields, 161, 309-350, 2015.
DownloadDisconnection and level-set percolation for the Gaussian free field (PDF, 381 KB)vertical_align_bottom, J. Math. Soc. Japan, 67, 1801-1843, 2015; special issue on the centennial of the birth of Kiyosi Itô.
DownloadDisconnection, random walks and random interlacements, (PDF, 381 KB)vertical_align_bottom
Probab. Theor. Relat. Fields, 167, 1-2, 1-44, 2016.
DownloadCoupling and an application to level-set percolation of the Gaussian free field, (PDF, 294 KB)vertical_align_bottom Electron. J. Probab., 21, 35, 1-26, 2016.
with A. Abächerli: DownloadLevel-set percolation for the Gaussian free field on a transient tree (PDF, 327 KB)vertical_align_bottom, Annales de l’Institut Henri Poincaré-Probabilités et Statistiques, 54, 1, 173-201, 2018.
with M. Nitzschner: DownloadSolidification of porous interfaces and disconnection (PDF, 617 KB)vertical_align_bottom, J. Eur. Math. Soc., 22, 2629-2672, 2020.
DownloadOn macroscopic holes in some supercritical strongly dependent percolation models (PDF, 434 KB)vertical_align_bottom, Ann. Probab., 47, 4, 2459-2493, 2019.
DownloadOn coupling and "vacant set level set" percolation (PDF, 166 KB)vertical_align_bottom. Electron. J. Probab., 24, 20, 1-12, 2019.
DownloadOn bulk deviations for the local behavior of random interlacements (PDF, 542 KB)vertical_align_bottom. Ann. Scient. Éc. Norm. Sup., série 4, t. 56, 801-858, 2023.
On the C^1-property of the percolation function of random interlacements and a related variational problem. In In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius, M.E. Vares, R. Fernandez, L.R. Fontes, C.M. Newman (eds.), pp. 775--796. Birkhäuser, 2021.
DownloadExcess deviations for points disconnected by random interlacements (PDF, 481 KB)vertical_align_bottom. Probability and Mathematical Physics, 2-3, 563–611, 2021.
DownloadOn the cost of the bubble set for random interlacements (PDF, 451 KB)vertical_align_bottom. Inventiones mathematicae, 233, 2, 903-950, 2023.
DownloadOn the spectral gap in the Kac-Luttinger model and Bose-Einstein condensation (PDF, 398 KB)vertical_align_bottom. Appeared in the special issue "A tribute to Francis Comets" of Stochastic Process. Appl. 166 (2023), 104197.