Preprints

DownloadVacant set of random interlacements and percolation (PDF, 393 KB), Ann. Math., 171, 2039-2087, 2010.

DownloadRandom walks on discrete cylinders and random interlacements (PDF, 275 KB), Probab. Theory Relat. Fields, 145, 143-174, 2009.

DownloadUpper bound on the disconnection time of discrete cylinders and random interlacements (PDF, 303 KB), Annals of Probability, 37, 5, 1715-1746, 2009.

with V. Sidoravicius: DownloadPercolation for the vacant set of random interlacements, (PDF, 274 KB) 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), Electron. J. Probab., 14, 1670-1704, 2009.

with V. Sidoravicius: DownloadConnectivity bounds for the vacant set of random interlacements (PDF, 195 KB), 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), Probab. Theory Relat. Fields, 150, 575-611, 2011.

DownloadOn the critical parameter of interlacement percolation in high dimension (PDF, 286 KB), Ann. Probab., 39, 1, 70-103, 2011.

DownloadDecoupling inequalities and interlacement percolation on G x Z (PDF, 460 KB), Inventiones mathematicae, 187, 3, 645-706, 2012.

DownloadRandom interlacements and the Gaussian free field (PDF, 309 KB), Ann. Probab., 40, 6, 2400-2438, 2012.

DownloadOn (Z/NZ)^2-occupation times, the Gaussian free field, and random interlacements (PDF, 265 KB), 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), Notes of the course "Special topics in probability", Spring term 2011, external pageZurich Lectures in Advanced Mathematics, EMS, Zurich.

DownloadAn isomorphism theorem for random interlacements (PDF, 144 KB), 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), Commun. Math. Phys., 320, 571-601, 2013.

DownloadOn scaling limits and Brownian interlacements (PDF, 299 KB), 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), Probab. Theory Relat. Fields, 161, 309-350, 2015.

DownloadDisconnection and level-set percolation for the Gaussian free field (PDF, 381 KB), 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)
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) 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), 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), J. Eur. Math. Soc., 22, 2629-2672, 2020.

DownloadOn macroscopic holes in some supercritical strongly dependent percolation models (PDF, 434 KB), Ann. Probab., 47, 4, 2459-2493, 2019.

DownloadOn coupling and "vacant set level set" percolation (PDF, 166 KB). Electron. J. Probab., 24, 20, 1-12, 2019.

DownloadOn bulk deviations for the local behavior of random interlacements (PDF, 542 KB). 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). Probability and Mathematical Physics, 2-3, 563–611, 2021.

DownloadOn the cost of the bubble set for random interlacements (PDF, 451 KB). Inventiones mathematicae, 233, 2, 903-950, 2023.

DownloadOn the spectral gap in the Kac-Luttinger model and Bose-Einstein condensation (PDF, 398 KB). Appeared in the special issue "A tribute to Francis Comets" of Stochastic Process. Appl. 166 (2023), 104197.