Preprints

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

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

Download Upper 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: Download Percolation for the vacant set of random interlacements, (PDF, 274 KB) Comm. Pure Appl. Math., 62, 6, 831-858, 2009.

Download On 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: Download Connectivity bounds for the vacant set of random interlacements (PDF, 195 KB), Ann. Inst. Henri Poincaré, Probabilités et Statistiques, 46, 4, 976-990, 2010.

Download A lower bound on the critical parameter of interlacement percolation in high dimension (PDF, 313 KB), Probab. Theory Relat. Fields, 150, 575-611, 2011.

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

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

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

Download On (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.

Download Topics in occupation times and Gaussian free fields (PDF, 781 KB), Notes of the course "Special topics in probability", Spring term 2011, external page Zurich Lectures in Advanced Mathematics, EMS, Zurich.

Download An isomorphism theorem for random interlacements (PDF, 144 KB), Electron. Commun. Probab., 17, 9, 1-9, 2012.

with P.-F. Rodriguez: Download Phase transition and level-set percolation for the Gaussian free field (PDF, 293 KB), Commun. Math. Phys., 320, 571-601, 2013.

Download On 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: Download Large deviations for occupation time profiles of random interlacements (PDF, 369 KB), Probab. Theory Relat. Fields, 161, 309-350, 2015.

Download Disconnection 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.

Download Disconnection, random walks and random interlacements, (PDF, 381 KB)
Probab. Theor. Relat. Fields, 167, 1-2, 1-44, 2016.

Download Coupling 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: Download Level-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: Download Solidification of porous interfaces and disconnection (PDF, 617 KB), J. Eur. Math. Soc., 22, 2629-2672, 2020.

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

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

Download On 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.

Download Excess deviations for points disconnected by random interlacements (PDF, 481 KB). Probability and Mathematical Physics, 2-3, 563–611, 2021.

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

Download On 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.