Recent Preprints

Vacant set of random interlacements and percolation

• Postcript file (1595KB)
• PDF file (400KB)

Ann. Math., 171, 2039–2087, 2010.

Random walks on discrete cylinders and random interlacements

• Postcript file (1441KB)
• PDF file (267KB)

Probab. Theory Relat. Fields, 145, 143-174, 2009.

Upper bound on the disconnection time of discrete cylinders and random interlacements

• Postcript file (1654KB)
• PDF file (307KB)

Annals of Probability, 37, 5, 1715-1746, 2009.

with V. Sidoravicius: Percolation for the vacant set of random interlacements

• Postcript file (1675KB)
• PDF file (277KB)

Comm. Pure Appl. Math., 62, 6, 831-858, 2009.

On the domination of random walk on a discrete cylinder by random interlacements

• PDF file (349KB)

Electron. J. Probab., 14, 1670-1704, 2009.

with V. Sidoravicius: Connectivity bounds for the vacant set of random interlacements

• PDF file (208KB)

Ann. Inst. Henri Poincaré, Probabilités et Statistiques, 46, 4, 976-990, 2010.

A lower bound on the critical parameter of interlacement percolation in high dimension

• PDF file (320KB)

Probab. Theory Relat. Fields, 150, 575-611, 2011.

On the critical parameter of interlacement percolation in high dimension

• PDF file (289B)

Ann. Probab., 39, 1, 70-103, 2011.

Decoupling inequalities and interlacement percolation on G x Z

• PDF file (469KB)

Inventiones mathematicae, 187, 3, 645-706, 2012.

Random interlacements and the Gaussian free field

• PDF file (314KB)

Ann. Probab., 40, 6, 2400–2438, 2012.

On (Z/NZ)^2-occupation times, the Gaussian free field, and random interlacements

• PDF file (272KB)

Bull. Inst. Math. Acad. Sin. (N.S.), 7, 4, 565-602, 2012; in honor of the 70th Birthday of Prof. S.R.S. Varadhan.

Topics in occupation times and Gaussian free fields

Notes of the course "Special topics in probability", Spring term 2011, Zurich Lectures in Advanced Mathematics, EMS, Zurich.

• PDF file (792KB)

An isomorphism theorem for random interlacements

• PDF file (144KB)

Electron. Commun. Probab., 17, 9, 1-9, 2012.

with P.-F. Rodriguez: Phase transition and level-set percolation for the Gaussian free field

• PDF file (1.2MB)

Commun. Math. Phys., 320, 571-601, 2013.

On scaling limits and Brownian interlacements

• PDF file (300KB)

To appear in the special issue of the Bulletin of the Brazilian Mathematical Society-IMPA 60 years.

with X. Li: Large deviations for occupation time profiles of random interlacements

• PDF file (360KB)

Preprint.