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)

accepted for publication in Inventiones mathematicae.

Random interlacements and the Gaussian free field

• PDF file (314KB)

accepted for publication in Ann. Probab.

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

• PDF file (272KB)

To appear in the special volume of Bull. Inst. Math. Acad. Sin. (N.S.), 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, to appear in 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.