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Recent Preprints


Vacant set of random interlacements and percolation

Ann. Math., 171, 2039–2087, 2010.


Random walks on discrete cylinders and random interlacements

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


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

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


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

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


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

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


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

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

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


On the critical parameter of interlacement percolation in high dimension

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


Decoupling inequalities and interlacement percolation on G x Z

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


Random interlacements and the Gaussian free field

Ann. Probab., 40, 6, 2400–2438, 2012.


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

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.


An isomorphism theorem for random interlacements

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


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

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


On scaling limits and Brownian interlacements

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: Large deviations for occupation time profiles of random interlacements

to appear in Probab. Theory Relat. Fields.


with X. Li: A lower bound for disconnection by random interlacements

Electron. J. Probab., 19, 17, 1–26, 2014.


Disconnection and level-set percolation for the Gaussian free field

Preprint.

 

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