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In this paper we establish a decoupling feature of the random interlacement process I^u in Z^d, at level u, for d \geq 3.
Markov random fields
Yu. A. Rozanov · 1982
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Coincidence of critical points in percolation problems
M. V. Men · 1986
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Extreme values, regular variation and point processes
Sidney I. Resnick · 1987
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Intersections of random walks
Gregory F. Lawler · 1991
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A note on transience versus recurrence for a branching random walk in random environment
F. den Hollander, M.V. Menshikov, and S.Yu. Popov · 1999
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Kac’s moment formula and the Feynman-Kac formula for additive functionals of a Markov process
P. J. Fitzsimmons and Jim Pitman · 1999
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Percolation
Geoffrey Grimmett · 1999
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Brownian local minima, random dense countable sets and random equivalence classes
Boris Tsirelson · 2006
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Random walk on a discrete torus and random interlacements
David Windisch · 2008
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Percolation for the vacant set of random interlacements
Vladas Sidoravicius and Alain-Sol Sznitman · 2009
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On the domination of random walk on a discrete cylinder by random interlacements
Alain-Sol Sznitman · 2009
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Random walks on discrete cylinders and random interlacements
Alain-Sol Sznitman · 2009
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Upper bound on the disconnection time of discrete cylinders and random interlacements
Alain-Sol Sznitman · 2009
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Interlacement percolation on transient weighted graphs
A. Teixeira · 2009
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On the uniqueness of the infinite cluster of the vacant set of random interlacements
Augusto Teixeira · 2009
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Random walk: a modern introduction
Gregory F. Lawler and Vlada Limic · 2010
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Connectivity bounds for the vacant set of random interlacements
Vladas Sidoravicius and Alain-Sol Sznitman · 2010
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On the critical parameter of interlacement percolation in high dimension
Alain-Sol Sznitman · 2011
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On the size of a finite vacant cluster of random interlacements with small intensity
Augusto Teixeira · 2011
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On the fragmentation of a torus by random walk
Augusto Teixeira and David Windisch · 2011
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Cover levels and random interlacements
David Belius · 2012
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On the internal distance in the interlacement set
Jiří Černý and Serguei Popov · 2012
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Decoupling inequalities and interlacement percolation on
Alain-Sol Sznitman · 2012
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Vacant set of random interlacements and percolation
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Giant vacant component left by a random walk in a random
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On the transience of random interlacements
Balázs Ráth and Artëm Sapozhnikov · 2011
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Alain-Sol Sznitman · 2012
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Gumbel fluctuations for cover times in the discrete torus
David Belius · 2013
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The effect of small quenched noise on connectivity properties of random interlacements
Balázs Ráth and Artëm Sapozhnikov · 2013
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Local percolative properties of the vacant set of random interlacements with small intensity
Alexander Drewitz, Balázs Ráth, and Artëm Sapozhnikov · 2014
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On range and local time of many-dimensional submartingales
Mikhail Menshikov and Serguei Popov · 2014
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