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PUBLICATIONS OF ARTEM SAPOZHNIKOV

RECENT
Artem Sapozhnikov and Daisuke Shiraishi. On Brownian motion, simple paths, and loops.
Preprint.
Deepan Basu and Artem Sapozhnikov. Crossing probabilities for critical Bernoulli percolation on slabs.
To appear in Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques.
2017
Artem Sapozhnikov. Random walks on infinite percolation clusters in models with long-range correlations.
Annals of Probability, 45(3), 1842-1898.
Deepan Basu and Artem Sapozhnikov. Kesten's incipient infinite cluster and quasi-multiplicativity of crossing probabilities.
Electronic Communications in Probability, 22, Paper 26, 12 pages.
2016
Eviatar Procaccia, Ron Rosenthal and Artem Sapozhnikov. Quenched invariance principle for simple random walk on clusters in correlated percolation models.
Probability Theory and Related Fields, 166(3), pp 619-657.
Yinshan Chang and Artem Sapozhnikov. Phase transition in loop percolation.
Probability Theory and Related Fields, 164(3), 979-1025.
Jiří Černý and Artem Sapozhnikov. Mixing time for the random walk on the range of the random walk on tori.
Electronic Communications in Probability, 21, Paper 26, 10 pages.
2014
Alexander Drewitz, Balazs Rath and Artem Sapozhnikov. Local percolative properties of the vacant set of random interlacements with small intensity.
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 50(4), 1165-1197.
Alexander Drewitz, Balazs Rath and Artem Sapozhnikov. On chemical distances and shape theorems in percolation models with long-range correlations.
Journal of Mathematical Physics, 55(8).
Alexander Drewitz, Balazs Rath and Artem Sapozhnikov. An introduction to random interlacements.
SpringerBriefs in Mathematics. (Preliminary version of the book is available here.)
Remco van der Hofstad and Artem Sapozhnikov. Cycle structure of percolation on high-dimensional tori.
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 50(3), 999-1027.
2013
Balazs Rath and Artem Sapozhnikov. The effect of small quenched noise on connectivity properties of random interlacements.
Electronic Journal of Probability, 18, article 4, 1-20.
2012
Michael Damron and Artem Sapozhnikov. Limit theorems for 2D invasion percolation.
Annals of Probability, 40, 893-920.
Balazs Rath and Artem Sapozhnikov. Connectivity properties of random interlacement and intersection of random walks.
ALEA Latin American Journal of Probability and Mathematical Statistics, 9, 67-83.
2011
Artem Sapozhnikov. The incipient infinite cluster does not stochastically dominate the invasion percolation cluster in two dimensions.
Electronic Communications in Probability, 16, 775-780.
Balazs Rath and Artem Sapozhnikov. On the transience of random interlacements.
Electronic Communications in Probability, 16, 379-391.
Michael Damron and Artem Sapozhnikov. Outlets of 2D invasion percolation and multiple-armed incipient infinite clusters.
Probability Theory and Related Fields, 150(1-2), 257-294.
2010
Artem Sapozhnikov. Upper bound on the expected size of the intrinsic ball.
Electronic Communications in Probability, 15, 297-298.
2009
Michael Damron, Artem Sapozhnikov and Balint Vágvölgyi. Relations between invasion percolation and critical percolation in two dimensions.
Annals of Probability, 37(6), 2297-2331.
2008
Bernardo N.B. de Lima and Artem Sapozhnikov. On the truncated long-range percolation on Z2.
Journal of Applied Probability, 45(1), 287-291.
Ken R. Duffy, Neil O'Connell and Artem Sapozhnikov. Complexity analysis of a decentralised graph colouring algorithm.
Information Processing Letters, 107(2), 60-63.
Ken R. Duffy and Artem Sapozhnikov. The large deviation principle for the on-off Weibull sojourn process.
Journal of Applied Probability, 45(1), 107-117.
Marc van Dongen, Ton Dieker and Artem Sapozhnikov. The expected value and the variance of the checks required by revision algorithms.
Constraint Programming Letters, 2, 55-77.
Artem Sapozhnikov. Convergence rates in the local renewal theorem.
Statistics and Probability Letters, 78(14), 2230-2233.
2007
Artem Sapozhnikov. Existence of phase transition for heavy-tailed continuum percolation.
Markov Processes and Related Fields, 13(3), 575-586.
2006
Denis Denisov and Artem Sapozhnikov. On the distribution of the number of customers in the symmetric M/G/1 queue.
Queueing Systems: Theory and Applications, 54(4), 237-241.
Serguei Foss and Artem Sapozhnikov. Convergence rates in monotone separable stochastic networks.
Queueing Systems: Theory and Applications, 52(2), 125-137.
2004
Serguei Foss and Artem Sapozhnikov. On the existence of moments for the busy period in a single-server queue.
Mathematics of Operations Research, 29(3), 592-601.

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