| Research |
| I am interested in probability and its applications. I have been recently working on critical and near critical percolation, invasion percolation, random interlacements. I am currently a postdoc with Prof. Alain-Sol Sznitman. My research is supported by the ERC project RWPERCRI: Random Walks, Percolation and Random Interlacements. |
| Workshop announcement |
| If you are curious about mathematical aspects of two-dimensional statistical mechanics, check out the next Young European Probabilists workshop on "Two-dimensional statistical mechanics", taking place at Eurandom, Eindhoven, from 27 February - 2 March, 2012. |
| Teaching |
| In Spring semester 2012, I am teaching a graduate course "Special topics in probability: Random interlacements" together with Alex Drewitz and Balazs Rath. |
| Publications |
| 2012 |
|
Balazs Rath and Artem Sapozhnikov.
The effect of small quenched noise on connectivity properties of random interlacements.
Submitted. |
|
Remco van der Hofstad and Artem Sapozhnikov.
Cycle structure of percolation on high-dimensional tori.
Submitted. |
|
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. |