Current working papers*
Polya urn with patterned reinforcement.
Vertex-reinforced random walk with sublinear weights on the integers.
Vertex-reinforced random walk with superlinear weights on a graph with bounded degree.
Non-homogeneous random processes on trees with polynomial growth.
Papers
[12] Finding pure Nash equilibria in large random games (with Andrea Collevecchio and Ziwen Zhong). Under review. arXiv:2406.09732
[11] Strongly vertex-reinforced jump process on a graph with bounded degree (with Andrea Collevecchio). Under review. arXiv:2401.04366
[10] Vertex-reinforced jump process on the integers with nonlinear reinforcement (with Andrea Collevecchio, Stanislav Volkov). Annals of Applied Probability. Volume 32, (2022), Issue 4, p. 2671-2705. arXiv:2004.05927
[9] Speed of excited random walks with long backward steps. Journal of Statistical Physics. Volume 188 (2022), Issue 1, Article no. 3. arXiv:2103.10610
[8] Long range one-cookie random walk with positive speed (with Andrea Collevecchio and Kais Hamza). Stochastic Processes and their Applications. Volume 142 (2021), Issue 12, p. 462-478. arXiv:2011.00493
[7] Strongly vertex-reinforced jump process on a complete graph (with Olivier Raimond). Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. Volume 57 (2021), Issue 3, p.1549–1568. arXiv:1810.06905
[6] On a class of random walks in simplexes (with Stanislav Volkov). Journal of Applied Probability. Volume 57 (2020), Issue 2, p. 409-428. arXiv:1709.00174
[5] A universal result for consecutive random subdivision of polygons (with Stanislav Volkov). Random Structures & Algorithms. Volume 51 (2017), Issue 2, p. 341–371. arXiv:1506.04942
[4] Conservation law for the Cauchy-Navier equation of elastodynamics wave via Fourier transform (with Victor Korzyuk and Nguyen Van Vinh). Trudy Instituta Matematiki. Volume 24 (2016), Issue 1, p. 100-106.
[3] Queueing system GI/M/1 with admission control (with Alexander Dudin). Vestnik Belorusskogo Gosudarstvennogo Universiteta. Seria 1. Fizika, Matematika, Informatika. Volume 2012 (2012), Issue 3, p. 135-141.
[2] Classical solution of the Cauchy problem for biwave equation: Application of Fourier transform (with Victor Korzyuk and Nguyen Van Vinh). Mathematical Modelling and Analysis. Volume 17 (2012), Issue 5, p. 630-641.
[1] Malliavin-Stein method for multi-dimensional U-statistics of Poisson point processes. Unpublished manuscript, 2011. arXiv:1111.2140
PhD Thesis
Random Geometry and Reinforced Jump Processes.
Doctoral Theses in Mathematical Sciences 2017:8, Lund University, 2017.
ISBN: 978-91-7753-505-8
Talks
Speed of excited random walks with non-nearest-neighbour steps. 66th Annual Meeting of The Australian Mathematical Society, UNSW, Sydney, Dec 06-09, 2022.
Strongly vertex-reinforced jump processes on complete graphs. Probability and Statistics Seminar, Department of Mathematics, Uppsala University, Nov 14, 2017.
Strongly vertex-reinforced jump processes on complete graphs. 47th Probability Summer School Saint-Flour, Saint Flour, France, July 02 - 14, 2017.
Strongly vertex-reinforced jump processes on complete graphs. PhD Seminar, Centre for Mathematical Sciences, Lund University, May 15, 2017.
Random subdivision of polygons. New Developments in Processes with Reinforcement, Heilbronn Institute for Mathematical Research, Bristol, UK, Feb 01 - 04, 2016.
A universal result for consecutive random subdivision of polygons. Statistics Seminar, Centre for Mathematical Sciences, Lund University, May 22, 2015.
Malliavin-Stein method for multi-dimensional U-statistics of Poisson point processes. XI Belarusian mathematical conference, Republic of Belarus, Minsk, Nov 05 - 09, 2012.
Queueing system GI/M/1 with randomized threshold admission control. International congress on Computer Science: Information Systems and Technologies (CSIST'2011), Republic of Belarus, Minsk, Oct 31 - Nov 03, 2011.
Other research schools, research visits, workshops
Probabilistic Models in Evolutionary Biology and Game Theory, Creswick, Australia, 6-10 January, 2025.
Stochastic systems for anomalous diffusion, Isaac Newton Institute for Mathematical Sciences, Cambridge, United Kingdom, December, 2024.
MATRIX-MFO Tandem Workshop: Stochastic Reinforcement Processes and Graphs, Creswick, Australia, 5-11 March, 2023.
ERC Ichaos Working Group. Institut d’ ́Etudes Scientifiques de Cargèse, France, March 19-23, 2018.
UK Easter Probability Meeting 2016: Random structures arising in Physics and Analysis, Lancaster University, United Kingdom, April 4 - 8, 2016.
LMS-CMI Research School: Developments in Modern Probability, Oxford University, Oxford, United Kingdom, July 5-10, 2015.
School on Random Geometry and Random Matrices. ICTP South American Institute for Fundamental Research, Sao Paulo, Brazil, August 25 - September 2, 2014.
2013 School on Mathematical Statistical Physics. Center for Theoretical Study & Institute of Theoretical Computer Science of the Charles University of Prague, Prague, Czech Republic, August 19 - 30, 2013.