Papers and preprints

• "Snakes and perturbed random walks", (with Gobal Basak), to appear in to appear in Proceedings of Steklov Institute of Mathematics (2013) (arXiv)

• "Random geometric subdivisions", Random Structures and Algorithms, DOI 10.1002/rsa.20454, (2012), (arXiv)

• "On the generalization of the GMS evolutionary model", (with Skevi Michael), Markov Processes and Related Fields, 18 (2012), 311--322. (arXiv)

• "Random walk with barycentric self-interaction", (with M. Menshikov, F. Comets, A. Wade), Journal of Statistical Physics, 143 (2011), 855--888. (arXiv)

• "Simple harmonic urn", (with Ed Crane, Nick Georgiou, Rob Waters, Andrew Wade), Annals of Probability, 39 (2011), no. 6, 2119--2177. (arXiv)

• "Passage-time moments and hybrid zones for the exclusion-voter model", (with Iain MacPhee, Mikhail Menshikov, Andrew Wade), Bernoulli, 16 (2010), 1312--1342. (arXiv)

• "On a coloured tree with non i.i.d. random labels", (with Skevi Michael), Statistics and Probability Letters, 80 (2010), 1896-–1903. (arXiv)

• "VRRW on complete-like graphs: almost sure behavior", (with Vlada Limic), Annals of Applied Probability, 20 (2010), no. 6, 2346--2388. (arXiv)

• "Stability of a growth process generated by monomer filling with nearest-neighbor cooperative effects", (with Vadim Shcherbakov), Stochastic Processes and their Applications, 120 (2010), 926--948. (arXiv)

• "Queueing with neighbours", (with Vadim Shcherbakov), in: Bingham, N. H., and Goldie, C. M. (eds), (2010). Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman. London Math. Soc. Lecture Note Series. Cambridge Univ. Press. (arXiv)

• "Forest fires on Z₊ with ignition only at 0", ALEA Latin American Journal of Probability and Mathematical Statistics, 6 (2009), 399--414. (arXiv)

• "On stability of adsorption processes", (with Vadim Shcherbakov), in: Shiryaev, A.N. (Ed.) Contemporary Problems of Mathematics and Mechanics. Prob. Theory and Math. Stat. MSU Press, v.4, N1 (2009), 166--174 (in Russian). (pdf)

• "Learning to signal: analysis of a micro-level reinforcement model", (with Raffaele Argiento, Robin Pemantle, Brian Skyrms), Stochastic Processes and their Applications, 119 (2009), no. 2, 373--390. (pdf)

• "An urn model for odds ratio based adaptive phase III clinical trials", (with Gopal Basak, Atanu Biswas), Markov Processes and Related Fields, 14 (2008), 571--582 (pdf)

• "A note on random walks in a hypercube", (with Tim Wong), Pi Mu Epsilon journal, 9 (2008) 551--557, (arXiv)

• "Urn-related random walk with drift \rho x^a/ t^b", (with Mikhail Menshikov). Electronic Journal of Probability, 13 (2008), 944--960 (paper)

• "Random environment on coloured trees", (with Mikhail Menshikov, Dimitri Petritis), Bernoulli, 13 (2007), 966--980 (pdf)

• "Periodicity in the transient regime of exhaustive polling systems", (with Mikhail Menshikov, Iain MacPhee, Serguei Popov), Annals of Applied Probability, 16 (2006), no. 4, 1816--1850 (pdf)

• "Phase transition in vertex-reinforced random walks on Z with non-linear reinforcement", Journal of Theoretical Probability, 19 (2006), 691--700 (pdf)

• "A note on the simple random walk on Z²: probability of exiting sequences of sets", Statistics & Probability Letters, 76 (2006), 891--897 (pdf)

• "A probabilistic model for the 5k+1 problem and related maps", Stochastic Processes and their Applications, 116 (2006) no. 4, 662--674 (pdf)
  

• "A note on the lilypond model", (with Codina Cotar), Advances in Applied Probability, 36 (2004) no. 2, 325--339. (ps-file)

• "Vertex-reinforced jump process on trees and finite graphs", (with Burgess Davis), Probability Theory and Related Fields, 128 (2004) no. 1, 42--62. (pdf)

• "Excited random walk on trees", Electronic Journal of Probability, 8 (2003), paper no.23. (ps-file)

• "Solution to the OK Corral model via decoupling of Friedman's urn", (with Sir John Kingman), Journal of Theoretical Probability, 16 (2003), no. 1, 267--276. (pdf)

• "The Loss of Tension in an Infinite Membrane with Holes Distributed according to a Poisson Law", (with Mikhail Menshikov and Konstantin Rybnikov), Advances in Applied Probability, 34 (2002), no. 2, 292--312 (pdf)

• "Continuous time vertex-reinforced jump processes", (with Burgess Davis), Probability Theory and Related Fields, 123 (2002) No. 2, 281--300. (pdf)

• "Percolation and the Loss of Tension in an Infinite Triangular Lattice", (with Robert Connelly and Konstantin Rybnikov) Journal of Statistical Physics, 105 (2001), no. 1-2, 143--171. (pdf)

• "Branching random walk in random environment: fully quenched case", Markov Processes and Related Fields 7 (2001), no. 2, 349--353. (ps-file)

• "Packet delay in models of data networks", (with Henryk Fuks and Anna Lawniczak), ACM Transactions on Modeling and Computer Simulation, 11 (2001), no. 3, 233--250. (pdf)

• "Vertex-reinforced random walk on arbitrary graphs", Annals of Probability, 29 (2001), no. 1, 66--91. (ps-file)

• "Vertex-reinforced random walk on Z has finite range" (with Robin Pemantle), Annals of Probability, 27 (1999), no. 3, 1368--1388. (ps-file)

• "Markov Chains in a Field of Traps" (with Robin Pemantle), Journal of Theoretical Probability, 11 (1998), no. 2, 561--569. (ps-file)

• "Branching Markov Chains: qualitative characteristics" (with Mikhail Menshikov), Markov Processes and Related Fields, 3 (1997), no. 2, 225--241. (ps-file)

• "Criteria of transience and recurrence for branching random walks" (with Mikhail Menshikov), Proceedings of the International Conference in the Memory of P.L. Chebyshev, Moscow State University, (1996), 89--91.

• "Random walks in random labyrinths" (with Geoffrey Grimmett and Mikhail Menshikov), Markov Processes and Related Fields, 2 (1996), no. 1, 69--86. (ps-file)

• "Two Problems about Random Walks in a Random Field of Traps" (with Frank den Hollander, Mikhail Menshikov) Markov Processes and Related Fields, 1 (1995), no. 2, 185--202. (ps-file)

• "A comparison of the semiflexed (MTP) view with the standing extended view (SEV) in the radiographic assessment of knee osteoarthritis in a busy routine X-ray department", (with J.Duddy, J.Kirwan, B.Szebenyi, S.Clarke, R.Granell), Rheumatology 44 (2005), 349--351. (link)

• "An urn model for odds ratio based response-adaptive phase III clinical trials for two or more treatments", (with Gopal Basak, Atanu Biswas), Journal of Biopharmaceutical Statistics 8 (2009) , 838--856. (link)