Publications

Back to staff profile

  • F Lopes, M. Luczak. Extinction time for the weaker of two competing SIS epidemics. Annals of Applied Probability, 30, 2880-2922, 2020. doi: 10.1214/20-AAP1576.

  • R van der Hofstad, S Janson, M. Luczak. Component structure of the configuration model: Barely supercritical case. Random Structures and Algorithms, 3-55, 2019. doi: 10.1002/rsa.20837.

  • G. Brightwell, M Fairthorne, M. Luczak. The Supermarket Model with Bounded Queue Lengths in Equilibrium. Journal of Statistical Physics, 1149-1194, 2018. doi: 10.1007/s10955-018-2044-7.

  • A. Barbour, M. Luczak, A. Xia. Multivariate approximation in total variation, II: Discrete normal approximation. Annals of Probability, 46, 1405-1440, 2018. doi: 10.1214/17-AOP1205.

  • A. Barbour, M. Luczak, A. Xia. Multivariate approximation in total variation, I: Equilibrium distributions of Markov jump processes. Annals of Probability, 46, 1351-1404, 2018. doi: 10.1214/17-AOP1204.

  • M. Luczak, Graham Brightwell, Thomas House. Extinction times in the subcritical stochastic SIS logistic epidemic.. Journal of mathematical biology, 77, 455-493, 2018. doi: 10.1007/s00285-018-1210-5.

  • G. Brightwell, S Janson, M. Luczak. The Greedy Independent Set in a Random Graph with Given Degrees. Random Structures and Algorithms, 51, 565-586, 2017. doi: 10.1002/rsa.20716.

  • Svante Janson, M. Luczak, Peter Windridge, Thomas House. Near-critical SIR epidemic on a random graph with given degrees.. Journal of mathematical biology, 74, 843-886, 2017. doi: 10.1007/s00285-016-1043-z.

  • A. Barbour, M. Luczak. Individual and patch behaviour in structured metapopulation models.. Journal of mathematical biology, 71, 713-733, 2015. doi: 10.1007/s00285-014-0834-3.

  • M. Luczak, Colin McDiarmid. Balanced routing of random calls. The Annals of Applied Probability, 25, 1279-1324, 2015. doi: 10.1214/14-AAP1023.

  • S Janson, M. Luczak, P Windridge. Law of large numbers for the SIR epidemic on a random graph with given degrees. Random Structures and Algorithms, 45, 724-761, 2014. doi: 10.1002/rsa.20575.

  • M. Luczak, JR Norris. Averaging over fast variables in the fluid limit for markov chains: Application to the supermarket model with memory. The Annals of Applied Probability, 23, 957-986, 2013. doi: 10.1214/12-AAP861.

  • A. Barbour, M. Luczak. A law of large numbers approximation for Markov population processes with countably many types. Probability Theory and Related Fields, 153, 727-757, 2012. doi: 10.1007/s00440-011-0359-2.

  • A. Barbour, M. Luczak. Central limit approximations for Markov population processes with countably many types. Electronic Journal of Probability, 17, 1-16, 2012. doi: 10.1214/EJP.v17-1760.

  • G. Brightwell, M. Luczak. Order-invariant measures on fixed causal sets. Combinatorics Probability and Computing, 21, 330-357, 2012. doi: 10.1017/S0963548311000721.

  • G. Brightwell, M. Luczak. Order-Invariant measures on causal sets. Annals of Applied Probability, 21, 1493-1536, 2011. doi: 10.1214/10-AAP736.

  • R van der Hofstad, M. Luczak, J Spencer. The second largest component in the supercritical 2D Hamming graph. Random Structures and Algorithms, 36, 80-89, 2010. doi: 10.1002/rsa.20288.

  • R van der Hofstad, M. Luczak. Random subgraphs of the 2D Hamming graph: The supercritical phase. Probability Theory and Related Fields, 147, 1-41, 2010. doi: 10.1007/s00440-009-0200-3.

  • S Janson, M. Luczak. A new approach to the giant component problem. Random Structures and Algorithms, 34, 197-216, 2009. doi: 10.1002/rsa.20231.

  • DA Levin, M. Luczak, Y Peres. Glauber dynamics for the mean-field Ising Model: Cut-off, critical power law, and metastability. Probability Theory and Related Fields, 146, 223-265, 2009. doi: 10.1007/s00440-008-0189-z.

  • S Janson, M. Luczak. Susceptibility in subcritical random graphs. Journal of Mathematical Physics, 49, 125207, 2008. doi: 10.1063/1.2982848.

  • S Janson, M. Luczak. Asymptotic normality of the k-core in random graphs. Annals of Applied Probability, 18, 1085-1137, 2008. doi: 10.1214/07-AAP478.

  • A. Barbour, M. Luczak. Laws of large numbers for epidemic models with countably many types. The Annals of Applied Probability, 18, 2208-2238, 2008. doi: 10.1214/08-AAP521.

  • S Janson, M. Luczak. A simple solution to the k-core problem. Random Structures and Algorithms, 30, 50-62, 2007. doi: 10.1002/rsa.20147.

  • M. Luczak, C Mc Diarmid, Colin McDiarmid. Asymptotic distributions and chaos for the supermarket model. Electronic Journal of Probability, 12, 75-99, 2007. doi: 10.1214/EJP.v12-391.

  • M. Luczak, C Mcdiarmid. On the maximum queue length in the supermarket model. Annals of Probability, 34, 493-527, 2006. doi: 10.1214/00911790500000710.

  • M. Luczak, T Łuczak. The phase transition in the cluster-scaled model of a random graph. Random Structures and Algorithms, 28, 215-246, 2006. doi: 10.1002/rsa.20088.

  • M. Luczak, Colin McDiarmid. On the maximum queue length in the supermarket model. ANNALS OF PROBABILITY, 34, 493-527, 2006. doi: 10.1114/00911790500000710.

  • M. Luczak, C McDiarmid. On the power of two choices: Balls and bins in continuous time. Annals of Applied Probability, 15, 1733-1764, 2005. doi: 10.1214/105051605000000205.

  • M. Luczak, J Norris. Strong approximation for the supermarket model. Annals of Applied Probability, 15, 2038-2061, 2005. doi: 10.1214/105051605000000368.

  • M. Luczak, J Norris. Strong approximation for the supermarket model. ANNALS OF APPLIED PROBABILITY, 15, 2038-2061, 2005. doi: 10.1214/10505160500000368.

  • M. Luczak, P Winkler. Building uniformly random subtrees. Random Structures and Algorithms, 24, 420-443, 2004. doi: 10.1002/rsa.20011.

  • M. Luczak, C Mcdiarmid. Concentration for locally acting permutations. Discrete Mathematics, 265, 159-171, 2003. doi: 10.1016/S0012-365X(02)00628-3.

  • M. Luczak, C McDiarmid, E Upfal. On-line routing of random calls in networks. Probability Theory and Related Fields, 125, 457-482, 2003. doi: 10.1007/s00440-002-0242-2.

  • M. Luczak, SD Noble. Erratum: Optimal arrangement of data in a tree directory (Discrete Applied Mathematics (2001) 113 (243-253)). Discrete Applied Mathematics, 121, 307-315, 2002. doi: 10.1016/S0166-218X(02)00180-4.

  • M. Luczak, C McDiarmid. Bisecting sparse random graphs. Random Structures and Algorithms, 18, 31-38, 2001. doi: 10.1002/1098-2418(200101)18:1<31::AID-RSA3>3.0.CO;2-1.

  • M. Luczak, SD Noble. Optimal arrangement of data in a tree directory. Discrete Applied Mathematics, 113, 243-253, 2001. doi: 10.1016/S0166-218X(01)00174-3.

  • M. Luczak, C McDiarmid. Bisecting sparse random graphs. RANDOM STRUCTURES & ALGORITHMS, 18, 31-38, 2001. doi: 10.1002/1098-2418(200101)18:1<31::AID-RSA3>3.3.CO;2-T.

  • M. Luczak, E Upfal. Reducing network congestion and blocking probability through balanced allocation. Annual Symposium on Foundations of Computer Science - Proceedings, 587-595, 1999.