Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability DA Levin, MJ Luczak, Y Peres Probability Theory and Related Fields 146, 223-265, 2010 | 172 | 2010 |
A simple solution to the k‐core problem S Janson, MJ Luczak Random Structures & Algorithms 30 (1‐2), 50-62, 2007 | 169 | 2007 |
A new approach to the giant component problem S Janson, MJ Luczak Random Structures & Algorithms 34 (2), 197-216, 2009 | 147 | 2009 |
Law of large numbers for the SIR epidemic on a random graph with given degrees S Janson, M Luczak, P Windridge Random Structures & Algorithms 45 (4), 726-763, 2014 | 116 | 2014 |
On the maximum queue length in the supermarket model MJ Luczak, C McDiarmid | 106 | 2006 |
Asymptotic normality of the k-core in random graphs S Janson, MJ Luczak | 80 | 2008 |
The phase transition in the cluster‐scaled model of a random graph M Luczak, T Łuczak Random Structures & Algorithms 28 (2), 215-246, 2006 | 49 | 2006 |
On the power of two choices: balls and bins in continuous time MJ Luczak, C McDiarmid | 45 | 2005 |
Strong approximation for the supermarket model MJ Luczak, J Norris | 44 | 2005 |
Susceptibility in subcritical random graphs S Janson, MJ Luczak Journal of Mathematical Physics 49 (12), 2008 | 42 | 2008 |
Building uniformly random subtrees M Luczak, P Winkler Random structures & algorithms 24 (4), 420-443, 2004 | 36 | 2004 |
Bisecting sparse random graphs MJ Luczak, C McDiarmid Random Structures & Algorithms 18 (1), 31-38, 2001 | 31 | 2001 |
Asymptotic distributions and chaos for the supermarket model M Luczak, C McDiarmid | 30 | 2007 |
The greedy independent set in a random graph with given degrees G Brightwell, S Janson, M Luczak Random Structures & Algorithms 51 (4), 565-586, 2017 | 25 | 2017 |
Concentration of measure and mixing for Markov chains M Luczak Discrete Mathematics & Theoretical Computer Science, 2008 | 25 | 2008 |
Random subgraphs of the 2D Hamming graph: the supercritical phase R van der Hofstad, MJ Luczak Probability theory and related fields 147 (1), 1-41, 2010 | 24 | 2010 |
Averaging over fast variables in the fluid limit for Markov chains: application to the supermarket model with memory MJ Luczak, JR Norris | 23 | 2013 |
Reducing network congestion and blocking probability through balanced allocation MJ Luczak, E Upfal 40th Annual Symposium on Foundations of Computer Science (Cat. No. 99CB37039 …, 1999 | 23 | 1999 |
The supermarket model with arrival rate tending to one G Brightwell, M Luczak arXiv preprint arXiv:1201.5523, 2012 | 21 | 2012 |
Multivariate approximation in total variation, I: Equilibrium distributions of Markov jump processes AD Barbour, MJ Luczak, A Xia The Annals of Probability 46 (3), 1351-1404, 2018 | 18* | 2018 |