A simple solution to the *k*‐core problemS Janson, MJ Luczak Random Structures & Algorithms 30 (1‐2), 50-62, 2007 | 127 | 2007 |

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 (1-2), 223, 2010 | 116 | 2010 |

A new approach to the giant component problem S Janson, MJ Luczak Random Structures & Algorithms 34 (2), 197-216, 2009 | 105 | 2009 |

On the maximum queue length in the supermarket model MJ Luczak, C McDiarmid The Annals of Probability 34 (2), 493-527, 2006 | 93 | 2006 |

On the maximum queue length in the supermarket model MJ Luczak, C McDiarmid The Annals of Probability 34 (2), 493-527, 2006 | 93 | 2006 |

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 | 81 | 2014 |

Asymptotic normality of the k-core in random graphs S Janson, MJ Luczak The annals of applied probability 18 (3), 1085-1137, 2008 | 52 | 2008 |

Strong approximation for the supermarket model MJ Luczak, J Norris The Annals of Applied Probability 15 (3), 2038-2061, 2005 | 39 | 2005 |

On the power of two choices: balls and bins in continuous time MJ Luczak, C McDiarmid The Annals of Applied Probability 15 (3), 1733-1764, 2005 | 38 | 2005 |

Susceptibility in subcritical random graphs S Janson, MJ Luczak Journal of mathematical physics 49 (12), 125207, 2008 | 37 | 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 | 34 | 2006 |

Building uniformly random subtrees M Luczak, P Winkler Random Structures & Algorithms 24 (4), 420-443, 2004 | 30 | 2004 |

Asymptotic distributions and chaos for the supermarket model M Luczak, C McDiarmid Electronic Journal of Probability 12, 75-99, 2007 | 28 | 2007 |

Bisecting sparse random graphs MJ Luczak, C McDiarmid Random Structures & Algorithms 18 (1), 31-38, 2001 | 26 | 2001 |

Random subgraphs of the 2D Hamming graph: the supercritical phase R van der Hofstad, MJ Luczak Probability theory and related fields 147 (1-2), 1-41, 2010 | 24 | 2010 |

Concentration of measure and mixing for Markov chains MJ Luczak arXiv preprint arXiv:0809.4856, 2008 | 22 | 2008 |

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 | 20 | 1999 |

Averaging over fast variables in the fluid limit for Markov chains: application to the supermarket model with memory MJ Luczak, JR Norris The Annals of Applied Probability 23 (3), 957-986, 2013 | 17 | 2013 |

Concentration for locally acting permutations MJ Luczak, C McDiarmid Discrete Mathematics 265 (1-3), 159-171, 2003 | 16 | 2003 |

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 | 14* | 2018 |