Edit Profile Luczak, Malwina J. Compute Distance To: Compute Author ID: luczak.malwina-j Published as: Luczak, M. J.; Luczak, Malwina; Luczak, Malwina J.; Łuczak, Malwina External Links: MGP · Wikidata · ORCID Documents Indexed: 38 Publications since 2001 all top 5 Co-Authors 3 single-authored 8 Janson, Svante 7 Brightwell, Graham R. 7 McDiarmid, Colin J. H. 6 Barbour, Andrew D. 3 van der Hofstad, Remco W. 2 House, Thomas 2 Norris, James R. 2 Windridge, Peter 2 Xia, Aihua 1 Fairthorne, Marianne 1 Levin, David A. 1 Łuczak, Tomasz 1 Noble, Steven Derek 1 Peres, Yuval 1 Spencer, Joel H. 1 Upfal, Eli 1 Winkler, Peter M. all top 5 Serials 9 Random Structures & Algorithms 7 The Annals of Applied Probability 4 Probability Theory and Related Fields 3 Journal of Mathematical Biology 3 The Annals of Probability 3 Electronic Journal of Probability 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Journal of the American Statistical Association 1 Combinatorics, Probability and Computing all top 5 Fields 26 Probability theory and stochastic processes (60-XX) 17 Combinatorics (05-XX) 6 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Computer science (68-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 34 Publications have been cited 272 times in 207 Documents Cited by ▼ Year ▼ Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability. Zbl 1187.82076Levin, David A.; Luczak, Malwina J.; Peres, Yuval 42 2010 A new approach to the giant component problem. Zbl 1177.05110Janson, Svante; Luczak, Malwina J. 26 2009 A simple solution to the \(k\)-core problem. Zbl 1113.05091Janson, Svante; Luczak, Malwina J. 26 2007 On the maximum queue length in the supermarket model. Zbl 1102.60083Luczak, Malwina J.; McDiarmid, Colin 20 2006 Law of large numbers for the SIR epidemic on a random graph with given degrees. Zbl 1328.05170Janson, Svante; Luczak, Malwina; Windridge, Peter 18 2014 Asymptotic normality of the \(k\)-core in random graphs. Zbl 1157.05047Janson, Svante; Luczak, Malwina J. 16 2008 Building uniformly random subtrees. Zbl 1050.60007Luczak, Malwina; Winkler, Peter 10 2004 Random subgraphs of the 2D Hamming graph: The supercritical phase. Zbl 1188.05141van der Hofstad, Remco; Luczak, Malwina J. 9 2010 On the power of two choices: balls and bins in continuous time. Zbl 1079.60016Luczak, Malwina J.; McDiarmid, Colin 9 2005 Susceptibility in subcritical random graphs. Zbl 1159.81324Janson, Svante; Luczak, Malwina J. 8 2008 Asymptotic distributions and chaos for the supermarket model. Zbl 1131.60005Luczak, Malwina J.; McDiarmid, Colin 8 2007 Strong approximation for the supermarket model. Zbl 1080.60086Luczak, Malwina J.; Norris, James 8 2005 Bisecting sparse random graphs. Zbl 0968.05071Luczak, Malwina J.; McDiarmid, Colin 7 2001 Multivariate approximation in total variation. II: Discrete normal approximation. Zbl 1393.62008Barbour, A. D.; Luczak, M. J.; Xia, A. 6 2018 Concentration of measure and mixing for Markov chains. Zbl 1357.60075Luczak, Malwina J. 6 2008 Laws of large numbers for epidemic models with countably many types. Zbl 1197.92039Barbour, A. D.; Luczak, M. J. 6 2008 The phase transition in the cluster-scaled model of a random graph. Zbl 1089.05066Łuczak, Malwina; Łuczak, Tomasz 5 2006 On-line routing of random calls in networks. Zbl 1028.90009Luczak, Malwina J.; McDiarmid, Colin; Upfal, Eli 5 2003 Concentration for locally acting permutations. Zbl 1025.60003Luczak, Malwina J.; McDiarmid, Colin 4 2003 Multivariate approximation in total variation. I: Equilibrium distributions of Markov jump processes. Zbl 1393.62007Barbour, A. D.; Luczak, M. J.; Xia, A. 3 2018 The greedy independent set in a random graph with given degrees. Zbl 1386.05175Brightwell, Graham; Janson, Svante; Luczak, Malwina 3 2017 Averaging over fast variables in the fluid limit for Markov chains: Application to the supermarket model with memory. Zbl 1274.60244Luczak, M. J.; Norris, J. R. 3 2013 Central limit approximations for Markov population processes with countably many types. Zbl 1284.92079Barbour, Andrew; Luczak, Malwina 3 2012 A law of large numbers approximation for Markov population processes with countably many types. Zbl 1395.60083Barbour, A. D.; Luczak, M. J. 3 2012 Order-invariant measures on fixed causal sets. Zbl 1260.06003Brightwell, Graham; Luczak, Malwina 3 2012 Order-invariant measures on causal sets. Zbl 1274.60026Brightwell, Graham; Luczak, Malwina 3 2011 Individual and patch behaviour in structured metapopulation models. Zbl 1334.92327Barbour, A. D.; Luczak, M. J. 2 2015 Vertices of high degree in the preferential attachment tree. Zbl 1244.05197Brightwell, Graham; Luczak, Malwina 2 2012 The second largest component in the supercritical 2D Hamming graph. Zbl 1208.05139van der Hofstad, Remco; Luczak, Malwina J.; Spencer, Joel 2 2010 A quantiative law of large numbers via exponential martingales. Zbl 1038.60068Luczak, Malwina J. 2 2003 Component structure of the configuration model: barely supercritical case. Zbl 1425.05145van der Hofstad, Remco; Janson, Svante; Luczak, Malwina 1 2019 The supermarket model with bounded queue lengths in equilibrium. Zbl 1403.60075Brightwell, Graham; Fairthorne, Marianne; Luczak, Malwina J. 1 2018 Extinction times in the subcritical stochastic SIS logistic epidemic. Zbl 1394.60080Brightwell, Graham; House, Thomas; Luczak, Malwina 1 2018 Near-critical SIR epidemic on a random graph with given degrees. Zbl 1358.05259Janson, Svante; Luczak, Malwina; Windridge, Peter; House, Thomas 1 2017 Component structure of the configuration model: barely supercritical case. Zbl 1425.05145van der Hofstad, Remco; Janson, Svante; Luczak, Malwina 1 2019 Multivariate approximation in total variation. II: Discrete normal approximation. Zbl 1393.62008Barbour, A. D.; Luczak, M. J.; Xia, A. 6 2018 Multivariate approximation in total variation. I: Equilibrium distributions of Markov jump processes. Zbl 1393.62007Barbour, A. D.; Luczak, M. J.; Xia, A. 3 2018 The supermarket model with bounded queue lengths in equilibrium. Zbl 1403.60075Brightwell, Graham; Fairthorne, Marianne; Luczak, Malwina J. 1 2018 Extinction times in the subcritical stochastic SIS logistic epidemic. Zbl 1394.60080Brightwell, Graham; House, Thomas; Luczak, Malwina 1 2018 The greedy independent set in a random graph with given degrees. Zbl 1386.05175Brightwell, Graham; Janson, Svante; Luczak, Malwina 3 2017 Near-critical SIR epidemic on a random graph with given degrees. Zbl 1358.05259Janson, Svante; Luczak, Malwina; Windridge, Peter; House, Thomas 1 2017 Individual and patch behaviour in structured metapopulation models. Zbl 1334.92327Barbour, A. D.; Luczak, M. J. 2 2015 Law of large numbers for the SIR epidemic on a random graph with given degrees. Zbl 1328.05170Janson, Svante; Luczak, Malwina; Windridge, Peter 18 2014 Averaging over fast variables in the fluid limit for Markov chains: Application to the supermarket model with memory. Zbl 1274.60244Luczak, M. J.; Norris, J. R. 3 2013 Central limit approximations for Markov population processes with countably many types. Zbl 1284.92079Barbour, Andrew; Luczak, Malwina 3 2012 A law of large numbers approximation for Markov population processes with countably many types. Zbl 1395.60083Barbour, A. D.; Luczak, M. J. 3 2012 Order-invariant measures on fixed causal sets. Zbl 1260.06003Brightwell, Graham; Luczak, Malwina 3 2012 Vertices of high degree in the preferential attachment tree. Zbl 1244.05197Brightwell, Graham; Luczak, Malwina 2 2012 Order-invariant measures on causal sets. Zbl 1274.60026Brightwell, Graham; Luczak, Malwina 3 2011 Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability. Zbl 1187.82076Levin, David A.; Luczak, Malwina J.; Peres, Yuval 42 2010 Random subgraphs of the 2D Hamming graph: The supercritical phase. Zbl 1188.05141van der Hofstad, Remco; Luczak, Malwina J. 9 2010 The second largest component in the supercritical 2D Hamming graph. Zbl 1208.05139van der Hofstad, Remco; Luczak, Malwina J.; Spencer, Joel 2 2010 A new approach to the giant component problem. Zbl 1177.05110Janson, Svante; Luczak, Malwina J. 26 2009 Asymptotic normality of the \(k\)-core in random graphs. Zbl 1157.05047Janson, Svante; Luczak, Malwina J. 16 2008 Susceptibility in subcritical random graphs. Zbl 1159.81324Janson, Svante; Luczak, Malwina J. 8 2008 Concentration of measure and mixing for Markov chains. Zbl 1357.60075Luczak, Malwina J. 6 2008 Laws of large numbers for epidemic models with countably many types. Zbl 1197.92039Barbour, A. D.; Luczak, M. J. 6 2008 A simple solution to the \(k\)-core problem. Zbl 1113.05091Janson, Svante; Luczak, Malwina J. 26 2007 Asymptotic distributions and chaos for the supermarket model. Zbl 1131.60005Luczak, Malwina J.; McDiarmid, Colin 8 2007 On the maximum queue length in the supermarket model. Zbl 1102.60083Luczak, Malwina J.; McDiarmid, Colin 20 2006 The phase transition in the cluster-scaled model of a random graph. Zbl 1089.05066Łuczak, Malwina; Łuczak, Tomasz 5 2006 On the power of two choices: balls and bins in continuous time. Zbl 1079.60016Luczak, Malwina J.; McDiarmid, Colin 9 2005 Strong approximation for the supermarket model. Zbl 1080.60086Luczak, Malwina J.; Norris, James 8 2005 Building uniformly random subtrees. Zbl 1050.60007Luczak, Malwina; Winkler, Peter 10 2004 On-line routing of random calls in networks. Zbl 1028.90009Luczak, Malwina J.; McDiarmid, Colin; Upfal, Eli 5 2003 Concentration for locally acting permutations. Zbl 1025.60003Luczak, Malwina J.; McDiarmid, Colin 4 2003 A quantiative law of large numbers via exponential martingales. Zbl 1038.60068Luczak, Malwina J. 2 2003 Bisecting sparse random graphs. Zbl 0968.05071Luczak, Malwina J.; McDiarmid, Colin 7 2001 all cited Publications top 5 cited Publications all top 5 Cited by 298 Authors 19 Luczak, Malwina J. 15 Janson, Svante 13 van der Hofstad, Remco W. 10 Lubetzky, Eyal 10 Peres, Yuval 7 Barbour, Andrew D. 7 Riordan, Oliver Maxim 6 Bollobás, Béla 6 Ding, Jian 5 Bhamidi, Shankar 5 McDiarmid, Colin J. H. 5 Nachmias, Asaf 5 Sly, Allan 4 Komjáthy, Júlia 4 Li, Quanlin 4 van Leeuwaarden, Johan S. H. 4 Xia, Aihua 3 Auletta, Vincenzo 3 Bramson, Maury D. 3 Brightwell, Graham R. 3 Dhara, Souvik 3 Ferraioli, Diodato 3 Gheissari, Reza 3 House, Thomas 3 Kang, Mihyun 3 Kovchegov, Yevgeniy V. 3 Lelarge, Marc 3 Leung, Ka Yin 3 Molloy, Michael S. O. 3 Mukherjee, Debankur 3 Otto, Peter Tak-Hun 3 Pasquale, Francesco 3 Persiano, Giuseppe 3 Reed, Bruce Alan 3 Reinert, Gesine D. 3 Scoppola, Benedetto 3 Spencer, Joel H. 3 Windridge, Peter 2 Addario-Berry, Louigi 2 Ball, Frank G. 2 Bianchi, Alessandra 2 Britton, Tom 2 Budhiraja, Amarjit S. 2 Burch, Mark G. 2 Chatterjee, Sourav 2 Coja-Oghlan, Amin 2 Cooley, Oliver 2 Dai, Guirong 2 Deijfen, Maria 2 Diekmann, Odo 2 Federico, Lorenzo 2 Goldschmidt, Christina 2 Jacobsen, Karly A. 2 Kaur, Gursharn 2 Kiss, István Z. 2 Lu, Yi 2 Lui, John C. S. 2 Lyons, Russell 2 Martinelli, Fabio 2 Mcvinish, Ross S. 2 Menshikov, Mikhail V. 2 Norris, James R. 2 Paulin, Daniel 2 Pittel, Boris G. 2 Pollett, Philip K. 2 Poole, Daniel J. 2 Prabhakar, Balaji 2 Rempała, Grzegorz A. 2 Röllin, Adrian 2 Schlichting, André 2 Sen, Sanchayan 2 Simon, Peter L. 2 Skubch, Kathrin 2 Tien, Joseph H. 2 Trapman, Pieter 2 Vachkovskaia, Marina 1 Achlioptas, Dimitris 1 Adamczak, Radosław 1 Adriaans, Erwin 1 Aghajani, Reza 1 Amini, Hamed 1 Angel, Omer 1 Anselmi, Jonatha 1 Athreya, Siva R. 1 Backhausz, Ágnes M. 1 Bandyopadhyay, Antar 1 Barlow, Martin T. 1 Barnard, Rosanna C. 1 Baroni, Enrico 1 Barrera, Javiera 1 Barroso, Manuel A. 1 Batagelj, Vladimir 1 Bauerschmidt, Roland 1 Becker, Simon 1 Bermolen, Paola 1 Berthouze, Luc 1 Bertoin, Jean 1 Bertoncini, Olivier 1 Boden, Brigitte 1 Bodineau, Thierry ...and 198 more Authors all top 5 Cited in 70 Serials 20 The Annals of Applied Probability 18 Journal of Statistical Physics 16 Random Structures & Algorithms 16 Combinatorics, Probability and Computing 8 Journal of Mathematical Biology 7 The Annals of Probability 7 Stochastic Processes and their Applications 6 Journal of Applied Probability 6 Probability Theory and Related Fields 5 Communications in Mathematical Physics 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Electronic Journal of Probability 5 Bernoulli 3 Journal of Mathematical Physics 3 Journal of Combinatorial Theory. Series B 3 Journal of Functional Analysis 3 Algorithmica 3 Stochastic Systems 2 Mathematical Biosciences 2 Advances in Applied Mathematics 2 Statistics & Probability Letters 2 Journal of Theoretical Probability 2 SIAM Journal on Discrete Mathematics 2 Discrete Event Dynamic Systems 2 Electronic Communications in Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Stochastic Models 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Arkiv för Matematik 1 Bulletin of Mathematical Biology 1 Theory of Probability and its Applications 1 Dissertationes Mathematicae 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Kybernetika 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Combinatorica 1 Acta Mathematica Hungarica 1 Computers & Operations Research 1 Asia-Pacific Journal of Operational Research 1 Journal of the American Mathematical Society 1 Queueing Systems 1 Journal of the Ramanujan Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Games and Economic Behavior 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Discrete and Continuous Dynamical Systems 1 Data Mining and Knowledge Discovery 1 Journal of the European Mathematical Society (JEMS) 1 Methodology and Computing in Applied Probability 1 Living Reviews in Relativity 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Mathematical Biosciences and Engineering 1 Journal of Biological Dynamics 1 Advances in Data Analysis and Classification. ADAC 1 Probability Surveys 1 Computer Science Review 1 Special Matrices 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 28 Fields 137 Probability theory and stochastic processes (60-XX) 98 Combinatorics (05-XX) 49 Statistical mechanics, structure of matter (82-XX) 31 Operations research, mathematical programming (90-XX) 26 Biology and other natural sciences (92-XX) 21 Computer science (68-XX) 9 Statistics (62-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Systems theory; control (93-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.