## Luczak, Malwina J.

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 Author ID: luczak.malwina-j Published as: Luczak, Malwina J.; Luczak, Malwina; Luczak, M. J.; Łuczak, Malwina External Links: MGP · ORCID · Wikidata
 Documents Indexed: 39 Publications since 2001 Co-Authors: 18 Co-Authors with 36 Joint Publications 1,001 Co-Co-Authors
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### Co-Authors

 3 single-authored 8 Janson, Svante 7 Brightwell, Graham R. 7 McDiarmid, Colin J. H. 6 Barbour, Andrew David 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 Lopes, Fabio Marcellus 1 Łuczak, Tomasz 1 Noble, Steven Derek 1 Peres, Yuval 1 Spencer, Joel H. 1 Upfal, Eli 1 Winkler, Peter M.
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### Serials

 9 Random Structures & Algorithms 8 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
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### Fields

 27 Probability theory and stochastic processes (60-XX) 17 Combinatorics (05-XX) 7 Biology and other natural sciences (92-XX) 6 Operations research, mathematical programming (90-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)

### Citations contained in zbMATH Open

35 Publications have been cited 318 times in 245 Documents Cited by Year
Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability. Zbl 1187.82076
Levin, David A.; Luczak, Malwina J.; Peres, Yuval
2010
A new approach to the giant component problem. Zbl 1177.05110
Janson, Svante; Luczak, Malwina J.
2009
A simple solution to the $$k$$-core problem. Zbl 1113.05091
Janson, Svante; Luczak, Malwina J.
2007
Law of large numbers for the SIR epidemic on a random graph with given degrees. Zbl 1328.05170
Janson, Svante; Luczak, Malwina; Windridge, Peter
2014
On the maximum queue length in the supermarket model. Zbl 1102.60083
Luczak, Malwina J.; McDiarmid, Colin
2006
Asymptotic normality of the $$k$$-core in random graphs. Zbl 1157.05047
Janson, Svante; Luczak, Malwina J.
2008
Building uniformly random subtrees. Zbl 1050.60007
Luczak, Malwina; Winkler, Peter
2004
Random subgraphs of the 2D Hamming graph: The supercritical phase. Zbl 1188.05141
van der Hofstad, Remco; Luczak, Malwina J.
2010
On the power of two choices: balls and bins in continuous time. Zbl 1079.60016
Luczak, Malwina J.; McDiarmid, Colin
2005
Susceptibility in subcritical random graphs. Zbl 1159.81324
Janson, Svante; Luczak, Malwina J.
2008
Asymptotic distributions and chaos for the supermarket model. Zbl 1131.60005
Luczak, Malwina J.; McDiarmid, Colin
2007
Strong approximation for the supermarket model. Zbl 1080.60086
Luczak, Malwina J.; Norris, James
2005
Bisecting sparse random graphs. Zbl 0968.05071
Luczak, Malwina J.; McDiarmid, Colin
2001
The phase transition in the cluster-scaled model of a random graph. Zbl 1089.05066
Łuczak, Malwina; Łuczak, Tomasz
2006
Concentration of measure and mixing for Markov chains. Zbl 1357.60075
Luczak, Malwina J.
2008
Laws of large numbers for epidemic models with countably many types. Zbl 1197.92039
Barbour, A. D.; Luczak, M. J.
2008
Multivariate approximation in total variation. II: Discrete normal approximation. Zbl 1393.62008
Barbour, A. D.; Luczak, M. J.; Xia, A.
2018
Order-invariant measures on causal sets. Zbl 1274.60026
Brightwell, Graham; Luczak, Malwina
2011
Concentration for locally acting permutations. Zbl 1025.60003
Luczak, Malwina J.; McDiarmid, Colin
2003
On-line routing of random calls in networks. Zbl 1028.90009
Luczak, Malwina J.; McDiarmid, Colin; Upfal, Eli
2003
Component structure of the configuration model: barely supercritical case. Zbl 1425.05145
van der Hofstad, Remco; Janson, Svante; Luczak, Malwina
2019
Central limit approximations for Markov population processes with countably many types. Zbl 1284.92079
Barbour, Andrew; Luczak, Malwina
2012
A law of large numbers approximation for Markov population processes with countably many types. Zbl 1395.60083
Barbour, A. D.; Luczak, M. J.
2012
Multivariate approximation in total variation. I: Equilibrium distributions of Markov jump processes. Zbl 1393.62007
Barbour, A. D.; Luczak, M. J.; Xia, A.
2018
Averaging over fast variables in the fluid limit for Markov chains: Application to the supermarket model with memory. Zbl 1274.60244
Luczak, M. J.; Norris, J. R.
2013
Order-invariant measures on fixed causal sets. Zbl 1260.06003
Brightwell, Graham; Luczak, Malwina
2012
Extinction times in the subcritical stochastic SIS logistic epidemic. Zbl 1394.60080
Brightwell, Graham; House, Thomas; Luczak, Malwina
2018
The greedy independent set in a random graph with given degrees. Zbl 1386.05175
Brightwell, Graham; Janson, Svante; Luczak, Malwina
2017
Vertices of high degree in the preferential attachment tree. Zbl 1244.05197
Brightwell, Graham; Luczak, Malwina
2012
Individual and patch behaviour in structured metapopulation models. Zbl 1334.92327
Barbour, A. D.; Luczak, M. J.
2015
The mathematics of causal sets. Zbl 1391.60016
Brightwell, Graham; Luczak, Malwina
2016
A quantiative law of large numbers via exponential martingales. Zbl 1038.60068
Luczak, Malwina J.
2003
The second largest component in the supercritical 2D Hamming graph. Zbl 1208.05139
van der Hofstad, Remco; Luczak, Malwina J.; Spencer, Joel
2010
The supermarket model with bounded queue lengths in equilibrium. Zbl 1403.60075
Brightwell, Graham; Fairthorne, Marianne; Luczak, Malwina J.
2018
Near-critical SIR epidemic on a random graph with given degrees. Zbl 1358.05259
Janson, Svante; Luczak, Malwina; Windridge, Peter; House, Thomas
2017
Component structure of the configuration model: barely supercritical case. Zbl 1425.05145
van der Hofstad, Remco; Janson, Svante; Luczak, Malwina
2019
Multivariate approximation in total variation. II: Discrete normal approximation. Zbl 1393.62008
Barbour, A. D.; Luczak, M. J.; Xia, A.
2018
Multivariate approximation in total variation. I: Equilibrium distributions of Markov jump processes. Zbl 1393.62007
Barbour, A. D.; Luczak, M. J.; Xia, A.
2018
Extinction times in the subcritical stochastic SIS logistic epidemic. Zbl 1394.60080
Brightwell, Graham; House, Thomas; Luczak, Malwina
2018
The supermarket model with bounded queue lengths in equilibrium. Zbl 1403.60075
Brightwell, Graham; Fairthorne, Marianne; Luczak, Malwina J.
2018
The greedy independent set in a random graph with given degrees. Zbl 1386.05175
Brightwell, Graham; Janson, Svante; Luczak, Malwina
2017
Near-critical SIR epidemic on a random graph with given degrees. Zbl 1358.05259
Janson, Svante; Luczak, Malwina; Windridge, Peter; House, Thomas
2017
The mathematics of causal sets. Zbl 1391.60016
Brightwell, Graham; Luczak, Malwina
2016
Individual and patch behaviour in structured metapopulation models. Zbl 1334.92327
Barbour, A. D.; Luczak, M. J.
2015
Law of large numbers for the SIR epidemic on a random graph with given degrees. Zbl 1328.05170
Janson, Svante; Luczak, Malwina; Windridge, Peter
2014
Averaging over fast variables in the fluid limit for Markov chains: Application to the supermarket model with memory. Zbl 1274.60244
Luczak, M. J.; Norris, J. R.
2013
Central limit approximations for Markov population processes with countably many types. Zbl 1284.92079
Barbour, Andrew; Luczak, Malwina
2012
A law of large numbers approximation for Markov population processes with countably many types. Zbl 1395.60083
Barbour, A. D.; Luczak, M. J.
2012
Order-invariant measures on fixed causal sets. Zbl 1260.06003
Brightwell, Graham; Luczak, Malwina
2012
Vertices of high degree in the preferential attachment tree. Zbl 1244.05197
Brightwell, Graham; Luczak, Malwina
2012
Order-invariant measures on causal sets. Zbl 1274.60026
Brightwell, Graham; Luczak, Malwina
2011
Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability. Zbl 1187.82076
Levin, David A.; Luczak, Malwina J.; Peres, Yuval
2010
Random subgraphs of the 2D Hamming graph: The supercritical phase. Zbl 1188.05141
van der Hofstad, Remco; Luczak, Malwina J.
2010
The second largest component in the supercritical 2D Hamming graph. Zbl 1208.05139
van der Hofstad, Remco; Luczak, Malwina J.; Spencer, Joel
2010
A new approach to the giant component problem. Zbl 1177.05110
Janson, Svante; Luczak, Malwina J.
2009
Asymptotic normality of the $$k$$-core in random graphs. Zbl 1157.05047
Janson, Svante; Luczak, Malwina J.
2008
Susceptibility in subcritical random graphs. Zbl 1159.81324
Janson, Svante; Luczak, Malwina J.
2008
Concentration of measure and mixing for Markov chains. Zbl 1357.60075
Luczak, Malwina J.
2008
Laws of large numbers for epidemic models with countably many types. Zbl 1197.92039
Barbour, A. D.; Luczak, M. J.
2008
A simple solution to the $$k$$-core problem. Zbl 1113.05091
Janson, Svante; Luczak, Malwina J.
2007
Asymptotic distributions and chaos for the supermarket model. Zbl 1131.60005
Luczak, Malwina J.; McDiarmid, Colin
2007
On the maximum queue length in the supermarket model. Zbl 1102.60083
Luczak, Malwina J.; McDiarmid, Colin
2006
The phase transition in the cluster-scaled model of a random graph. Zbl 1089.05066
Łuczak, Malwina; Łuczak, Tomasz
2006
On the power of two choices: balls and bins in continuous time. Zbl 1079.60016
Luczak, Malwina J.; McDiarmid, Colin
2005
Strong approximation for the supermarket model. Zbl 1080.60086
Luczak, Malwina J.; Norris, James
2005
Building uniformly random subtrees. Zbl 1050.60007
Luczak, Malwina; Winkler, Peter
2004
Concentration for locally acting permutations. Zbl 1025.60003
Luczak, Malwina J.; McDiarmid, Colin
2003
On-line routing of random calls in networks. Zbl 1028.90009
Luczak, Malwina J.; McDiarmid, Colin; Upfal, Eli
2003
A quantiative law of large numbers via exponential martingales. Zbl 1038.60068
Luczak, Malwina J.
2003
Bisecting sparse random graphs. Zbl 0968.05071
Luczak, Malwina J.; McDiarmid, Colin
2001
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### Cited by 354 Authors

 20 Luczak, Malwina J. 16 Janson, Svante 16 van der Hofstad, Remco W. 11 Lubetzky, Eyal 10 Peres, Yuval 7 Barbour, Andrew David 7 Riordan, Oliver Maxim 6 Bhamidi, Shankar 6 Bollobás, Béla 6 Ding, Jian 6 Sly, Allan 6 van Leeuwaarden, Johan S. H. 5 Dhara, Souvik 5 Komjáthy, Júlia 5 McDiarmid, Colin J. H. 5 Nachmias, Asaf 4 Gheissari, Reza 4 Li, Quanlin 4 Sen, Sanchayan 4 Xia, Aihua 3 Addario-Berry, Louigi 3 Auletta, Vincenzo 3 Ball, Frank G. 3 Bramson, Maury D. 3 Brightwell, Graham R. 3 Budhiraja, Amarjit S. 3 Deijfen, Maria 3 Ferraioli, Diodato 3 Kang, Mihyun 3 Kovchegov, Yevgeniy V. 3 Lelarge, Marc 3 Leung, Ka Yin 3 Mcvinish, Ross S. 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 Trapman, Pieter 3 Windridge, Peter 2 Adamczak, Radosław 2 Amini, Hamed 2 Bianchi, Alessandra 2 Blanca, Antonio 2 Borst, Sem C. 2 Britton, Tom 2 Burch, Mark G. 2 Černý, Jiří 2 Chatterjee, Sourav 2 Coja-Oghlan, Amin 2 Cooley, Oliver 2 Dai, Guirong 2 Diekmann, Odo 2 Dowker, Fay 2 Federico, Lorenzo 2 Fountoulakis, Nikolaos 2 Goldschmidt, Christina 2 Hodgkinson, Liam 2 House, Thomas 2 Hulshof, Tim 2 Jacobsen, Karly A. 2 Jonckheere, Matthieu 2 Joos, Felix Claudius 2 Kaur, Gursharn 2 Kiss, István Z. 2 Kotowski, Michał 2 Lu, Yi 2 Lui, John C. S. 2 Lyons, Russell 2 Martinelli, Fabio 2 Menshikov, Mikhail V. 2 Norris, James R. 2 Paulin, Daniel 2 Perarnau, Guillem 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 Simon, Peter L. 2 Skubch, Kathrin 2 Štefankovič, Daniel 2 Tien, Joseph H. 2 Vachkovskaia, Marina 2 Warnke, Lutz 2 Whiting, Philip A. 2 Zalel, Stav 1 Acharyya, Rupam 1 Achlioptas, Dimitris 1 Adriaans, Erwin 1 Aghajani, Reza 1 Angel, Omer 1 Anselmi, Jonatha 1 Athreya, Siva R. 1 Backhausz, Ágnes M. ...and 254 more Authors
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### Cited in 81 Serials

 26 The Annals of Applied Probability 20 Journal of Statistical Physics 17 Combinatorics, Probability and Computing 16 Random Structures & Algorithms 8 Communications in Mathematical Physics 8 Journal of Mathematical Biology 8 Probability Theory and Related Fields 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 The Annals of Probability 7 Journal of Applied Probability 7 Stochastic Processes and their Applications 7 Electronic Journal of Probability 6 Bernoulli 3 Journal of Mathematical Physics 3 Journal of Combinatorial Theory. Series B 3 Journal of Functional Analysis 3 Algorithmica 3 Stochastic Systems 2 Classical and Quantum Gravity 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 2 Internet Mathematics 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 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 Mathematical Biosciences 1 Physica A 1 Physics Reports 1 Arkiv för Matematik 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Applied Mathematics and Optimization 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 The Electronic Journal of Combinatorics 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 Journal of Machine Learning Research (JMLR) 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 Science China. Mathematics 1 Dynamic Games and Applications 1 Computer Science Review 1 Special Matrices 1 SIAM Journal on Mathematics of Data Science
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### Cited in 26 Fields

 164 Probability theory and stochastic processes (60-XX) 123 Combinatorics (05-XX) 58 Statistical mechanics, structure of matter (82-XX) 34 Operations research, mathematical programming (90-XX) 31 Biology and other natural sciences (92-XX) 23 Computer science (68-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Statistics (62-XX) 6 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Partial differential equations (35-XX) 3 Convex and discrete geometry (52-XX) 3 Relativity and gravitational theory (83-XX) 3 Systems theory; control (93-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-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 Fluid mechanics (76-XX)

### Wikidata Timeline

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