Malwina Luczak

2024

A Note on the Markovian SIR Epidemic on a Random Graph with Given Degrees

Luczak, M., 1 Jun 2024, In: Journal of Theoretical Probability. 37, p. 1039–1051

Research output: Contribution to journal › Article › peer-review

Open Access

2022

Long-term concentration of measure and cut-off

Luczak, M., Barbour, A. & Brightwell, G., 2022, In: Stochastic Processes and their Applications.

Research output: Contribution to journal › Article › peer-review

Open Access

2020

Extinction time for the weaker of two competing SIS epidemics

Lopes, F. & Luczak, M., Dec 2020, In: Annals of Applied Probability. 30, 6, p. 2880-2922 43 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2019

Component structure of the configuration model: Barely supercritical case

van der Hofstad, R., Janson, S. & Luczak, M., 2019, In: Random Structures & Algorithms. 55, 1, p. 3-55 53 p.

Research output: Contribution to journal › Article › peer-review

The second largest component in the supercritical 2D Hamming graph

van der Hofstad, R., Luczak, M. J. & Spencer, J., 21 Oct 2019, In: Random Structures & Algorithms. 36, 1, p. 80-89 10 p.

Research output: Contribution to journal › Article › peer-review

2018

Extinction times in the subcritical stochastic SIS logistic epidemic

Brightwell, G., House, T. & Luczak, M., Aug 2018, In: Journal of Mathematical Biology. 77, 2, p. 1-39 39 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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Multivariate approximation in total variation, I: Equilibrium distributions of Markov jump processes

Barbour, A. D., Luczak, M. J. & Xia, A., 1 May 2018, In: Annals of Probability. 46, 3, p. 1351-1404 54 p.

Research output: Contribution to journal › Article › peer-review

Multivariate approximation in total variation, II: Discrete normal approximation

Barbour, A. D., Luczak, M. J. & Xia, A., 1 May 2018, In: Annals of Probability. 46, 3, p. 1405-1440 36 p.

Research output: Contribution to journal › Article › peer-review

The Supermarket Model with Bounded Queue Lengths in Equilibrium

Brightwell, G., Fairthorne, M. & Luczak, M. J., 28 Apr 2018, In: Journal of Statistical Physics. 173, p. 1149–1194 46 p.

Research output: Contribution to journal › Article › peer-review

2017

Near-critical SIR epidemic on a random graph with given degrees

Janson, S., Luczak, M., Windridge, P. & House, T., 1 Mar 2017, In: Journal of Mathematical Biology. 74, 0, p. 843–886

Research output: Contribution to journal › Article › peer-review

Open Access

The Greedy Independent Set in a Random Graph with Given Degrees

Brightwell, G., Janson, S. & Luczak, M., Dec 2017, In: Random Structures & Algorithms. 51, 4, p. 565-586 22 p.

Research output: Contribution to journal › Article › peer-review

2015

Balanced routing of random calls

Luczak, M. J. & McDiarmid, C., 1 Jun 2015, In: Annals of Applied Probability. 25, 3, p. 1279-1324 46 p.

Research output: Contribution to journal › Article › peer-review

Individual and patch behaviour in structured metapopulation models

Barbour, A. D. & Luczak, M. J., 14 Sept 2015, In: Journal of Mathematical Biology. 71, 3, p. 713-733 21 p.

Research output: Contribution to journal › Article › peer-review

2014

Law of large numbers for the SIR epidemic on a random graph with given degrees

Janson, S., Luczak, M. & Windridge, P., 1 Dec 2014, In: Random Structures & Algorithms. 45, 4, p. 726-763 38 p.

Research output: Contribution to journal › Article › peer-review

2013

Averaging over fast variables in the fluid limit for markov chains: Application to the supermarket model with memory

Luczak, M. J. & Norris, J. R., Jun 2013, In: Annals of Applied Probability. 23, 3, p. 957-986 30 p.

Research output: Contribution to journal › Article › peer-review

2012

A law of large numbers approximation for Markov population processes with countably many types

Barbour, A. D. & Luczak, M. J., Aug 2012, In: Probability Theory and Related Fields. 153, 3-4, p. 727-757 31 p.

Research output: Contribution to journal › Article › peer-review

Central limit approximations for Markov population processes with countably many types

Barbour, A. D. & Luczak, M. J., 2012, In: Electronic Journal of Probability. 17, p. 1-16 16 p.

Research output: Contribution to journal › Article › peer-review

Order-invariant measures on fixed causal sets

Brightwell, G. & Luczak, M., 19 Jan 2012, In: Combinatorics Probability & Computing. 21, 3, p. 330-357 28 p.

Research output: Contribution to journal › Article › peer-review

2011

Order-Invariant measures on causal sets

Brightwell, G. & Luczak, M., Aug 2011, In: Annals of Applied Probability. 21, 4, p. 1493-1536 44 p.

Research output: Contribution to journal › Article › peer-review

2010

Random subgraphs of the 2D Hamming graph: The supercritical phase

van der Hofstad, R. & Luczak, M. J., Feb 2010, In: Probability Theory and Related Fields. 147, 1, p. 1-41 41 p.

Research output: Contribution to journal › Article › peer-review

2009

A new approach to the giant component problem

Janson, S. & Luczak, M. J., Mar 2009, In: Random Structures & Algorithms. 34, 2, p. 197-216 20 p.

Research output: Contribution to journal › Article › peer-review

Glauber dynamics for the mean-field Ising Model: Cut-off, critical power law, and metastability

Levin, D. A., Luczak, M. J. & Peres, Y., Oct 2009, In: Probability Theory and Related Fields. 146, 1, p. 223-265 43 p.

Research output: Contribution to journal › Article › peer-review

2008

Asymptotic normality of the k-core in random graphs

Janson, S. & Luczak, M. J., Jun 2008, In: Annals of Applied Probability. 18, 3, p. 1085 - 1137 53 p.

Research output: Contribution to journal › Article › peer-review

Laws of large numbers for epidemic models with countably many types

Barbour, A. D. & Luczak, M. J., Dec 2008, In: Annals of Applied Probability. 18, 6, p. 2208-2238 31 p.

Research output: Contribution to journal › Article › peer-review

Susceptibility in subcritical random graphs

Janson, S. & Luczak, M. J., 2008, In: Journal of Mathematical Physics. 49, 12, 24 p., 125207.

Research output: Contribution to journal › Article › peer-review

2007

Asymptotic distributions and chaos for the supermarket model

Luczak, M. J. & Mc Diarmid, C., 1 Jan 2007, In: Electronic Journal of Probability. 12, p. 75-99 25 p.

Research output: Contribution to journal › Article › peer-review

2006

On the maximum queue length in the supermarket model

Luczak, M. J. & Mcdiarmid, C., Mar 2006, In: Annals of Probability. 34, 2, p. 493-527 35 p.

Research output: Contribution to journal › Article › peer-review

2004

Building uniformly random subtrees

Luczak, M. & Winkler, P., 27 Apr 2004, In: Random Structures & Algorithms. 24, 4, p. 420-443 24 p.

Research output: Contribution to journal › Article › peer-review

2003

Concentration for locally acting permutations

Luczak, M. J. & Mcdiarmid, C., 6 Apr 2003, In: Discrete Mathematics. 265, 1-3, p. 159-171 13 p.

Research output: Contribution to journal › Article › peer-review

On-line routing of random calls in networks

Luczak, M. J., McDiarmid, C. & Upfal, E., Mar 2003, In: Probability Theory and Related Fields. 125, 4, p. 457-482 26 p.

Research output: Contribution to journal › Article › peer-review

2002

Erratum: Optimal arrangement of data in a tree directory: (Discrete Applied Mathematics (2001) 113 (243-253))

Luczak, M. J. & Noble, S. D., 2002, In: Discrete Applied Mathematics. 121, 1-3, p. 307-315 9 p.

Research output: Contribution to journal › Article › peer-review

2001

Optimal arrangement of data in a tree directory

Luczak, M. J. & Noble, S. D., 15 Oct 2001, In: Discrete Applied Mathematics. 113, 2-3, p. 243-253 11 p.

Research output: Contribution to journal › Article › peer-review

2000

Bisecting sparse random graphs

Luczak, M. J. & McDiarmid, C., 4 Dec 2000, In: Random Structures & Algorithms. 18, 1, p. 31-38 8 p.

Research output: Contribution to journal › Article › peer-review

Malwina Luczak

Research output

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