Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Malwina J. Luczak"'
Publikováno v:
Random Structures & Algorithms. 55:3-55
We study near-critical behavior in the configuration model. Let D-n be the degree of a random vertex and nu n=E[Dn(Dn-1)]/E[Dn]; we consider the barely supercritical regime, where nu(n)-> 1 as n ...
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https://explore.openaire.eu/search/publication?articleId=doi_________::4ebb4bc87b757a2486d2d8667bf9a97e
https://doi.org/10.1002/rsa.20837
https://doi.org/10.1002/rsa.20837
Publikováno v:
Random Structures & Algorithms. 51:565-586
We analyse the size of an independent set in a random graph on $n$ vertices with specified vertex degrees, constructed via a simple greedy algorithm: order the vertices arbitrarily, and, for each vertex in turn, place it in the independent set unless
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::210e7da8f70991912b64b2ad4cae6bc5
https://doi.org/10.1002/rsa.20716
https://doi.org/10.1002/rsa.20716
Publikováno v:
Brightwell, G, House, T & Luczak, M 2018, ' Extinction times in the subcritical stochastic SIS logistic epidemic ', Journal of Mathematical Biology, vol. 77, no. 2, pp. 1-39 . https://doi.org/10.1007/s00285-018-1210-5
Many real epidemics of an infectious disease are not straightforwardly super- or sub-critical, and the understanding of epidemic models that exhibit such complexity has been identified as a priority for theoretical work. We provide insights into the
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http://www.scopus.com/inward/record.url?scp=85044943701&partnerID=8YFLogxK
http://www.scopus.com/inward/record.url?scp=85044943701&partnerID=8YFLogxK
Multivariate approximation in total variation, I: Equilibrium distributions of Markov jump processes
Publikováno v:
Ann. Probab. 46, no. 3 (2018), 1351-1404
For integer valued random variables, the translated Poisson distributions form a flexible family for approximation in total variation, in much the same way that the normal family is used for approximation in Kolmogorov distance. Using the Stein--Chen
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https://www.zora.uzh.ch/id/eprint/157975/
https://www.zora.uzh.ch/id/eprint/157975/
Publikováno v:
Ann. Probab. 46, no. 3 (2018), 1405-1440
The paper applies the theory developed in Part I to the discrete normal approximation in total variation of random vectors in ${\mathbb Z}^d$. We illustrate the use of the method for sums of independent integer valued random vectors, and for random v
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https://www.zora.uzh.ch/id/eprint/157976/
https://www.zora.uzh.ch/id/eprint/157976/
Autor:
Malwina J. Luczak, Fabio Lopes
Publikováno v:
Ann. Appl. Probab. 30, no. 6 (2020), 2880-2922
We consider a simple stochastic model for the spread of a disease caused by two virus strains in a closed homogeneously mixing population of size N. The spread of each strain in the absence of the other one is described by the stochastic logistic SIS
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2629c08ba988b265c06d6c084237f376
Autor:
Malwina J. Luczak, Andrew Barbour
Publikováno v:
Journal of Mathematical Biology. 71:713-733
Density dependent Markov population processes with countably many types can often be well approximated over finite time intervals by the solution of the differential equations that describe their average drift, provided that the total population size
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e17e5e0860bce296d88b885e7aeba20e
https://doi.org/10.1007/s00285-014-0834-3
https://doi.org/10.1007/s00285-014-0834-3
Publikováno v:
Janson, S, Luczak, M, Windridge, P & House, T 2016, ' Near-critical SIR epidemic on a random graph with given degrees ', Journal of Mathematical Biology, vol. 74, no. 0, pp. 843–886 . https://doi.org/10.1007/s00285-016-1043-z
Journal of Mathematical Biology
Journal of Mathematical Biology
Emergence of new diseases and elimination of existing diseases is a key public health issue. In mathematical models of epidemics, such phenomena involve the process of infections and recoveries passing through a critical threshold where the basic rep
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a11696641a44e995fa509238e2d75a76
https://doi.org/10.1007/s00285-016-1043-z
https://doi.org/10.1007/s00285-016-1043-z
Autor:
Colin McDiarmid, Malwina J. Luczak
Talagrand (Publ. Math. Inst. Hautes Etudes Sci. 81 (1995) 73) gave a concentration inequality concerning permutations picked uniformly at random from a symmetric group, and this was extended in McDiarmid (Combin. Probab. Comput. 11 (2002) 163) to han
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https://ora.ox.ac.uk/objects/uuid:7d626c8f-650e-4873-aa3b-1a001ddbb50b
https://ora.ox.ac.uk/objects/uuid:7d626c8f-650e-4873-aa3b-1a001ddbb50b
Autor:
Graham Brightwell, Malwina J. Luczak
Publikováno v:
Recent Trends in Combinatorics ISBN: 9783319242965
The causal set approach to quantum gravity is based on the hypothesis that the underlying structure of spacetime is that of a random partial order. We survey some of the interesting mathematics that has arisen in connection with the causal set hypoth
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https://doi.org/10.1007/978-3-319-24298-9_15
https://doi.org/10.1007/978-3-319-24298-9_15