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PUBLICATIONS OF BALÁZS RÁTH
Papers in pure mathematics:
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Alexander Drewitz, Balazs Rath, Artem Sapozhnikov:
On chemical distances and shape theorems in percolation models with long-range correlations
(submitted)
arXived version
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Alexander Drewitz, Balazs Rath, Artem Sapozhnikov:
Local percolative properties of the vacant set of random interlacements with small intensity
(to appear in Annales de l'Institut Henri Poincare)
arXived version
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Balazs Rath, Artem Sapozhnikov:
The effect of small quenched noise on connectivity properties of random interlacements
Electronic Journal of Probability, vol. 18, no. 4, Pages 1-20.
EJP version
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Carlos Hoppen, Yoshiharu Kohayakawa, Carlos Gustavo Moreira, Balazs Rath, Rudini Menezes Sampaio:
Limits of permutation sequences
Journal of Combinatorial Theory, Series B, Volume 103, Issue 1,
Pages 93-113, 2013.
arXived version
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Balazs Rath, Artem Sapozhnikov:
On the transience of random interlacements
Electronic Communications in Probability , 16: 379-391, 2011.
arXived version
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Balazs Rath, Artem Sapozhnikov:
Connectivity properties of random interlacement and intersection of random walks
ALEA Latin American Journal of Probability and Mathematical Statistics , 9, 67-83, 2012.
arXived version
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Balazs Rath, Laszlo Szakacs:
Multigraph limit of the dense configuration model and the preferential attachment graph
Acta Math. Hun. vol. 136, no. 3, pp. 196-221, 2012.
arXived version
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Balazs Rath:
Time evolution of dense multigraph limits under
edge-conservative preferential attachment dynamics
Random Structures and Algorithms vol 41(3), 365-390, 2012.
arXived version
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Istvan Kolossvary and Balazs Rath:
Multigraph limits and exchangeability
Acta Math. Hun. vol. 130, no. 1-2, pp. 1-34, 2011.
arXived version
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Balazs Rath:
Mean field frozen percolation
Journal of Statistical Physics vol. 137, no. 3, pp. 459-499, 2009.
arXived version
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Balazs Rath and Balint Toth:
Erdos-Renyi Random graphs + forest fires = Self-Organized Criticality
Electronic Journal of Probability 14:1290-1327, 2009
EJP version
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Balint Felszeghy, Balazs Rath and Lajos Ronyai:
The lex game and some applications
J. Symbolic Computation 41:663-681, 2006.
pdf
Papers in applied mathematics and non-rigorous papers:
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Katherine A. Bold, Karthikeyan Rajendran, Balazs Rath, Ioannis G. Kevrekidis:
An equation-free approach to coarse-graining the dynamics of networks
(accepted for publication at Journal of Computational Dynamics) 2012.
arXived version
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Balazs Gerencser, Balazs Rath, Gabor Tusnady:
Multifactorial inheritance with selection
Acta Math. Hun. DOI: 10.1007/s10474-012-0248-x, 2012.
link
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Balazs Rath and Balint Toth:
Triangle percolation in mean field random graphs -- with PDE
Journal of Statistical Physics vol. 131, no. 3, pp. 385-391, 2008.
arXived version
MSc, PhD theses:
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Balazs Rath: Conformal invariance of critical percolation on the triangular lattice
(MSc thesis, supervisor: Balint Toth) 2005.
pdf
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Balazs Rath:
Asymptotic behavior of random graphs evolving in time
(PhD thesis, supervisor: Balint Toth) 2010.
pdf
(forest fire + frozen percolation + edge reconnecting model, with many sketch proofs)