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PUBLICATIONS OF BALÁZS RÁTH
Lecture notes:
Papers in pure mathematics:

Serguei Popov, Balazs Rath:
On decoupling inequalities and percolation of excursion sets of the Gaussian free field
(submitted)
arXived version

Alexander Drewitz, Balazs Rath, Artem Sapozhnikov:
On chemical distances and shape theorems in percolation models with longrange correlations
(accepted for publication at Journal of Mathematical Physics)
arXived version

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

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 120.
EJP version

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 93113, 2013.
arXived version

Balazs Rath, Artem Sapozhnikov:
On the transience of random interlacements
Electronic Communications in Probability , 16: 379391, 2011.
arXived version

Balazs Rath, Artem Sapozhnikov:
Connectivity properties of random interlacement and intersection of random walks
ALEA Latin American Journal of Probability and Mathematical Statistics , 9, 6783, 2012.
arXived version

Balazs Rath, Laszlo Szakacs:
Multigraph limit of the dense configuration model and the preferential attachment graph
Acta Math. Hun. vol. 136, no. 3, pp. 196221, 2012.
arXived version

Balazs Rath:
Time evolution of dense multigraph limits under
edgeconservative preferential attachment dynamics
Random Structures and Algorithms vol 41(3), 365390, 2012.
arXived version

Istvan Kolossvary and Balazs Rath:
Multigraph limits and exchangeability
Acta Math. Hun. vol. 130, no. 12, pp. 134, 2011.
arXived version

Balazs Rath:
Mean field frozen percolation
Journal of Statistical Physics vol. 137, no. 3, pp. 459499, 2009.
arXived version

Balazs Rath and Balint Toth:
ErdosRenyi Random graphs + forest fires = SelfOrganized Criticality
Electronic Journal of Probability 14:12901327, 2009
EJP version

Balint Felszeghy, Balazs Rath and Lajos Ronyai:
The lex game and some applications
J. Symbolic Computation 41:663681, 2006.
pdf
Papers in applied mathematics and nonrigorous papers:

Katherine A. Bold, Karthikeyan Rajendran, Balazs Rath, Ioannis G. Kevrekidis:
An equationfree approach to coarsegraining the dynamics of networks
(accepted for publication at Journal of Computational Dynamics) 2012.
arXived version

Balazs Gerencser, Balazs Rath, Gabor Tusnady:
Multifactorial inheritance with selection
Acta Math. Hun. DOI: 10.1007/s104740120248x, 2012.
link

Balazs Rath and Balint Toth:
Triangle percolation in mean field random graphs  with PDE
Journal of Statistical Physics vol. 131, no. 3, pp. 385391, 2008.
arXived version
MSc, PhD theses:

Balazs Rath:
Conformal invariance of critical percolation on the triangular lattice
(MSc thesis, supervisor: Balint Toth) 2005.
pdf

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)