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PUBLICATIONS OF BALÁZS RÁTH
Link to my MathSciNet publication list:
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Link to my Google Scholar publication list:
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Lecture notes:
Papers in pure mathematics:
 Dániel Keliger, Balázs Ráth:
Concentration and mean field approximation results for Markov processes on large networks
(submitted)
arXived version
 Márton Borbényi, Balázs Ráth, Sándor Rokob:
Random interlacement is a factor of i.i.d.
Electronic Journal of Probability 28: 145 (2023).
EJP version
 Balazs Rath, Jan Swart, Marton Szoke:
A phase transition between endogeny and nonendogeny
Electronic Journal of Probability 27: 143 (2022). DOI: 10.1214/22EJP872
EJP version
 Balazs Rath, Daniel Valesin:
On the threshold of spreadout contact process percolation
Ann. Inst. H. Poincaré Probab. Statist. 58(3): 18081848 (August 2022). DOI: 10.1214/21AIHP1214
journal webpage of paper
,
arXived version
 Balazs Rath, Jan Swart, Tamas Terpai:
Frozen percolation on the binary tree is nonendogenous
Annals of Probability 2021, Vol. 49 (5) 2272  2316.
PDF
,
journal webpage of paper
 Edward Crane, Balazs Rath, Dominic Yeo:
Age evolution in the mean field forest fire model via multitype branching processes
Annals of Probability 2021, Vol. 49, No. 4, 20312075.
PDF
,
journal webpage of paper

Balazs Rath:
A momentgenerating formula for ErdosRenyi component sizes.
Electronic Communications in Probability 2018, Vol. 23, paper no. 24, 114.
ECP version

Balazs Rath, Daniel Valesin:
On the threshold of spreadout voter model percolation.
Electron. Commun. Probab. Volume 22 (2017), paper no. 50, 12 pp.
ECP version

James Martin, Balazs Rath:
Rigid representations of the multiplicative coalescent with linear deletion.
Electron. J. Probab. Volume 22 (2017), paper no. 83, 47 pp.
EJP version

Balazs Rath:
Feller property of the multiplicative coalescent with linear deletion.
Bernoulli, Vol. 25, No. 1, 221240. (2019)
Published version

Balazs Rath, Daniel Valesin:
Percolation on the stationary distributions of the voter model.
Ann. Probab.
Volume 45, Number 3 (2017), 18991951.
arXived version

Balazs Rath:
A short proof of the phase transition for the vacant set of random interlacements.
Electron. Comm. Probab. 20 (3), 111, (2015)
ECP version

Serguei Popov, Balazs Rath:
On decoupling inequalities and percolation of excursion sets of the Gaussian free field
J. of Stat. Phys., April 2015, Volume 159, Issue 2, pp 312320
arXived version

Alexander Drewitz, Balazs Rath, Artem Sapozhnikov:
On chemical distances and shape theorems in percolation models with longrange correlations
Journal of Mathematical Physics 55, 083307, 2014
arXived version

Alexander Drewitz, Balazs Rath, Artem Sapozhnikov:
Local percolative properties of the vacant set of random interlacements with small intensity
Annales de l'Institut Henri Poincare, Vol. 50, No. 4, 1165–1197, 2014.
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:

Xiangyi Meng, Bingjie Hao, Balázs Ráth, István A. Kovács:
Path Percolation in Quantum Communication Networks
(submitted), 2024,
arXived version

Ivan Bonamassa, Balázs Ráth, Márton Pósfai, Miklós Abért, Dániel Keliger, Balázs Szegedy, János Kertész, László Lovász, AlbertLászló Barabási:
Bundling by volume exclusion in nonequilibrium spaghetti
(submitted), 2023,
arXived version

Vladas Sidoravicius, Balazs Rath:
Onedimensional Multiparticle DLA  a PDE approach
(withdrawn), 2017,
arXived version

Katherine A. Bold, Karthikeyan Rajendran, Balazs Rath, Ioannis G. Kevrekidis:
An equationfree approach to coarsegraining the dynamics of networks
Journal of Computational Dynamics 1.1 (2014): 111134
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)