@article{MTMT:32766822,
	title = {Longer-term seeding effects on epidemic processes: a network approach},
	url = {https://m2.mtmt.hu/api/publication/32766822},
	author = {Ódor, Gergely and Czifra, Domonkos and Komjáthy, Júlia and Lovász, László and Karsai, Márton},
	doi = {10.1556/112.2021.00078},
	journal-iso = {SCI SEC},
	journal = {SCIENTIA ET SECURITAS},
	volume = {2},
	unique-id = {32766822},
	abstract = {In this paper we touch upon three phenomena observed in real life as well as in simulations; in one case, we state mathematical
		results about the appearance of the phenomenon on arbitrary graphs (networks) under rather general conditions. We discuss
		a phenomenon of critical fluctuations, demonstrating that an epidemic can behave very differently even if it runs on the same
		network, with the same transmission probabilities and started from the same initial seeds. We explore a connection between
		the geographic distribution and intensity of the spreading epidemic. We argue that the speed of the spread of an epidemic
		depends not only on the number of current infections, but also on their geographic distribution over a country. Through the
		observations of these phenomena we suggest a dependence of the final epidemic size on the geometric position of initial seeds
		of an epidemic process.},
	keywords = {PERCOLATION; Epidemic models; geometricnetworks; epidemic seeding; switchover phenomenon},
	year = {2022},
	eissn = {2732-2688},
	pages = {409-417},
	orcid-numbers = {Lovász, László/0000-0001-6596-0465; Karsai, Márton/0000-0001-5382-8950}
}

@{MTMT:30358959,
	title = {Modified box dimension of trees and hierarchical scale-free graphs},
	url = {https://m2.mtmt.hu/api/publication/30358959},
	author = {Komjáthy, Júlia and Molontay, Roland and Simon, Károly},
	booktitle = {Complex Networks 2018: The 7th International Conference on Complex Networks and Their Applications},
	unique-id = {30358959},
	year = {2018},
	pages = {290-293}
}

@inproceedings{MTMT:3123334,
	title = {Topics in Markov chains: Mixing and escape rate},
	url = {https://m2.mtmt.hu/api/publication/3123334},
	author = {Komjáthy, Júlia and Peres, Y},
	booktitle = {PROBABILITY AND STATISTICAL PHYSICS IN ST. PETERSBURG},
	doi = {10.1090/pspum/091/01539},
	unique-id = {3123334},
	abstract = {These are the notes for the minicourse on Markov chains delivered at the Saint Petersburg Summer School, June 2012. The main emphasis is on methods for estimating mixing times (for finite chains) and escape rates (for infinite chains). Lamplighter groups are key examples in both topics and the Varopolous-Carne long range estimate is useful in both settings.},
	keywords = {relaxation time; Random walk; RANDOM-WALKS; TIMES; Mixing time; Varopolous-Carne long range estimates; wreath product; generalized lamplighter walk},
	year = {2016},
	pages = {303-330}
}

@article{MTMT:2699301,
	title = {Degrees and distances in random and evolving Apollonian networks},
	url = {https://m2.mtmt.hu/api/publication/2699301},
	author = {Kolossváry, István and Komjáthy, Júlia and Vágó, Lajos},
	doi = {10.1017/apr.2016.32},
	journal-iso = {ADV APPL PROBAB},
	journal = {ADVANCES IN APPLIED PROBABILITY},
	volume = {48},
	unique-id = {2699301},
	issn = {0001-8678},
	year = {2016},
	eissn = {1475-6064},
	pages = {865-902}
}

@article{MTMT:2699300,
	title = {First Passage Percolation on Inhomogeneous Random Graphs},
	url = {https://m2.mtmt.hu/api/publication/2699300},
	author = {Kolossváry, István and Komjáthy, Júlia},
	doi = {10.1239/aap/1435236989},
	journal-iso = {ADV APPL PROBAB},
	journal = {ADVANCES IN APPLIED PROBABILITY},
	volume = {47},
	unique-id = {2699300},
	issn = {0001-8678},
	keywords = {doktori iskola: Matematika- és Számítástudományok},
	year = {2015},
	eissn = {1475-6064},
	pages = {589-610}
}

@article{MTMT:2688064,
	title = {Mixing and relaxation time for random walk on wreath product graphs},
	url = {https://m2.mtmt.hu/api/publication/2688064},
	author = {Komjáthy, Júlia and Yuval, Peres},
	doi = {10.1214/EJP.v18-2321},
	journal-iso = {ELECTRON J PROBAB},
	journal = {ELECTRONIC JOURNAL OF PROBABILITY},
	volume = {18},
	unique-id = {2688064},
	issn = {1083-6489},
	year = {2013},
	eissn = {1083-6489},
	pages = {1-23}
}

@misc{MTMT:2690159,
	title = {A generalization of Barabasi priority model of human dynamics},
	url = {https://m2.mtmt.hu/api/publication/2690159},
	author = {Komjáthy, Júlia and Simon, Károly and Vágó, Lajos},
	unique-id = {2690159},
	keywords = {doktori iskola: Matematika- és Számítástudományok},
	year = {2012}
}

@misc{MTMT:2686757,
	title = {Uniform mixing time for Random Walk on Lamplighter Graphs},
	url = {https://m2.mtmt.hu/api/publication/2686757},
	author = {Komjáthy, Júlia and Miller, J and Peres, Y},
	unique-id = {2686757},
	keywords = {doktori iskola: Matematika- és Számítástudományok},
	year = {2012},
	pages = {1-19}
}

@article{MTMT:2215761,
	title = {Fluctuation bounds in the exponential bricklayers process},
	url = {https://m2.mtmt.hu/api/publication/2215761},
	author = {Balázs, Márton and Komjáthy, Júlia and Timo, Seppäläinen},
	doi = {10.1007/s10955-012-0470-5},
	journal-iso = {J STAT PHYS},
	journal = {JOURNAL OF STATISTICAL PHYSICS},
	volume = {147},
	unique-id = {2215761},
	issn = {0022-4715},
	abstract = {This paper is the continuation of our earlier paper, where we proved t^{1/3}-order of current fluctuations across the characteristics in a class of one dimensional interacting systems with one conserved quantity. We also claimed two models with concave hydrodynamic flux which satisfied the assumptions which made our proof work. In the present note we show that the totally asymmetric exponential bricklayers process also satisfies these assumptions. Hence this is the first example with convex hydrodynamics of a model with t^{1/3}-order current fluctuations across the characteristics. As such, it further supports the idea of universality regarding this scaling.},
	year = {2012},
	eissn = {1572-9613},
	pages = {35-62}
}

@article{MTMT:2215759,
	title = {Microscopic concavity and fluctuation bounds in a class of deposition processes},
	url = {https://m2.mtmt.hu/api/publication/2215759},
	author = {Balázs, Márton and Komjáthy, Júlia and Timo, Seppäläinen},
	doi = {10.1214/11-AIHP415},
	journal-iso = {ANN I H POINCARE-PR},
	journal = {ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES},
	volume = {48},
	unique-id = {2215759},
	issn = {0246-0203},
	year = {2012},
	eissn = {1778-7017},
	pages = {151-187}
}