TY  - JOUR
AU  - Ódor, Gergely
AU  - Czifra, Domonkos
AU  - Komjáthy, Júlia
AU  - Lovász, László
AU  - Karsai, Márton
TI  - Longer-term seeding effects on epidemic processes: a network approach
JF  - SCIENTIA ET SECURITAS
J2  - SCI SEC
VL  - 2
PY  - 2022
IS  - 4
SP  - 409
EP  - 417
PG  - 9
SN  - 2732-2688
DO  - 10.1556/112.2021.00078
UR  - https://m2.mtmt.hu/api/publication/32766822
ID  - 32766822
N1  - Kötetszámozás: Vol 2 (2021), online megjelenés: 2022. 03.
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Komjáthy, Júlia
AU  - Molontay, Roland
AU  - Simon, Károly
ED  - Cherifi, H
ED  - Aiello, L M
ED  - Cherifi, C
ED  - Lio, P
ED  - Lambiotte, R
ED  - Rocha Indiana, L M
TI  - Modified box dimension of trees and hierarchical scale-free graphs
T2  - Complex Networks 2018: The 7th International Conference on Complex Networks and Their Applications
PB  - University of Cambridge
CY  - Cambridge
SN  - 9782955705025
PY  - 2018
SP  - 290
EP  - 293
PG  - 4
UR  - https://m2.mtmt.hu/api/publication/30358959
ID  - 30358959
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Komjáthy, Júlia
AU  - Peres, Y
ED  - Sidoravicius, V
ED  - Smirnov, S
TI  - Topics in Markov chains: Mixing and escape rate
T2  - PROBABILITY AND STATISTICAL PHYSICS IN ST. PETERSBURG
PB  - American Mathematical Society (AMS)
CY  - Providence (RI)
SN  - 9781470422486
T3  - Proceedings of Symposia in Pure Mathematics, ISSN 2324-707X ; 91.
PY  - 2016
SP  - 303
EP  - 330
PG  - 28
DO  - 10.1090/pspum/091/01539
UR  - https://m2.mtmt.hu/api/publication/3123334
ID  - 3123334
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kolossváry, István
AU  - Komjáthy, Júlia
AU  - Vágó, Lajos
TI  - Degrees and distances in random and evolving Apollonian networks
JF  - ADVANCES IN APPLIED PROBABILITY
J2  - ADV APPL PROBAB
VL  - 48
PY  - 2016
IS  - 3
SP  - 865
EP  - 902
PG  - 38
SN  - 0001-8678
DO  - 10.1017/apr.2016.32
UR  - https://m2.mtmt.hu/api/publication/2699301
ID  - 2699301
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kolossváry, István
AU  - Komjáthy, Júlia
TI  - First Passage Percolation on Inhomogeneous Random Graphs
JF  - ADVANCES IN APPLIED PROBABILITY
J2  - ADV APPL PROBAB
VL  - 47
PY  - 2015
IS  - 2
SP  - 589
EP  - 610
PG  - 22
SN  - 0001-8678
DO  - 10.1239/aap/1435236989
UR  - https://m2.mtmt.hu/api/publication/2699300
ID  - 2699300
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Komjáthy, Júlia
AU  - Yuval, Peres
TI  - Mixing and relaxation time for random walk on wreath product graphs
JF  - ELECTRONIC JOURNAL OF PROBABILITY
J2  - ELECTRON J PROBAB
VL  - 18
PY  - 2013
SP  - 1
EP  - 23
PG  - 23
SN  - 1083-6489
DO  - 10.1214/EJP.v18-2321
UR  - https://m2.mtmt.hu/api/publication/2688064
ID  - 2688064
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Komjáthy, Júlia
AU  - Simon, Károly
AU  - Vágó, Lajos
TI  - A generalization of Barabasi priority model of human dynamics
PY  - 2012
UR  - https://m2.mtmt.hu/api/publication/2690159
ID  - 2690159
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Komjáthy, Júlia
AU  - Miller, J
AU  - Peres, Y
TI  - Uniform mixing time for Random Walk on Lamplighter Graphs
PY  - 2012
SP  - 1
EP  - 19
PG  - 19
UR  - https://m2.mtmt.hu/api/publication/2686757
ID  - 2686757
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Balázs, Márton
AU  - Komjáthy, Júlia
AU  - Timo, Seppäläinen
TI  - Fluctuation bounds in the exponential bricklayers process
JF  - JOURNAL OF STATISTICAL PHYSICS
J2  - J STAT PHYS
VL  - 147
PY  - 2012
IS  - 1
SP  - 35
EP  - 62
PG  - 28
SN  - 0022-4715
DO  - 10.1007/s10955-012-0470-5
UR  - https://m2.mtmt.hu/api/publication/2215761
ID  - 2215761
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Balázs, Márton
AU  - Komjáthy, Júlia
AU  - Timo, Seppäläinen
TI  - Microscopic concavity and fluctuation bounds in a class of deposition processes
JF  - ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
J2  - ANN I H POINCARE-PR
VL  - 48
PY  - 2012
IS  - 1
SP  - 151
EP  - 187
PG  - 37
SN  - 0246-0203
DO  - 10.1214/11-AIHP415
UR  - https://m2.mtmt.hu/api/publication/2215759
ID  - 2215759
LA  - English
DB  - MTMT
ER  -