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20082017
most citedOrder of current variance and diffusivity in the rate one totally asymmetric zero range process

9 citations · 19 across the 6 of their papers we have counts for

collaborators

6 papers

math.PR20171 cited

Large Deviation Multifractal Analysis of a Process Modeling TCP CUBIC

Károly Simon, Sándor Molnár, Julia Komjathy +1

Multifractal characteristics of the Internet traffic have been discovered and discussed in several research papers so far. However, the origin of this phenomenon is still not fully…

math.PR20151 cited

Topics in Markov chains: mixing and escape rate

Julia Komjathy, Yuval Peres

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…

math.PR20154 cited

First passage percolation on random graphs with infinite variance degrees

Enrico Baroni, Remco van der Hofstad, Julia Komjathy

We prove non-universality results for first-passage percolation on the configuration model with i.i.d. degrees having infinite variance. We focus on the weight of the optimal path…

math.PR20153 cited

Fixed speed competition on the configuration model with infinite variance degrees: equal speeds

Remco van der Hofstad, Julia Komjathy

We study competition of two spreading colors starting from single sources on the configuration model with i.i.d. degrees following a power-law distribution with exponent $τ\in (2,3…

math.PR20121 cited

A generalization of Barabasi priority model of human dynamics

Julia Komjathy, Karoly Simon, Lajos Vago

Albert-Laszlo Barabasi introduced a model which exhibits the bursty nature of the arrival times of events in systems determined by decisions of some humans. In Barabasi's model tas…

math.PR20089 cited

Order of current variance and diffusivity in the rate one totally asymmetric zero range process

Marton Balazs, Julia Komjathy

We prove that the variance of the current across a characteristic is of order t^{2/3} in a stationary constant rate totally asymmetric zero range process, and that the diffusivity…