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20162020
most citedVolume of the space of qubit channels and some new results about the distribution of the quantum Dobrushin coefficient

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math.PR2020

Ergodic theorems for queuing systems with dependent inter-arrival times

Attila Lovas, Miklós Rásonyi

We study a G/GI/1 single-server queuing model with i.i.d.\ service times that are independent of a stationary process of inter-arrival times. We show that the distribution of the w…

math.PR2019

Markov chains in random environment with applications in queueing theory and machine learning

Attila Lovas, Miklós Rásonyi

We prove the existence of limiting distributions for a large class of Markov chains on a general state space in a random environment. We assume suitable versions of the standard dr…