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20102024
most citedParallel queues with synchronization

12 citations · 29 across the 8 of their papers we have counts for

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8 papers · 1 filter

math.PR2024

Opinion dynamics on non-sparse networks with community structure

Panagiotis Andreou, Mariana Olvera-Cravioto

We study the evolution of opinions on a directed network with community structure. Individuals update their opinions synchronously based on a weighted average of their neighbors' o…

math.PR2023

PageRank Nibble on the sparse directed stochastic block model

Sayan Banerjee, Prabhanka Deka, Mariana Olvera-Cravioto

We present new results on community recovery based on the PageRank Nibble algorithm on a sparse directed stochastic block model (dSBM). Our results are based on a characterization…

math.PR201512 cited

Parallel queues with synchronization

Mariana Olvera-Cravioto, Octavio Ruiz-Lacedelli

Motivated by the growing interest in today's massive parallel computing capabilities we analyze a queueing network with many servers in parallel to which jobs arrive a according to…

math.PR20149 cited

Ranking algorithms on directed configuration networks

Ningyuan Chen, Nelly Litvak, Mariana Olvera-Cravioto

This paper studies the distribution of a family of rankings, which includes Google's PageRank, on a directed configuration model. In particular, it is shown that the distribution o…

math.PR20142 cited

Coupling on weighted branching trees

Ningyuan Chen, Mariana Olvera-Cravioto

This paper considers linear functions constructed on two different weighted branching processes and provides explicit bounds for their Kantorovich-Rubinstein distance in terms of c…

math.PR20146 cited

PageRank in scale-free random graphs

Ningyuan Chen, Nelly Litvak, Mariana Olvera-Cravioto

We analyze the distribution of PageRank on a directed configuration model and show that as the size of the graph grows to infinity it can be closely approximated by the PageRank of…