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20142026
most citedA large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graph

15 citations · 32 across the 11 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.PR2021★ 8 cited

A large-deviations principle for all the components in a sparse inhomogeneous random graph

Luisa Andreis, Wolfgang König, Heide Langhammer +1

We study an inhomogeneous sparse random graph on [N] = {1, . . . , N } as introduced in a seminal paper by Bollobas, Janson and Riordan (2007): vertices have a type (here in a comp…

math.PR2021

Large deviations for Markov jump processes with uniformly diminishing rates

Andrea Agazzi, Luisa Andreis, Robert I. A. Patterson +1

We prove a large-deviation principle (LDP) for the sample paths of jump Markov processes in the small noise limit when, possibly, all the jump rates vanish uniformly, but slowly en…