Souvik Dhara

TL;DR: In this paper, the authors investigated the component sizes of the critical configuration model, as well as the related problem of critical percolation on a supercritical configuration model and showed that, at criticality, the finite third moment assumption on the asymptotic degree distribution is enough to guarantee that the largest connected components are of the order $n 2/3$ and the re-scaled component sizes (ordered in a decreasing manner) converge to the ordered excursion lengths of an inhomogeneous Brownian Motion with a parabolic drift.

TL;DR: In this article, Renyi et al. used a modele de percolation for studying the evolution of composante models of configuration in a queue lourde, and showed that these models convergent en loi for a topologie forte.

TL;DR: It is proved that both the waiting time of tasks and the relative energy portion consumed by idle servers vanish in the limit of the proposed auto-scaling and load balancing scheme, thus ensuring scalability in massive data center operations.

TL;DR: In this paper, the authors investigated the component sizes of the critical configuration model, as well as the related problem of critical percolation on a supercritical configuration model and showed that, at criticality, the finite third moment assumption on the asymptotic degree distribution is enough to guarantee that the largest connected components are of the order $n 2/3$ and the re-scaled component sizes (ordered in a decreasing manner) converge to the ordered excursion lengths of an inhomogeneous Brownian Motion with a parabolic drift.

TL;DR: It is proved that both the waiting time of tasks and the relative energy portion consumed by idle servers vanish in the limit of the proposed auto-scaling and load balancing scheme, thus ensuring scalability in massive data center operations.