Scaling limits for exploration algorithms

Paola Bermolen; Matthieu Jonckheere; Jaron Sanders

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arXiv · 1504.02438

Scaling limits for exploration algorithms

Paola Bermolen·Matthieu Jonckheere·Jaron Sanders

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Abstract

We consider an exploration algorithm where at each step, a random number of items become active while related items get explored. Given an initial number of items $N$ growing to infinity and building on a strong homogeneity assumption, we study using scaling limits of Markovian processes statistical properties of the proportion of active nodes in time. This is a companion paper that rigorously establishes the claims and heuristics presented in [5]. [5] Jaron Sanders, Matthieu Jonckheere, and Servaas Kokkelmans. Sub-Poissonian statistics of jamming limits in Rydberg gases. 2015. To appear.

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Paola Bermolen, Matthieu Jonckheere, Jaron Sanders. 2015-04-09. Scaling limits for exploration algorithms. https://arxiv.org/abs/1504.02438

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