Large deviation principle for empirical SINR measure of critical telecommunication networks

Local large deviation principle, large deviation principle and information theory for the signal-to-interference-plus-noise ratio graph models

“…This article assumes that there exists a λ and a function t : D × R + → (0, ∞) such that λ 2 a λ → 0 and Sakyi-Yeboah et. al [10] and Sakyi-Yeboah et. al [11] investigates the critical SINR network model (that is λa λ → 1) and super-critical SINR network model ( that is λa λ → ∞) respectively .…”

“…Sakyi-Yeboah et. al [10] and Sakyi-Yeboah et. al [11] investigates the critical SINR network model (that is λa λ → 1) and super-critical SINR network model ( that is λa λ → ∞) respectively .…”

“…In this article, we prove joint large deviation principles on the scales λ and λ 2 a λ , where λ is the intensity measure of the underlining PPP of the subcritical SINR model. See, [9] or [10] or [11] for similar results fore the dense SINR random network models. From these LDPs, we prove an asymptotic equipartition property; see example [9], for the SINR models.…”

“…Note, W is a locally finite subset of the set D × R + . See, example, [10]. Without abuse of notation we shall refer to M(W × W) as the space of symmetric measure on W × W endowed with the τ − topology.…”

“…The proof of Lemma 5.1 is excluded from the article. Scholars of interest may infer to [10] for likewise proof for empirical measures of ' the supercritical marked SINR random network processes and/or the references therein for proof of the lemma for empirical measures on measurable spaces.…”