文章基本信息

标题：Space-time large deviations in capacity-constrained relay networks
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作者：Christian Hirsch ; Benedikt Jahnel ; Robert Patterson 等
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2018
卷号：XV
期号：1
页码：587-615
DOI：10.30757/ALEA.v15-24
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider a single-cell network of random transmitters and fixed relaysin a bounded domain of Euclidean space. The transmitters arrive over timeand select one relay according to a spatially inhomogeneous preference kernel. Oncea transmitter is connected to a relay, the connection remains and the relay is occupied.If an occupied relay is selected by another transmitters with later arrivaltime, this transmitter becomes frustrated. We derive a large deviation principle forthe space-time evolution of frustrated transmitters in the high-density regime.
关键词：Large deviations; measure;valued differential equations; entropy; ca;;pacity; relay;