"Continuum percolation with holes" by A. Sarkar

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Continuum percolation with holes

Statistics & Probability Letters (2017)

A. Sarkar, Western Washington University
M. Haenggi, University of Notre Dame

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Abstract

We analyze a mathematical model of a cognitive radio network introduced in Yemini et al. (2016). Our analysis reveals several surprising features of the model. We explain some of these features using ideas from percolation theory and stochastic geometry.

Keywords

Percolation,
Poisson process,
Gilbert model,
Cognitive networks,
Simultaneous connectivity

Disciplines

Statistics and Probability,
Mathematics and
Discrete Mathematics and Combinatorics

Publication Date

January 7, 2017

DOI

10.1016/j.spl.2017.03.010

Citation Information

A. Sarkar and M. Haenggi. "Continuum percolation with holes" Statistics & Probability Letters Vol. 126 (2017) p. 212 - 218
Available at: http://works.bepress.com/amites_sarkar/17/