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Seasonal Statistics of Shannon Rate in a Dynamical Poisson-Voronoi Cellular Network
Sanjoy Kumar Jhawar, François Baccelli
In this work we consider a dynamical cellular communication network in which mobile base stations (BSs) are modeled as a homogeneous Poisson point process on . Each b…
On a Class of Dynamical Poisson-Voronoi Tessellations
François Baccelli, Sanjoy Kumar Jhawar
Consider a dynamical network model featuring mobile stations on the Euclidean plane. The initial locations of the stations are given by a homogeneous Poisson point process. The sta…
Large and moderate deviations in Poisson navigations
Partha Pratim Ghosh, Benedikt Jahnel, Sanjoy Kumar Jhawar
We derive large- and moderate-deviation results in random networks given as planar directed navigations on homogeneous Poisson point processes. In this non-Markovian routing scheme…
Poisson approximation of fixed-degree nodes in weighted random connection models
Christian Hirsch, Benedikt Jahnel, Sanjoy Kumar Jhawar +1
We present a process-level Poisson-approximation result for the degree-k vertices in a high-density weighted random connection model with preferential-attachment kernel in the unit…
Continuum Percolation in a Nonstabilizing Environment
Benedikt Jahnel, Sanjoy Kumar Jhawar, Anh Duc Vu
We prove phase transitions for continuum percolation in a Boolean model based on a Cox point process with nonstabilizing directing measure. The directing measure, which can be seen…