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cs.IT2024
Shortest Path Lengths in Poisson Line Cox Processes: Approximations and Applications
Gourab Ghatak, Sanjoy Kumar Jhawar, Martin Haenggi
We study street-constrained () shortest paths in a Poisson line Cox process (PLCP), where Poisson points of linear intensity lie on the lines of an underlying Poisson l…
math.PR2024
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…