4 papers
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…
Extremal Process of Last Progeny Modified Branching Random Walks
Partha Pratim Ghosh, Bastien Mallein
We consider a last progeny modified branching random walk, in which the position of each particle at the last generation is modified by an i.i.d. copy of a random variable .…
Coexistence for Competing Branching Random Walks with Identical Asymptotic Shape on
Partha Pratim Ghosh, Benedikt Jahnel
We consider two independent branching random walks that start next to each other on the -dimensional hypercubic lattice and that carry two different colors. Vertices of the latt…
Throughput in inhomogeneous planar drainage networks
Partha Pratim Ghosh, Benedikt Jahnel, Yannic Steenbeck
We consider navigation schemes on planar diluted lattices and semi lattices with one discrete and one continuous component. More precisely, nodes that survive inhomogeneous Bernoul…