3 papers
math.PR2023
A long-range contact process in a random environment
Benedikt Jahnel, Anh Duc Vu
We study survival and extinction of a long-range infection process on a diluted one-dimensional lattice in discrete time. The infection can spread to distant vertices according to…
math.PR2022
Connectivity in mobile device-to-device networks in urban environments
Elie Cali, Alexander Hinsen, Benedikt Jahnel +1
In this article we setup a dynamic device-to-device communication system where devices, given as a Poisson point process, move in an environment, given by a street system of random…
math.PR2014
A class of non-ergodic probabilistic cellular automata with unique invariant measure and quasi-periodic orbit
Benedikt Jahnel, Christof Kuelske
We provide an example of a discrete-time Markov process on the three-dimensional infinite integer lattice with Z_q-invariant Bernoulli-increments which has as local state space the…