15 citations · 60 across the 52 of their papers we have counts for
7 papers · 2 filters
Chase-escape in dynamic device-to-device networks
Elie Cali, Alexander Hinsen, Benedikt Jahnel +1
The present paper features results on global survival and extinction of an infection in a multi-layer network of mobile agents. Expanding on a model first presented in [CHJW22], we…
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…
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…
Dynamical Gibbs Variational Principles for Irreversible Interacting Particle Systems with Applications to Attractor Properties
Benedikt Jahnel, Jonas Köppl
We consider irreversible translation-invariant interacting particle systems on the -dimensional cubic lattice with finite local state space, which admit at least one Gibbs measu…
Sharp phase transition for Cox percolation
Christian Hirsch, Benedikt Jahnel, Stephen Muirhead
We prove the sharpness of the percolation phase transition for a class of Cox percolation models, i.e., models of continuum percolation in a random environment. The key requirement…
The free energy of a box-version of the interacting Bose gas
Orphée Collin, Benedikt Jahnel, Wolfgang König
The interacting quantum Bose gas is a random ensemble of many Brownian bridges (cycles) of various lengths with interactions between any pair of legs of the cycles. It is one of th…
Gibbsianness of locally thinned random fields
Nils Engler, Benedikt Jahnel, Christof Kuelske
We consider the locally thinned Bernoulli field on , which is the lattice version of the Type-I Matérn hardcore process in Euclidean space. It is given as the lattice…