Project Heads
Benedikt Jahnel
Project Members
Julia Hörrmann
Project Duration
01.01.2024 – 31.12.2025
Located at
WIAS
Project Webpages
Selected Publications
B. Jahnel, L. Lüchtrath, M. Ortgiese, Cluster sizes in subcritical soft Boolean models,
Preprint available at arxiv:2404.13730
B. Jahnel, U. Rozikov, Gibbs measures for hardcore-SOS models on Cayley trees,
Preprint available at arxiv:2404.03297
P.P. Ghosh, B. Jahnel, S.K. Jhawar, Large and moderate deviations in Poisson navigations,
Preprint available at arxiv:2403.14295
M. Heida, B. Jahnel, A.D. Vu, An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity,
Preprint available at arxiv:2403.06785
B. Jahnel, J. Köppl, Time-periodic behaviour in one- and two-dimensional interacting particle systems,
Preprint available at arxiv:2402.12300
B. Jahnel, U. Rozikov, Three-state $p$-SOS models on binary Cayley trees,
Preprint available at arxiv:2402.09839
Selected Pictures
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Illustration of decentral and central communication.
The mobile phones are a Poisson point process in the square [0,400]^2
with intensity 0.000125 per m^2.
Simulation of the shape of the set of reachable devices from the origin scaled by the inverse time after 10 and 50 days in a device-to-device network on Z^2 with one random equally distributed contact per day on each edge and independence of contact times for different days and edges.