Project
EF45-3
Data Transmission in Dynamical Random Networks
Project Heads
Benedikt Jahnel
Project Members
Anh Duc Vu (since 08/24), Julia Hörrmann (03 – 07/24)
Project Duration
01.01.2024 – 31.12.2025
Located at
WIAS
Description
An overwhelming need for data transmission in a globalised world calls for massive innovations in the design of future networks. The project aims to contribute to this via the rigorous analysis of detection and contact times in complex networks featuring
realistic mobility and multifaceted sources of randomness.
realistic mobility and multifaceted sources of randomness.
Project Webpages
Selected Publications
C. Hirsch, B. Jahnel, S. Jhawar, P. Juhasz: Poisson approximation of fixed-degree nodes in weighted random connection models, Stochastic Processes and their Applications Vol. 183 (2025)
M. Heida, B. Jahnel, A.D. Vu: Stochastic homogenization on irregularly perforated domains,
Networks and Heterogeneous Media Vol. 20, No. 1, 165-212 (2025)
M. Heida, B. Jahnel, A.D. Vu, An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity,
Electronic Communications in Probability Vol. 29, No. 66, 1-13 (2024)
B. Jahnel, U. Rozikov, Gibbs measures for hardcore-SOS models on Cayley trees,
Journal of Statistical Mechanics: Theory and Experiment (2024)
B. Jahnel, U. Rozikov, Three-state p-SOS models on binary Cayley trees,
Journal of Statistical Mechanics: Theory and Experiment (2024)
B. Jahnel, L. Lüchtrath, D. Mönch: Phase transitions for contact processes on one-dimensional networks,
Preprint available at arXiv:2501.16858
D. Coupier, B. Henry, B. Jahnel, J. Köppl, The planar lattice two-neighbor graph percolates,
Preprint available at arxiv:2412.20781
B. Jahnel, L. Lüchtrath, A.D. Vu, First contact percolation,
Preprint available at arxiv:2412.14987
B. Jahnel, L. Lüchtrath, E. Jacob: Subcritical annulus crossing in spatial random graphs,
Preprint available at arXiv:2411.10333
B. Jahnel, J. Köppl, Y. Steenbeck, A. Zass: The variational principle for a marked Gibbs point process with infinite-range multibody interactions, Preprint available at arXiv:2408.17170
B. Jahnel, L. Lüchtrath, M. Ortgiese, Cluster sizes in subcritical soft Boolean models,
Preprint available at arxiv:2404.13730
P.P. Ghosh, B. Jahnel, S.K. Jhawar, Large and moderate deviations in Poisson navigations,
Preprint available at arxiv:2403.14295
B. Jahnel, J. Köppl, Time-periodic behaviour in one- and two-dimensional interacting particle systems,
Preprint available at arxiv:2402.12300
Selected Pictures
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Connectivity in central and decentral communication
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.
Illustration of a contact based percolation model
Simulation of the set of devices reachable from the origin in a device-to-device network after 10 and 50 days. The set is scaled by the inverse time.
We assume that each device has one contact per day at a random time with each of its neighbours.