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WS 2018/2019
13.11.2018 um 12:00 Uhr in Raum 69/E15
Hannes Ahaus
Risikomaße - Theorie und praktische Anwendung in der Lebensversicherung
20.11.2018 um 12:00 Uhr in Raum 69/E15
Carina Betken
Sedentary Random Waypoint Model
04.12.2018 um 12:00 Uhr in Raum 69/E15
Binh Hong Ngoc
Expected mean width of randomized integer convex hull
11.12.2018 um 12:00 Uhr in Raum 69/E15
Alexander Hinse (WIAS Berlin)
Vulnerability & security in ad-hoc networks
The use of D2D technology in future telecommunication systems presents a great opportunity to increase connectivity as well as capacity in networks under the pressure of accelerating demand for faster and larger volume services. On the other hand, D2D systems present their own set of vulnerabilities, essentially coming from the lack of operated infrastructure.
We consider a spatial system of devices on a random street system in R 2 forming an ad-hoc communication system. We study the propagation of malware and efficiency of countermeasures in form of an interacting particle system.
Depending on the speed of the malware, the competing processes undergoes a phase transition. Above thecritical value, the malware, started from an initial infection, percolates with positive probability (and is able to survive as t → ∞). Below the critical speed it dies out almost surely.
We are able to proof this phase transition for random rebooting (contact process) and the ’White Knight’model: an active countermeasure where a so called Goodware actively spreads through the system competing against the malware. The model was also labelled ’chase-escape’ by Durrett (’18).
The project is a joint work with Benedikt Jahnel and Wolfgang König (WIAS/TU).
