FB 6 Mathematik/Informatik

Institut für Mathematik


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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).

18.12.2018 um 12:00 Uhr in Raum 69/E15

Grace Itunuoluwa Akinwande

Poisson Approximations for Random Simplicial Complexes

08.01.2019 um 12:00 Uhr in Raum 69/E15

Stephan Bussmann

CLT for the Carcasonne Model

15.01.2019 um 12:00 Uhr in Raum 69/E15

Matthias Reitzner

Stars of empty simplices

24.01.2019 um 11:00 Uhr in Raum 69/E15

Kai Bellinghausen 

TBA

29.01.2019 um 12:00 Uhr in Raum 69/E15

Stefan Niemeyer

Das Boolesche Modell und die Signalausbreitung von drahtlosen Netzwerken

Jonas Schmidt

Die Cheeger-Konstante für zufällige Graphen