planned lectures for the SS 2018: **17.05.2018, 14.06.2018; 12.07.2018**

Past talks of the last semester can be found under **Veranstaltungen-Mathe**.

Donnerstag, 17. Mai 2018, 16:30 Uhr, Carl-Zeiß-Str. 3, SR 308

### Prof. Dr. Steffen Dereich (Westfälische Wilhelms-Universität Münster)

### Thema: A mathematical account on preferential attachment networks

**Abstract**: Since the 90s complex networks gained significant attention from different communities. One way mathematicians address complex networks is to define a sequence of random graphs with growing size and to ask for the behaviour of typical realizations when the network is large. A popular dynamic network model is the so called preferential attachment model where step by step new vertices are added and randomly connected with the earlier ones. This is done in such a way that links to vertices with high degree are preferred so that a fit-get-richer phenomenon can be observed. In this talk we discuss the typical structure of large networks with preferential attachment. We illustrate the artifacts caused by the dynamical building paradigm by comparing the result to static models. Further, we consider a variant of preferential attachment that shows a condensation phenomenon similar to certain physical models.

##### All interested parties are cordially invited!

Donnerstag, 14. Juni 2018, 16:30 Uhr, Carl-Zeiß-Str. 3, 308

### Prof. Dr. Michael Dellnitz (Universität Paderborn)

### Thema: TBA

**Abstract**: TBA

##### All interested parties are cordially invited!

Donnerstag, 12. Juli 2018, 16:30 Uhr, Carl-Zeiß-Str. 3, ...

### Prof. Dr. Werner Ballmann (Max-Planck-Institut Bonn)

### Thema: TBA

**Abstract**: TBA

##### All interested parties are cordially invited!