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K0108-40150xV Models and Methods of Applied Mathematics (L)

Instructors: Prof. Dr. rer. nat. Martin Keller-Ressel
Event type: Lecture
Org-unit: Faculty of Mathematics
Hours per week: 3
Language of instruction: German
Alternativtitel: Random Graphs and Networks
Inhalte: In this lecture we will discuss the mathematical foundations for the analysis of random graphs and networks.

We will cover at least the following topics:

* Statistics and representation of graphs and networks
* Eigenvector centrality, PageRank and the Perron-Frobenius theorem
* Concentration inequalities
* The random graph model of Erdös and Renyi (degree distribution and giant component)
* The preferential attachment model and power-law distributions
* Spectral graph analysis

Possible Additional Topics: Financial Networks and/or Network Embeddings
 
Voraussetzungen: Probability Theory

Literature

Appointments
Date From To Room Instructors
1 Fri, 17. Apr. 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
2 Fri, 24. Apr. 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
3 Fri, 8. May 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
4 Fri, 15. May 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
5 Fri, 22. May 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
6 Fri, 29. May 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
7 Fri, 12. Jun. 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
8 Fri, 19. Jun. 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
9 Fri, 26. Jun. 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
10 Fri, 3. Jul. 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
11 Fri, 10. Jul. 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel
12 Fri, 17. Jul. 2020 11:10 12:40 WIL/C204 Prof. Dr. rer. nat. Martin Keller-Ressel

Class session overview

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Instructors
  • Prof. Dr. rer. nat. Martin Keller-Ressel