Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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BCCN/BFNT AG-Seminar

Friday, 10.07.2015 14:15 s.t.

ISOSPECTRAL TRANSFORMATIONS of NETWORKS, Part II

by Prof. Dr. Leonid Bunimovich
from School of Mathematics, Georgia Institute of Technology, Atlanta, USA

Contact person: Theo Geisel

Location

Ludwig Prandtl lecture hall

Abstract

We will describe a new theory that allows to reduce, compress and enlarge networks while keeping all the information about its spectrum as well as eigenvectors. This technique allows to uncover various types of hierarchies ("scalings") within a network, the roles of nodes with respect to various characteristics, etc. Some applications to stability of dynamical networks will be discussed as well. Only basic knowledge of linear algebra is required.

Remarks

2nd lecture

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