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Dr. Paul Schultz

PostDoc

Department

Complexity Science

ORCID #

orcid.org/0000-0002-1785-6476

Contact

Potsdam Institute for Climate Impact Research (PIK)

pschultz[at]pik-potsdam.de

T +49 (0)331 288 2054

P.O. Box 60 12 03
14412 Potsdam

I am a postdoctoral researcher in the COmplex Energy Networks group (COEN) at PIK. My interests lie in assessing the stability of dynamical systems and the relation to the topology of complex networks that describe them. Especially, I explore new notions of probabilistic measures of stability or resilience that complement linear approaches. The paragon of an interesting system here is the network of electrical energy distribution systems alias power grids.


Bio

ResearcherID: E-2935-2013

ORCID: 0000-0002-1785-6476

Google: Scholar, h-Index 8

My Erdős number is 3 : PS → Jobst Heitzig → Marcel Erné → Paul Erdős

Research

I maintain a group of publicly accessible software projects on github.com. There are various repositories containing algorithms that are related to my publications. I mainly work in Julia and Python, but recently I also started creating visualisations in JavaScript using D3.js. You can experience an example by playing with this interactive simulation of a power grid.

In our publication "Deciphering the imprint of topology on nonlinear dynamical network stability" we developed an algorithm to identify tree-shaped appendices of complex networks, including a detailed classification of tree nodes. You can find it here.

The network algorithm from our publication "A random growth model for power grids and other spatially embedded infrastructure networks" is availiable here. Recently, the Python version has been translated to Julia.

Publications

See also my ORCID page.

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Projects

I work for the project "Consistent modeling, design and analysis of multi-layered hybrid power systems with distributed control" (CoCoHyPe) which is part of the DFG priority programme “Hybrid and Multimodal Energy Systems: Systems Theory and Methods for the Transformation and Operation of Complex Networks” (SPP 1984).

More details can be found on the research group's website.

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