2.1k citations · 2.5k across the 24 of their papers we have counts for
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A toy model for brain criticality: self-organized excitation/inhibition ratio and the role of network clustering
Lorenz Baumgarten, Stefan Bornholdt
The critical brain hypothesis receives increasing support from recent experimental results. It postulates that the brain is at a critical point between an ordered and a chaotic reg…
Self-organized criticality in neural networks from activity-based rewiring
Stefan Landmann, Lorenz Baumgarten, Stefan Bornholdt
Neural systems process information in a dynamical regime between silence and chaotic dynamics. This has lead to the criticality hypothesis which suggests that neural systems reach…
Self-organized criticality in neural network models
Matthias Rybarsch, Stefan Bornholdt
It has long been argued that neural networks have to establish and maintain a certain intermediate level of activity in order to keep away from the regimes of chaos and silence. St…
When are networks truly modular?
Joerg Reichardt, Stefan Bornholdt
Study of the cluster- or community structure of complex networks makes an important contribution to the understanding of networks at a functional level. Despite the many efforts, n…
Partitioning and modularity of graphs with arbitrary degree distribution
Joerg Reichardt, Stefan Bornholdt
We solve the graph bi-partitioning problem in dense graphs with arbitrary degree distribution using the replica method. We find the cut-size to scale universally with <k^1/2>. In c…
Statistical Mechanics of Community Detection
Joerg Reichardt, Stefan Bornholdt
Starting from a general \textit{ansatz}, we show how community detection can be interpreted as finding the ground state of an infinite range spin glass. Our approach applies to wei…