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We apply a replica inference based Potts model method to unsupervised image segmentation on multiple scales. This approach was inspired by the statistical mechanics problem of “community detection” an...
We study the realizability of scale free-networks with a given degree sequence, showing that the fraction of realizable sequences undergoes two first-order transitions at the values 0 and 2 of the pow...
We give an intuitive though general explanation of the finitesize effect in scale-free networks in terms of the degree distribution of the starting network. This result clarifies the relevance of the ...
In this work we present a large-scale community structure detection and analysis applied to the largest Online Social Network actually existing, namely Facebook. This network gathers more than 500 mil...
The suspicion that the existence of a minimal uncertainty in position measurements violates Lorentz invariance seems unfounded. It is shown that the existence of such a nonzero minimal uncertainty in...
Large scale magnetic fields in galaxies are thought to be generated, by a mean field dynamo. In order to have generated the fields observed, the dynamo would have had to have operated for a sufficient...
Gauge theory of phase and scale     Gauge theory  phase  scale       2010/4/15
Old Weyl's the idea of scale recalibration freedom and Infeld's and van der Waerden's (IW) ideas concerning geometrical interpretation of natural spinor phase gauge symmetry are discussed in the conte...

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