output
20022009
most citedMaps of random walks on complex networks reveal community structure

4.7k citations

Showing 2006Show all

6 papers · 1 filter

physics.soc-ph200628 cited

Unanimity Rule on networks

Renaud Lambiotte, Stefan Thurner, Rudolf Hanel

We introduce a model for innovation-, evolution- and opinion dynamics whose spreading is dictated by unanimity rules, i.e. a node will change its (binary) state only if all of its…

quant-ph200651 cited

On the impossibility of a quantum sieve algorithm for graph isomorphism: unconditional results

Cristopher Moore, Alexander Russell, Piotr Sniady

It is known that any quantum algorithm for Graph Isomorphism that works within the framework of the hidden subgroup problem (HSP) must perform highly entangled measurements across…

nlin.CG20061 cited

Coalescing Cellular Automata

Jean-Baptiste Rouquier, Michel Morvan

We say that a Cellular Automata (CA) is coalescing when its execution on two distinct (random) initial configurations in the same asynchronous mode (the same cells are updated in e…

physics.soc-ph20061 cited

Random matrix ensembles of time-lagged correlation matrices: Derivation of eigenvalue spectra and analysis of financial time-series

Christoly Biely, Stefan Thurner

We derive the exact form of the eigenvalue spectra of correlation matrices derived from a set of time-shifted, finite Brownian random walks (time-series). These matrices can be see…

quant-ph200687 cited

Quasiclassical Coarse Graining and Thermodynamic Entropy

Murray Gell-Mann, James Hartle

Our everyday descriptions of the universe are highly coarse-grained, following only a tiny fraction of the variables necessary for a perfectly fine-grained description. Coarse grai…

cs.NI20068 cited

Radial Structure of the Internet

Petter Holme, Josh Karlin, Stephanie Forrest

The structure of the Internet at the Autonomous System (AS) level has been studied by both the Physics and Computer Science communities. We extend this work to include features of…