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Scale-free networks emerging from multifractal time series
dc.contributor.author | Budroni, Marcello A. |
dc.contributor.author | Baronchelli, Andrea |
dc.contributor.author | Pastor Satorras, Romualdo |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física |
dc.date.accessioned | 2017-06-09T15:54:57Z |
dc.date.available | 2017-06-09T15:54:57Z |
dc.date.issued | 2017-05-16 |
dc.identifier.citation | Budroni, M., Baronchelli, A., Pastor-Satorras, R. Scale-free networks emerging from multifractal time series. "Physical review E", 16 Maig 2017, vol. 95, núm. 5, p. 1-8. |
dc.identifier.issn | 2470-0045 |
dc.identifier.uri | http://hdl.handle.net/2117/105316 |
dc.description.abstract | Methods connecting dynamical systems and graph theory have attracted increasing interest in the past few years, with applications ranging from a detailed comparison of different kinds of dynamics to the characterization of empirical data. Here we investigate the effects of the (multi)fractal properties of a signal, common in time series arising from chaotic dynamics or strange attractors, on the topology of a suitably projected network. Relying on the box-counting formalism, we map boxes into the nodes of a network and establish analytic expressions connecting the natural measure of a box with its degree in the graph representation. We single out the conditions yielding to the emergence of a scale-free topology and validate our findings with extensive numerical simulations. We finally present a numerical analysis on the properties of weighted and directed network projections. |
dc.format.extent | 8 p. |
dc.language.iso | eng |
dc.publisher | American Chemical Society (ACS) |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Time-series analysis |
dc.subject.lcsh | Stochastic processes |
dc.title | Scale-free networks emerging from multifractal time series |
dc.type | Article |
dc.subject.lemac | Sèries temporals--Anàlisi |
dc.subject.lemac | Processos estocàstics |
dc.contributor.group | Universitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity |
dc.identifier.doi | 10.1103/PhysRevE.95.052311 |
dc.relation.publisherversion | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.052311 |
dc.rights.access | Open Access |
local.identifier.drac | 21076392 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/317532/EU/Foundational Research on MULTIlevel comPLEX networks and systems/MULTIPLEX |
local.citation.author | Budroni, M.; Baronchelli, A.; Pastor-Satorras, R. |
local.citation.publicationName | Physical review E |
local.citation.volume | 95 |
local.citation.number | 5 |
local.citation.startingPage | 1 |
local.citation.endingPage | 8 |
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