000063182 001__ 63182 000063182 005__ 20250619084222.0 000063182 0247_ $$2doi$$a10.1103/PhysRevLett.110.168703 000063182 0248_ $$2sideral$$a81382 000063182 037__ $$aART-2013-81382 000063182 041__ $$aeng 000063182 100__ $$aLacasa, L. 000063182 245__ $$aCorrelation dimension of complex networks 000063182 260__ $$c2013 000063182 5060_ $$aAccess copy available to the general public$$fUnrestricted 000063182 5203_ $$aWe propose a new measure to characterize the dimension of complex networks based on the ergodic theory of dynamical systems. This measure is derived from the correlation sum of a trajectory generated by a random walker navigating the network, and extends the classical Grassberger-Procaccia algorithm to the context of complex networks. The method is validated with reliable results for both synthetic networks and real-world networks such as the world air-transportation network or urban networks, and provides a computationally fast way for estimating the dimensionality of networks which only relies on the local information provided by the walkers. 000063182 536__ $$9info:eu-repo/grantAgreement/ES/DGA/FM122-10$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2009-13690$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2011-14539-E$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2012-38266-C02-01 000063182 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000063182 590__ $$a7.728$$b2013 000063182 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b6 / 78 = 0.077$$c2013$$dQ1$$eT1 000063182 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000063182 700__ $$0(orcid)0000-0001-5204-1937$$aGómez-Gardeñes, J.$$uUniversidad de Zaragoza 000063182 7102_ $$12003$$2395$$aUniversidad de Zaragoza$$bDpto. Física Materia Condensa.$$cÁrea Física Materia Condensada 000063182 773__ $$g110, 16 (2013), 168703 [5 pp]$$pPhys. rev. lett.$$tPhysical Review Letters$$x0031-9007 000063182 8564_ $$s445581$$uhttps://zaguan.unizar.es/record/63182/files/texto_completo.pdf$$yVersión publicada 000063182 8564_ $$s139402$$uhttps://zaguan.unizar.es/record/63182/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000063182 909CO $$ooai:zaguan.unizar.es:63182$$particulos$$pdriver 000063182 951__ $$a2025-06-19-08:41:23 000063182 980__ $$aARTICLE