Controlling the Multifractal Generating Measures of Complex Networks

Controlling Across Complex Networks

Multidimensional Multifractal Random Measures

The purpose of this paper is to introduce a natural multidimensional generalization (MMRM) of the one dimensional multifractal random measures (MRM) introduced by Bacry and Muzy in [1]. The measures M we introduce are different from zero, homogeneous in space, isotropic and satisfy the following exact scale invariance relation: if T denotes some given cutoff parameter then the following equalit...

Multiperiodic multifractal martingale measures

A nonnegative 1-periodic multifractal measure on R is obtained as infinite random product of harmonics of a 1-periodic function W(t). Such infinite products are statistically self-affine and generalize certain Riesz products with random phases. They are martingale structures, therefore converge. The criterion on W for nondegeneracy is provided. It differs completely from those for other known r...

Controlling Synchronization in Complex Networks

Examples of synchronization can be found in a wide range of phenomena. While in several situations the formation of a coherent state is positive as, for example, in the blinking of fireflies to attract partners and the synchronized motion of bearings, in many others it is unpleasant and should be mitigated. Examples are the epileptic seizures, traffic congestion in communication networks, and t...

Controlling centrality in complex networks

Dipartimento di Fisica ed Astronomia, Università di Catania, and INFN Sezione di Catania, 95123, Catania, Italy, Laboratorio sui Sistemi Complessi, Scuola Superiore di Catania, Università di Catania, 95123, Catania, Italy, Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, 28933, Madrid, Spain, Dipartimento di Matematica e Informatica, Università di Catania, Via S., Sofia, 64, 95...