We show that renormalization group (RG) theory applied to complex networks are useful to classify network topologies into universality classes in the space of configurations. The RG flow readily identifies a small-world/fractal transition by finding a trivial stable fixed point of a complete graph, and two unstable fixed points consisting of (i) a pure fractal topology and (ii) a fractal with s...

We show that renormalization group (RG) theory applied to complex networks is useful to classify network topologies into universality classes in the space of configurations. The RG flow readily identifies a small-world-fractal transition by finding (i) a trivial stable fixed point of a complete graph, (ii) a nontrivial point of a pure fractal topology that is stable or unstable according to the...

Dynamic analysis techniques may quantify abnormalities in heart rate behaviour based on non-linear and fractal analysis.The applicability of these new methods for detecting complex heart rate dynamics in coronary heart disease is not well established. To investigate the clinical and prognostic significance of fractal dimension and detrended fluctuation analysis, two different groups were studie...

We consider the concept of fractons, i.e. particles or quasiparticles which obey specific fractal statistics and for each universal class h of particles we obtain a fractal-deformed Heisenberg algebra. This one takes into account the braid group structure of these objects which live in two-dimensional multiply connected space. PACS numbers: 05.30.-d; 02.20.-a; 11.25.Hf

We consider the concept of fractons, i.e. particles or quasiparticles which obey specific fractal distribution function and for each universal class h of particles we obtain a fractal-deformed Heisenberg algebra. This one takes into account the braid group structure of these objects which live in twodimensional multiply connected space. PACS numbers: 05.30.-d; 02.20.-a; 11.25.Hf

the subject of geometry and proportions has been regarded as an issue which has a close relationship with architecture. since the entire universe, living beings and the human geometry can be seen clearly, that’s why our unconscious essence has accustomed to these proportions whereby reflection of this mentality can be seen in the architect’s hands and thought in the architecture. it can witness...

the ardabil geothermal area is located in the northwest of iran, which hosts several hot springs. it is situated mostly around the sabalan mountain. the sabalan geothermal area is now under investigation for the geothermal electric power generation. it is characterized by its high thermal gradient and high heat flow. in this study, our aim is to determine the fractal parameter and top and botto...

One of the related problems of OCR systems is discrimination of fonts in machine printed document images. This task improves performance of general OCR systems. Proposed methods in this paper are based on various fractal dimensions for font discrimination. First, some predefined fractal dimensions were combined with directional methods to enhance font differentiation. Then, a novel fractal dime...

spatial analysis of aeolian landforms by fractal theory (case study: ardestan rig) abstract natural sciences face to a great revolution, nowadays. now, scientists think the world as a collection of complex systems which prediction of consequences of this complex systems is so difficult. in this situation the systems have rotational act so irregularly lead to regular and regularly lead to irregu...