22 citations · 56 across the 8 of their papers we have counts for
8 papers
Irreducible fractal structures for Moran's type theorems
M. A. Sánchez-Granero, M. Fernández-Martínez
In this paper, we characterize a novel separation property for IFS-attractors on complete metric spaces. Such a separation property is weaker than the strong open set condition (SO…
Diffusive and arrested-like dynamics in currency exchange markets
Joaquim Clara-Rahola, Antonio M. Puertas, Miguel Angel Sanchez-Granero +2
This work studies the symmetry between colloidal dynamics and the dynamics of the Euro--US Dollar currency exchange market (EURUSD). We consider the EURUSD price in the time range…
A comparison among some Hurst exponent approaches to predict nascent bubbles in company stocks
M. Fernández-Martínez, M. A Sánchez-Granero, María José Muñoz Torrecillas +1
In this paper, three approaches to calculate the self-similarity exponent of a time series are compared in order to determine which one performs best to identify the transition fro…
Generalizing Moran's Theorem
M. Fernández-Martínez, Juan L. G. Guirao, M. A. Sánchez-Granero
This work is aimed by the spirit of 1946 Moran's Theorem, which ensures that both the box and the Hausdorff dimensions for any attractor could be calculated as the solution of an e…
Optimal sampling patterns for Zernike polynomials
D. Ramos-Lopez, M. A. Sanchez-Granero, M. Fernandez-Martinez +1
A pattern of interpolation nodes on the disk is studied, for which the interpolation problem is theoretically unisolvent, and which renders a minimal numerical condition for the co…
Counterexamples in theory of fractal dimension for fractal structures
Magdalena Nowak, Manuel Fernández-Martínez, Miguel Angel Sánchez-Granero
Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. For this purpose, it is always used the box dimension, since it is easy to calculate…