Fractal Dimension for Fractal Structures With Applications to Finance /

• Main Authors: Fernández-Martínez, Manuel (Author, http://id.loc.gov/vocabulary/relators/aut), García Guirao, Juan Luis (http://id.loc.gov/vocabulary/relators/aut), Sánchez-Granero, Miguel Ángel (http://id.loc.gov/vocabulary/relators/aut), Trinidad Segovia, Juan Evangelista (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SEMA SIMAI Springer Series, 19
• Subjects: Dynamics.; Ergodic theory.; Topology.; Measure theory.; Probabilities.; Algorithms.; Computer science-Mathematics.; Computer mathematics.; Dynamical Systems and Ergodic Theory.; Measure and Integration.; Probability Theory and Stochastic Processes.; Mathematical Applications in Computer Science.

This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents whe...

Table of Contents:

• 1 Mathematical background
• 2 Box dimension type models
• 3 A middle definition between Hausdorff and box dimensions
• 4 Hausdorff dimension type models for fractal structures.