Fractal Dimension for Fractal Structures With Applications to Financ
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
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ctal Dimension for Fractal Structures With Applications to Finance
Se MA
SEMA SIMAI Springer Series Volume 19
Editor-in-Chief Luca Formaggia, MOX–Department of Mathematics, Politecnico di Milano, Milano, Italy Pablo Pedregal, ETSI Industriales, University of Castilla–La Mancha, Ciudad Real, Spain Series Editors Mats G. Larson, Department of Mathematics, Umeå University, Umeå, Sweden Tere Martínez-Seara Alonso, Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain Carlos Parés, Facultad de Ciencias, Universidad de Málaga, Málaga, Spain Lorenzo Pareschi, Dipartimento di Matematica e Informatica, Università degli Studi di Ferrara, Ferrara, Italy Andrea Tosin, Dipartimento di Scienze Matematiche “G. L. Lagrange”, Politecnico di Torino, Torino, Italy Elena Vázquez-Cendón, Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, A Coruña, Spain Jorge P. Zubelli, Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil Paolo Zunino, Dipartimento di Matematica, Politecnico di Milano, Milano, Italy
As of 2013, the SIMAI Springer Series opens to SEMA in order to publish a joint series (SEMA SIMAI Springer Series) aiming to publish advanced textbooks, research-level monographs and collected works that focus on applications of mathematics to social and industrial problems, including biology, medicine, engineering, environment and finance. Mathematical and numerical modeling is playing a crucial role in the solution of the complex and interrelated problems faced nowadays not only by researchers operating in the field of basic sciences, but also in more directly applied and industrial sectors. This series is meant to host selected contributions focusing on the relevance of mathematics in real life applications and to provide useful reference material to students, academic and industrial researchers at an international level. Interdisciplinary contributions, showing a fruitful collaboration of mathematicians with researchers of other fields to address complex applications, are welcomed in this series. THE SERIES IS INDEXED IN SCOPUS
More information about this series at http://www.springer.com/series/10532
Manuel Fernández-Martínez Juan Luis García Guirao Miguel Ángel Sánchez-Granero Juan Evangelista Trinidad Segovia •
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Fractal Dimension for Fractal Structures With Applications to Finance
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Manuel Fernández-Martínez Department of Sciences and Computation University Centre of Defence at Spanish Air Force Academy Santiago de la Ribera, Murcia, Spain
Juan Luis García Guirao Departamento de Matemática Aplicada y Estadística Universidad Politécnica de Cartagena Cartagena, Murcia, Spain
Miguel Ángel Sánchez-Granero Departamento de Matemáticas Universidad de Almería La Cañada de San Urbano, Almería, Spain
Juan Evangelista Trinidad Segovia Departamento de Ciencias Económicas y Empresariales Universidad de Almería La Cañada de San Urbano, Almería, Spain
ISSN 2199-3041 ISSN 2199-305X (electronic) SEMA SIMAI Springer Series ISBN 978-3-030-16644-1 ISBN 978-3-030-1664
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