How Long to Read Fractal Dimension for Fractal Structures

By Manuel Fernández-Martínez

How Long Does it Take to Read Fractal Dimension for Fractal Structures?

It takes the average reader 3 hours and 27 minutes to read Fractal Dimension for Fractal Structures by Manuel Fernández-Martínez

Assuming a reading speed of 250 words per minute. Learn more

Description

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 when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension including non-Euclidean contexts. In addition, the book applies these fractal dimensions to explore long-memory in financial markets. In particular, novel results linking both fractal dimension and the Hurst exponent are provided. As such, the book provides a number of algorithms for properly calculating the self-similarity exponent of a wide range of processes, including (fractional) Brownian motion and Lévy stable processes. The algorithms also make it possible to analyse long-memory in real stocks and international indexes. This book is addressed to those researchers interested in fractal geometry, self-similarity patterns, and computational applications involving fractal dimension and Hurst exponent.

How long is Fractal Dimension for Fractal Structures?

Fractal Dimension for Fractal Structures by Manuel Fernández-Martínez is 204 pages long, and a total of 51,816 words.

This makes it 69% the length of the average book. It also has 63% more words than the average book.

How Long Does it Take to Read Fractal Dimension for Fractal Structures Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 43 minutes to read Fractal Dimension for Fractal Structures aloud.

What Reading Level is Fractal Dimension for Fractal Structures?

Fractal Dimension for Fractal Structures is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Fractal Dimension for Fractal Structures?

Fractal Dimension for Fractal Structures by Manuel Fernández-Martínez is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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