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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.
Here's the New York Times bestseller that tells what Americans really believe about everything. Based on a national survey of private morals--the most extensive ever undertaken anywhere--it's sometimes funny, often shocking, but always fascinating.
While there is growing evidence of the importance of marine ecosystems for our societies, evidence shows also that pressures from human activities on these ecosystems are increasing, putting the health of marine ecosystems at stake worldwide. Hence, Blue Economy is becoming an important component of future socio-economic development strategies (e.g. this is called Blue Growth in Europe), that eventually can result in increasing pressures at sea, and despite the current regulatory framework (in particular with the Oceans Act, in USA or Canada, and the Marine Strategy Framework Directive, in Europe), it is likely that this situation will continue in the future. Ensuring all those connected to the sea, directly or indirectly, gain a better understanding of the importance of the seas, the human-sea interactions and opportunities to act better and reduce impacts from human pressures, is central to Ocean Literacy (OL). Receiving increasing attention in Europe and USA, OL is a challenge for all parts of society: educators & trainers, children and professionals, civil society and scientists, consumers and policy/decision makers. It is seen as part of the package of solutions that will lead to a change in behavior and practice, thus reducing impacts and resulting in healthier marine ecosystems, whilst allowing development opportunities offered by seas are seized in a sustainable manner. This Research Topic focuses on the issues and options for effective OL worldwide. It discusses: (1) existing experiences in OL (formal and informal education for children, training for professionals, tools for raising awareness of consumers - and of investors in the marine sectors...) and their effectiveness (from understanding better to acting differently); (2) the role OL could play (in interaction with innovation, regulation, economic incentive, social norms...) to support human capital development as key component of sustainable growth; and (3) pre-conditions for effective OL for different sectors and target groups. Questions relevant to OL include: Which knowledge - produced by whom - to share and how? Who to target - and how to effectively reach those targeted? How to design OL initiatives - including by mobilizing those targeted (via living lab approaches e.g.) - to ensure effective OL and pave the way for behavior change? What are the knowledge gaps that limit our capacity to design effective OL? As scientists, it is likely you have many more questions to offer and discuss.