Elliptic Theory for Sets with Higher Co-Dimensional Boundaries
Guy David, Joseph Feneuil, Svitlana Mayboroda
Häftad, 2022
1 022 kr
Fractured Fractals and Broken Dreams
Self-similar Geometry through Metric and Measure
Inbunden, Engelska, 1997
Del 7 i serien Oxford Lecture Series in Mathematics and Its Applications
3 017 kr
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Beskrivning
This book proposes new notions of coherent geometric structure. Fractal patterns have emerged in many contexts, but what exactly is a "pattern" and what is not? How can one make precise the structures lying within objects and the relationships between them? The foundations laid herein provide a fresh approach to a familiar field. From this emerges a wide range of open problems, large and small, and a variety of examples with diverse connections to other parts of mathematics.One of the main features of the present text is that the basic framework is completely new. This makes it easier for people to get into the field. There are many open problems, with plenty of opportunities that are likely to be close at hand, particularly as concerns the exploration of examples. On the other hand the general framework is quite broad and provides the possibility for future discoveries of some magnitude.Fractual geometries can arise in many different ways mathematically, but there is not so much general language for making comparisons. This book provides some tools for doing this, and a place where researchers in different areas can find common ground and basic information.
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