Lectures On Fractal Geometry
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A01=Martina Zaehle
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Author_Martina Zaehle
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Category1=Non-Fiction
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Dimensions of Borel Measures
Entropy and Metric Dimensions
eq_isMigrated=0
eq_isMigrated=2
eq_nobargain
Fractal Sets and Measures in Metric Spaces
Frostman Lemma
Graphs of Functions and Stochastic Processes
Hausdorff Measures and Hausdorff Dimensions
Language_English
Minkowski and Box Counting Dimensions in Euclidean Spaces
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Packing Measures and Packing Dimensions
Potential Theoretic Methods
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Related Dynamical Models
Self-Similar Sets and Measures
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Upper and Lower Fractional Densities
Product details
- ISBN 9789811283338
- Publication Date: 15 Mar 2024
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
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This book is based on a series of lectures at the Mathematics Department of the University of Jena, developed in the period from 1995 up to 2015. It is completed by additional material and extensions of some basic results from the literature to more general metric spaces.This book provides a clear introduction to classical fields of fractal geometry, which provide some background for modern topics of research and applications. Some basic knowledge on general measure theory and on topological notions in metric spaces is presumed.
