BOOK-CHAPTER
Problems on Self-similar Sets and Self-affine Sets: An Update
Year: 2000 Birkhäuser Basel eBooks Pages: 95-106
Abstract
Self-similar sets that satisfy a certain separation condition (the open set condition) are quite well understood. However, self-similar sets with "overlap", and self-affine sets (with or without overlap) still retain many mysteries. We list a few of these unsolved problems, and give references for the relevant background.
Keywords:
Affine transformation Set (abstract data type) Open set Self consistent Mathematics Computer science Combinatorics Pure mathematics Physics
Metrics
45
Cited By
1.91
FWCI (Field Weighted Citation Impact)
57
Refs
0.87
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Mathematical Dynamics and Fractals
Physical Sciences → Mathematics → Mathematical Physics
Advanced Topology and Set Theory
Physical Sciences → Mathematics → Geometry and Topology
Functional Equations Stability Results
Physical Sciences → Mathematics → Applied Mathematics
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