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Can I read Sets Resilient to Erosion on EtoBox?
Sets Resilient to Erosion by Wesley Pegden is a Mathematics article available to read on EtoBox.
What is Sets Resilient to Erosion about?
## Abstract The __erosion__ of a set __X__ in Euclidean space by a radius __r__ > 0 is the subset of __X__ consisting of points at distance ≥ __r__ from the complement of __X__. A set is __resilient__ to erosion if it is similar to its erosion by some positive radius. We give a somewhat surprising characterization of resilient sets, consisting in one part of simple geometric constraints on convex resilient sets, and, in another, a correspondence between nonconvex resilient sets and scale-invariant (e.g., ‘exact fractal’) sets.
Who reads Sets Resilient to Erosion?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Wesley Pegden
- Publisher
- Walter de Gruyter GmbH
- Published
- 2011
- Language
- EN
- Field
- Mathematics (Physical Sciences)