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- W4299683232 abstract "This paper contains four main results associated with an attractor of a projective iterated function system (IFS). The first theorem characterizes when a projective IFS has an attractor which avoids a hyperplane. The second theorem establishes that a projective IFS has at most one attractor. In the third theorem the classical duality between points and hyperplanes in projective space leads to connections between attractors that avoid hyperplanes and repellers that avoid points as well as hyperplane attractors that avoid points and repellers that avoid hyperplanes. Finally, an index is defined for attractors which avoid a hyperplane. This index is shown to be a nontrivial projective invariant." @default.
- W4299683232 created "2022-10-02" @default.
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- W4299683232 date "2010-03-17" @default.
- W4299683232 modified "2023-10-14" @default.
- W4299683232 title "Real Projective Iterated Function Systems" @default.
- W4299683232 doi "https://doi.org/10.48550/arxiv.1003.3473" @default.
- W4299683232 hasPublicationYear "2010" @default.
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