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Your search keyword '"King Shun Leung"' showing total 2 results
Start Over "King Shun Leung" Publication Year Range Last 50 years Journal monatshefte fur mathematik
2 results on '"King Shun Leung"'

1. Radix expansions and connectedness of planar self-affine fractals

Author

King Shun Leung and Lian Wang

Subjects
Combinatorics, Physics, Matrix (mathematics), Fractal, Social connectedness, General Mathematics, Radix, Affine transformation, Linear independence, Characterization (mathematics), Characteristic polynomial
Abstract

Let A be an expanding matrix with characteristic polynomial $$f(x)=x^2+px+3$$ and $$\mathcal {D}=\{0,v,\ell v+kAv\}$$ be a digit set where $$\ell ,k\in {\mathbb {Z}},\ v\in {\mathbb {R}}^2$$ so that $$\{v,Av\}$$ is linearly independent. It is well known that there exists a unique self-affine fractal T satisfying $$AT=T+\mathcal {D}$$ . In this paper, we give a complete characterization for the connectedness of T by using radix expansion.

Published
2020

2. Radix expansions and connectedness of planar self-affine fractals.

Author

Wang, Lian and Leung, King-Shun

Abstract

Let A be an expanding matrix with characteristic polynomial f (x) = x 2 + p x + 3 and D = { 0 , v , ℓ v + k A v } be a digit set where ℓ , k ∈ Z , v ∈ R 2 so that { v , A v } is linearly independent. It is well known that there exists a unique self-affine fractal T satisfying A T = T + D . In this paper, we give a complete characterization for the connectedness of T by using radix expansion. [ABSTRACT FROM AUTHOR]

Published
2020
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