5,958 research outputs found
Uniform disconnectedness and Quasi-Assouad Dimension
The uniform disconnectedness is an important invariant property under
bi-Lipschitz mapping, and the Assouad dimension implies the
uniform disconnectedness of . According to quasi-Lipschitz mapping, we
introduce the quasi-Assouad dimension such that
implies its quasi uniform disconnectedness. We obtain and compute the quasi-Assouad dimension
of Moran set
Algorithms to test open set condition for self-similar set related to P.V. numbers
Fix a P.V. number Given
,
\mathbf{b}=(b_{1},\cdots,b_{m})\in \mathbb{Q^{m}, for the self-similar set
we find an efficient algorithm to
test whether satisfies the open set condition
(strong separation condition) or not
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