scholarly journals Isomorphism and bi-Lipschitz equivalence between the univoque sets

2020 ◽  
Vol 40 (11) ◽  
pp. 6089-6114
Author(s):  
Kan Jiang ◽  
◽  
Lifeng Xi ◽  
Shengnan Xu ◽  
Jinjin Yang
Keyword(s):  
Lipschitz Equivalence

scholarly journals Determinantal variety and normal embedding

2017 ◽  
Vol 10 (01) ◽  
pp. 27-34 ◽  
Author(s):  
K. Katz ◽  
M. Katz ◽  
D. Kerner ◽  
Y. Liokumovich
Keyword(s):  
Metric Space ◽  
Space Structure ◽  
The Other ◽  
Intrinsic Metric ◽  
Lipschitz Equivalence ◽  
Other Hand ◽  
Determinantal Variety ◽  
Conical Structure ◽  
Positive Determinant

The space [Formula: see text] of matrices of positive determinant inherits an extrinsic metric space structure from [Formula: see text]. On the other hand, taking the infimum of the lengths of all paths connecting a pair of points in [Formula: see text] gives an intrinsic metric. We prove bi-Lipschitz equivalence between intrinsic and extrinsic metrics on [Formula: see text], exploiting the conical structure of the stratification of the space of [Formula: see text] matrices by rank.

scholarly journals Lipschitz equivalence of self-similar sets and hyperbolic boundaries II

2015 ◽  
Vol 2 (1) ◽  
pp. 53-79 ◽  
Author(s):  
Guo-Tai Deng ◽  
Ka-Sing Lau ◽  
Jun Luo
Keyword(s):  
Lipschitz Equivalence ◽  
Self Similar

Lipschitz equivalence of fractal sets in ℝ

2012 ◽  
Vol 55 (10) ◽  
pp. 2095-2107 ◽  
Author(s):  
GuoTai Deng ◽  
XingGang He
Keyword(s):  
Lipschitz Equivalence ◽  
Fractal Sets

scholarly journals Lipschitz equivalence of a class of self-similar sets with complete overlaps

2012 ◽  
Vol 37 ◽  
pp. 229-243 ◽  
Author(s):  
Qiuli Guo ◽  
Hao Li ◽  
Qin Wang ◽  
Lifeng Xi
Keyword(s):  
Lipschitz Equivalence ◽  
Self Similar

scholarly journals Blow-analytic equivalence versus contact bi-Lipschitz equivalence

2018 ◽  
Vol 70 (3) ◽  
pp. 989-1006
Author(s):  
Lev BIRBRAIR ◽  
Alexandre FERNANDES ◽  
Vincent GRANDJEAN ◽  
Terence GAFFNEY
Keyword(s):  
Lipschitz Equivalence

scholarly journals Invariants for bi-Lipschitz equivalence of ideals

2017 ◽  
Vol 68 (3) ◽  
pp. 791-815 ◽  
Author(s):  
Carles Bivià-Ausina ◽  
Toshizumi Fukui
Keyword(s):  
Lipschitz Equivalence

scholarly journals Lipschitz equivalence of a class of general Sierpinski carpets

2012 ◽  
Vol 385 (1) ◽  
pp. 16-23 ◽  
Author(s):  
Zhixiong Wen ◽  
Zhiyong Zhu ◽  
Guotai Deng
Keyword(s):  
Lipschitz Equivalence ◽  
Sierpinski Carpets

On the Lipschitz equivalence of Cantor sets

Mathematika ◽  
1992 ◽  
Vol 39 (2) ◽  
pp. 223-233 ◽  
Author(s):  
K. J. Falconer ◽  
D. T. Marsh
Keyword(s):  
Cantor Sets ◽  
Lipschitz Equivalence
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