Inequalities between intrinsic metrics

1977 ◽  
Vol 67 (1) ◽  
pp. 50-50 ◽  
Author(s):  
Jacob Burbea
Keyword(s):  
Intrinsic Metrics

Intrinsic Metrics: Definition and Basic Facts

2021 ◽  
pp. 443-467
Author(s):  
Matthias Keller ◽  
Daniel Lenz ◽  
Radosław K. Wojciechowski
Keyword(s):  
Intrinsic Metrics ◽  
Basic Facts

Isometries of intrinsic metrics on strictly convex domains

1987 ◽  
Vol 196 (3) ◽  
pp. 343-353 ◽  
Author(s):  
Kam-Wing Leung ◽  
Giorgio Patrizio ◽  
Pit-Mann Wong
Keyword(s):  
Convex Domains ◽  
Intrinsic Metrics ◽  
Strictly Convex

scholarly journals Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory

2014 ◽  
Vol 266 (8) ◽  
pp. 4765-4808 ◽  
Author(s):  
Rupert L. Frank ◽  
Daniel Lenz ◽  
Daniel Wingert
Keyword(s):  
Spectral Theory ◽  
Dirichlet Forms ◽  
Intrinsic Metrics ◽  
Non Local

scholarly journals Intrinsic Metric Formulas on Some Self-Similar Sets via the Code Representation

2019 ◽  
Vol 3 (1) ◽  
pp. 13
Author(s):  
Melis Güneri ◽  
Mustafa Saltan
Keyword(s):  
Sierpinski Gasket ◽  
Intrinsic Metric ◽  
Explicit Formulas ◽  
Sierpiński Gasket ◽  
Intrinsic Metrics ◽  
Geometrical Properties ◽  
Self Similar ◽  
Sierpinski Gaskets

In recent years, intrinsic metrics have been described on various fractals with different formulas. The Sierpinski gasket is given as one of the fundamental models which defined the intrinsic metrics on them via the code representations of the points. In this paper, we obtain the explicit formulas of the intrinsic metrics on some self-similar sets (but not strictly self-similar), which are composed of different combinations of equilateral and right Sierpinski gaskets, respectively, by using the code representations of their points. We then express geometrical properties of these structures on their code sets and also give some illustrative examples.

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