On the construction, properties and Hausdorff dimension of random Cantor one <em>p</em><sup><em>th</em></sup> set

On the construction, properties and Hausdorff dimension of random Cantor one <em>p</em><sup><em>th</em></sup> set

In 1883, German Mathematician George Cantor introduced Cantor ternary set which is a self-similar fractal. K. J. Falconer (1990) defined random Cantor set with statistical self-similarity. The purpose of this paper is to introduce generalized random Cantor sets (one 5<sup><em>th</em&g...

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Bibliographic Details
Main Authors: Sudesh Kumari, Renu Chugh, Jinde Cao, Chuangxia Huang
Format: Article
Language:English
Published: AIMS Press 2020-04-01
Series:AIMS Mathematics
Subjects:
nonlinear dynamics
random construction
random cantor one <i>p</i><sup><i>th</i></sup> set
hausdorff dimension
martingale
probability
Online Access:https://www.aimspress.com/article/10.3934/math.2020202/fulltext.html

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https://www.aimspress.com/article/10.3934/math.2020202/fulltext.html

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