Calculating Hausdorff Dimension in Higher Dimensional Spaces

Calculating Hausdorff Dimension in Higher Dimensional Spaces

In this paper, we prove the identity dimH(F)=d⋅dimH(α−1(F)) , where dimH denotes Hausdorff dimension, F⊆Rd , and α:[0,1]→[0,1]d is a function whose constructive definition is addressed from the viewpoint of the powerful concept of a fractal structure. Such a result stands particularly from some othe...

Полное описание

Библиографические подробности
Главные авторы:	Fernández Martínez, Manuel, García Guirao, Juan Luis, Sánchez Granero, Miguel Ángel
Формат:	info:eu-repo/semantics/article
Язык:	English
Опубликовано:	MDPI 2020
Предметы:	Hausdorff dimension fractal structure space-filling curve
Online-ссылка:	http://hdl.handle.net/10835/7577

Схожие документы

Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach
по: Gálvez Rodríguez, José Fulgencio, и др.
Опубликовано: (2022)

Supports of quasi-copulas
по: Fernández Sánchez, Juan, и др.
Опубликовано: (2023)

Clasificación de objetos similares
по: Bueno Benito, Elena B.
Опубликовано: (2019)

Dimensions for evaluating university quality in the European Space for Higher Education.
по: González López, Ignacio
Опубликовано: (2012)

Preservation of extreme points
по: Mena-Jurado, Juan Francisco, и др.
Опубликовано: (2022)

Wings into space: the history and future of winged space flight
по: Caidin, Martin

Influence of Teaching Style on Physical Education Adolescents’ Motivation and Health-Related Lifestyle
по: Trigueros Ramos, Rubén, и др.
Опубликовано: (2020)

Our space environment
по: Stern, Phillip D.

Unmanned space flight
по: Naugle, John E.

Thrust space flight
по: Hunter, Maxwell W.

Manned space flight
по: Faget, Max

Conjuntos autosimilares y dimesión fractal
по: Villegas Rodríguez, Manuel Jaime
Опубликовано: (2015)

Mobiliario Fractal
по: Duchitanga Ayavaca, Braulio Anibal
Опубликовано: (2013)

Completion of probabilistic normed spaces
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

Normability of probabilistic normed spaces
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

On alpha-Serstnev probabilistic normed spaces
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

Finite products of probabilistic normed spaces
по: Lafuerza Guillén, Bernardo
Опубликовано: (2014)

Total boundedness in probabilistic normed spaces
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

Countable products of probabilistic normed spaces
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

The Kuznets Curve Hypothesis Checked Out on Up-To-Date Observations in African Countries
по: Martínez Navarro, Diego, и др.
Опубликовано: (2023)

A study of boundedness in probabilistic normed spaces
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

Invariant and semi-invariant probabilistic normed spaces
по: Ghaemi, M.B., и др.
Опубликовано: (2014)

A study of boundedness in probabilistic normed spaces
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

Quotient probabilistic normed spaces and completeness results
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

On ideal convergence of double sequences in probabilistic normed spaces
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

Statistical convergence in strong topology of probabilistic normed spaces
по: Lafuerza Guillén, Bernardo, и др.
Опубликовано: (2014)

Probabilistic total paranorms, F-norms and PN spaces
по: Ghaemi, M.B., и др.
Опубликовано: (2014)

A study of boundedness in probabilistic normed spaces(II)
по: Lafuerza Guillén, Bernardo
Опубликовано: (2014)

Comparación de las propiedades mecánicas y físicas de las resinas Bulk Fill versus resinas convencionales
по: Benavides Velepucha, Joselin Beatriz, и др.
Опубликовано: (2021)

A common fixed point for operators in probabilistic normed spaces
по: Ghaemi, M.B., и др.
Опубликовано: (2014)

Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces
по: Harikrishnan, P.K., и др.
Опубликовано: (2014)

Some properties of continuous linear operator in topological vector PN spaces
по: Gaemi, M.B., и др.
Опубликовано: (2014)

Construction of Fuzzy Measures over Product Spaces
по: Reche Lorite, Fernando, и др.
Опубликовано: (2020)

Spaced Retrieval Practice Applied to Vocabulary Learning in Secondary Education
по: León Romero, Héctor Daniel
Опубликовано: (2018)

Design of a Low-Cost Multiplexer for the Study of the Impact of Soiling on PV Panel Performance
по: López, Gabriel, и др.
Опубликовано: (2021)

International MOOC Trends in Citizenship, Participation and Sustainability: Analysis of Technical, Didactic and Content Dimensions
по: Delgado Algarra, Emilio José, и др.
Опубликовано: (2020)

Space Within
по: Sigal, Rodrigo

Espacios exteriores: outdoor spaces strategies and design

Unified Compact ECC-AES Co-Processor with Group-Key Support for IoT Devices in Wireless Sensor Networks
по: Parrilla, Luis, и др.
Опубликовано: (2020)

Valuation Fuzzy Soft Sets: A Flexible Fuzzy Soft Set Based Decision Making Procedure for the Valuation of Assets
по: R. Alcantud, José Carlos, и др.
Опубликовано: (2020)