Aproximación fractal para semivariogramas freáticos

Hausdorff’s measure is integrated upon, and H¨older’s exponent is obtained as thecodimension DT ? D of the fractal in the Euclidian space in which it is immersed.This has resulted from the application of Daniell’s integral conception, which makesit possible to integrate Lipschitz’s and H¨older’s fun...

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Autores Principales: Mercado Escalante, José Roberto, Lázaro Ch., P., Brambila P., F., Fuentes R., C.
Formato: Artículo
Idioma: Español
Publicado: 2015
Acceso en línea: http://revistas.ucr.ac.cr/index.php/matematica/article/view/219
http://hdl.handle.net/10669/12861
Sumario: Hausdorff’s measure is integrated upon, and H¨older’s exponent is obtained as thecodimension DT ? D of the fractal in the Euclidian space in which it is immersed.This has resulted from the application of Daniell’s integral conception, which makesit possible to integrate Lipschitz’s and H¨older’s functions into Baire’s measures andto define fractal space with Hutchinson’s metric.The power for the potentiated model of the semivariograms of stationary processesis obtained. It is applied to the levels of the phreatic strata of Valle del Carrizo,Sinaloa, Mexico, and the experimental semivariograms, and those of the adjustmentwith a potential model are created, with the finding that its power is = 1,5. It isalso found that the fractal dimension of these strata is 2,25.Keywords: fractals, H¨older, codimension, similarity, semivariogram, groundwater.