Abstract
A trema set is constructed by cutting out of space a collection of random holes, to be called tremas. When the distribution of hole volumes is scaling, the trema set is a scaling fractal; its main parameter is a fractal dimension. This paper reports the correlations between 2 to 5 points in space, and between 2 to 4 directions in the sky. Thus a new parameter is introduced, to be called mean texture. Numerical and visual compararison with the data concerning galaxy distributions reveals an unexpectedly excellent fit.
Mandelbrot, Benoit
[1]
- International Business Machines Corp., Yorktown Heights, NY (USA)
Citation Formats
Mandelbrot, Benoit.
Correlations and texture in a new model hierarchical universe based upon trema sets.
France: N. p.,
1979.
Web.
Mandelbrot, Benoit.
Correlations and texture in a new model hierarchical universe based upon trema sets.
France.
Mandelbrot, Benoit.
1979.
"Correlations and texture in a new model hierarchical universe based upon trema sets."
France.
@misc{etde_5642041,
title = {Correlations and texture in a new model hierarchical universe based upon trema sets}
author = {Mandelbrot, Benoit}
abstractNote = {A trema set is constructed by cutting out of space a collection of random holes, to be called tremas. When the distribution of hole volumes is scaling, the trema set is a scaling fractal; its main parameter is a fractal dimension. This paper reports the correlations between 2 to 5 points in space, and between 2 to 4 directions in the sky. Thus a new parameter is introduced, to be called mean texture. Numerical and visual compararison with the data concerning galaxy distributions reveals an unexpectedly excellent fit.}
journal = []
volume = {288:1}
journal type = {AC}
place = {France}
year = {1979}
month = {Jan}
}
title = {Correlations and texture in a new model hierarchical universe based upon trema sets}
author = {Mandelbrot, Benoit}
abstractNote = {A trema set is constructed by cutting out of space a collection of random holes, to be called tremas. When the distribution of hole volumes is scaling, the trema set is a scaling fractal; its main parameter is a fractal dimension. This paper reports the correlations between 2 to 5 points in space, and between 2 to 4 directions in the sky. Thus a new parameter is introduced, to be called mean texture. Numerical and visual compararison with the data concerning galaxy distributions reveals an unexpectedly excellent fit.}
journal = []
volume = {288:1}
journal type = {AC}
place = {France}
year = {1979}
month = {Jan}
}