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K.J. Falconer and Y.M Xiao, Order-two densities of the image and zero set of stable processes, Stoch.Proc.Appl., 55(1995), 271-283.

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Symmetry Properties of Average Densities and Tangent Measure.. - Mörters (1996)   (1 citation)  (Correct)

....D ( x) D ( x) and in this case the joint value is denoted by D ( x) Bedford and Fisher show that the average density exists almost everywhere for Hausdor measure on hyperbolic Cantor sets and zero sets of Brownian motion. Recently other authors (see for example [5] 19] and [7]) have extended this result to various other classes of fractal measures with self similarity properties. Average densities have also been used for the investigation of general measures with positive lower and nite upper densities. For example, Falconer and Springer in [6] and Marstrand in [11] ....

K.J. Falconer and Y.M Xiao, Order-two densities of the image and zero set of stable processes, Stoch.Proc.Appl., 55(1995), 271-283.


On One-Sided Average Densities of Fractal Measures on the Line - Mörters, Preiss (1996)   (Correct)

.... Gamma ( x) Average densities are also known as order two densities. Bedford and Fisher show that the lower and upper average density agree almost everywhere for Hausdorff measure on hyperbolic Cantor sets and zero sets of Brownian motion. Recently, many other authors (see for example [Fal92] [FX93] and [PZ93] 1 have shown that for particular classes of fractal measures the lower and upper average densities agree. This also applies to the one sided average densities. But average densities can also be used for the investigation of more general measures. For example, Falconer and Springer ....

K.J. Falconer and Y.M Xiao. Order-two densities of the image and zero set of stable processes. Preprint, University of St.Andrews, 1993.


Symmetry Properties of Average Densities and Tangent Measure.. - Mörters   (Correct)

No context found.

K.J. Falconer and Y.M Xiao, Order-two densities of the image and zero set of stable processes, Stoch.Proc.Appl., 55(1995), 271-283.


On One-Sided Average Densities of Fractal Measures on the Line - Mörters, Preiss   (Correct)

No context found.

K.J. Falconer and Y.M Xiao. Order-two densities of the image and zero set of stable processes. Preprint, University of St.Andrews, 1993.

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