Abstract

Let X = { X ( t ) , t ∈ R + } be a dilation-stable process on R d . We determine a Hausdorff measure function ϕ ( a ) such that the fractal set X [ 0 , 1 ] = { X ( t ) : 0 ⩽ t ⩽ 1 } has positive finite ϕ-measure. We also investigate the packing measure of X [ 0 , 1 ] .

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