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Pointwise Dimension
Definition
D_P(x) congruent lim_(ϵ->0) (ln μ(B_ϵ(x)))/(ln ϵ), where B_ϵ(x) is an n-dimensional ball of radius ϵ centered at x and μ is the probability measure.
Related terms
D_P(x) congruent lim_(ϵ->0) (ln μ(B_ϵ(x)))/(ln ϵ), where B_ϵ(x) is an n-dimensional ball of radius ϵ centered at x and μ is the probability measure.