0000000000679118

AUTHOR

De-jun Feng

showing 2 related works from this author

Local conical dimensions for measures

2012

AbstractWe study the decay of μ(B(x,r)∩C)/μ(B(x,r)) asr↓ 0 for different kinds of measures μ on ℝnand various conesCaroundx. As an application, we provide sufficient conditions that imply that the local dimensions can be calculated via cones almost everywhere.

PhysicsMathematics - Classical Analysis and ODEsGeneral MathematicsPrimary 28A80 Secondary 28A75 28A12ta111Mathematical analysisClassical Analysis and ODEs (math.CA)FOS: MathematicsAlmost everywhereConical surface
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Self-affine sets in analytic curves and algebraic surfaces

2018

We characterize analytic curves that contain non-trivial self-affine sets. We also prove that compact algebraic surfaces do not contain non-trivial self-affine sets. peerReviewed

Pure mathematicsGeneral Mathematicsta111010102 general mathematicsDynamical Systems (math.DS)01 natural sciencesself-affine setanalytic curvefractals0103 physical sciencesAlgebraic surfacealgebraic surfaceFOS: Mathematicsfraktaalit010307 mathematical physicsAffine transformationMathematics - Dynamical Systems0101 mathematicsMathematics
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