Search results for "analytic curve"

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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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