6533b85ffe1ef96bd12c1ae4

RESEARCH PRODUCT

Self-affine sets in analytic curves and algebraic surfaces

De-jun FengAntti Käenmäki

subject

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

description

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

http://urn.fi/URN:NBN:fi:jyu-201903201914