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6533b835fe1ef96bd129ea40

RESEARCH PRODUCT

Generalized Dimension Distortion under Mappings of Sub-Exponentially Integrable Distortion

Aleksandra ZapadinskayaThomas ZürcherTapio Rajala

subject

Integrable systemMathematics - Complex VariablesGeneral MathematicsModulota111Mathematical analysisData_MISCELLANEOUSComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONData_CODINGANDINFORMATIONTHEORY30C62Distortion (mathematics)Exponential growthDimension (vector space)TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYEuclidean geometryFOS: MathematicsComplex Variables (math.CV)Constant (mathematics)MathematicsMathematicsofComputing_DISCRETEMATHEMATICS

description

We prove a dimension distortion estimate for mappings of sub-exponentially integrable distortion in Euclidean spaces, which is essentially sharp in the plane.

yearjournalcountryeditionlanguage
2010-06-03
http://arxiv.org/abs/1006.0553
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