6533b82ffe1ef96bd12952e3

RESEARCH PRODUCT

Porosities and dimensions of measures

Jean-pierre EckmannEsa JärvenpääMaarit Järvenpää

subject

Applied MathematicsAstrophysics (astro-ph)Mathematical analysisFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Chaotic Dynamics (nlin.CD)Nonlinear Sciences - Chaotic DynamicsAstrophysicsPorosityMathematical PhysicsMathematics

description

We introduce a concept of porosity for measures and study relations between dimensions and porosities for two classes of measures: measures on $R^n$ which satisfy the doubling condition and strongly porous measures on $R$.

https://doi.org/10.1088/0951-7715/13/1/301