2024/06/16 by Carrie Clark, Richard S. Laugesen, Clark, Carrie +1
Physics and Astronomy · Engineering · #Advanced Thermodynamics and Statistical Mechanics #Field-Flow Fractionation Techniques
paper · pdf · doi:10.48550/arxiv.2406.10781
Properties of Riesz capacity are developed with respect to the kernel exponent p ∈ (-∞,n), namely that capacity is monotonic as a function of p, that its endpoint limits recover the diameter and volume of the set, and that capacity is left-continuous with respect to p and is right-continuous provided (when p ≥ 0) that an additional hypothesis holds. Left and right continuity properties of the equilibrium measure are obtained too.