2 papers
math.FA2024
On maximal intersection position for logarithmically concave functions and measures
Steven Hoehner, Michael Roysdon
A new position is introduced and studied for the convolution of log-concave functions, which may be regarded as a functional analogue of the maximum intersection position of convex…
math.PR2022
Asymptotic expected -functionals of random polytopes with applications to surface areas
Steven Hoehner, Ben Li, Michael Roysdon +1
An asymptotic formula is proved for the expected -functional of the convex hull of independent and identically distributed random points sampled from the Euclidean unit sphere i…