3 papers
math.MG2026
On the Perelman-Pukhov quotient of successive radii: better and asymptotically optimal bounds
Bernardo González Merino, Beatriz Marín Gimeno, Mia Runge
Perel'man in 1987 and independently Pukhov in 1979 proved that the quotient between the -th successive outer radius and the -th successive inner radius of a convex body…
math.MG2026
On isoperimetric local-Bollobás-Thomason inequalities
Luis J. Alías, Bernardo González Merino, Beatriz Marín Gimeno
We prove the following isoperimetric-type inequality: for every convex body in and some there exists a suitable Hanner polytope …
math.MG2025
On local Liakopoulos-Meyer type inequalities and their functional counterparts
Luis J. Alías, Bernardo González Merino, Beatriz Marín Gimeno
We provide a functional Rogers-Shephard type inequality for log-concave functions on and any -reducible -cover of . As a consequence, we derive a sharp loc…