activity
20092026
most citedA remark on the Mahler conjecture: local minimality of the unit cube

60 citations · 80 across the 17 of their papers we have counts for

collaborators
Showing 2021Show all

2 papers · 1 filter

math.CA2021

A negative answer to Ulam's Problem 19 from the Scottish Book

Dmitry Ryabogin

We give a negative answer to Ulam's Problem 19 from the Scottish Book asking {\it is a solid of uniform density which will float in water in every position a sphere?} Assuming that…

math.MG2021

A solution to the Fifth and the Eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball

M. Angeles Alfonseca, Fedor Nazarov, Dmitry Ryabogin +1

We show that the fifth and the eighth Busemann-Petty problems have positive solutions for bodies that are sufficiently close to the Euclidean ball in the Banach-Mazur distance.