3 papers
math.MG2025
Extensions of the Busemann-Petty Problem for Arbitrary Measures
Daniel Galicer, Julián Haddad, Joaquín Singer
The classical Busemann--Petty problem asks whether smaller central hyperplane sections of origin-symmetric convex bodies imply smaller total volume. Zvavitch studied the analogous…
math.PR2025
Sampling properties of the zeroes of the Gaussian entire function
Jeremiah Buckley, Felipe Marceca, Joaquín Singer
We study sampling properties of the zero set of the Gaussian entire function on Fock spaces. Firstly, we relax Seip and Wallstén's density and separation conditions for sampling se…
math.MG2023
Hadwiger's problem for bodies with enough sub-Gaussian marginals
Daniel Galicer, Joaquín Singer
Hadwiger's conjecture in convex geometry, formulated in 1957, states that every convex body in can be covered by translations of its interior. Despite signific…