P. Simanjuntak

most citedFrom intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.MG2026

Empirical dual volumes

Grigoris Paouris, Peter Pivovarov, Paul Simanjuntak

We introduce an empirical version of dual volumes within dual Brunn--Minkowski theory. These provide a simple model for computation and analysis under symmetrization, including mom…

math.MG2022★ 2 cited

From intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry

Radoslaw Adamczak, Grigoris Paouris, Peter Pivovarov +1

We establish a family of isoperimetric inequalities for sets that interpolate between intersection bodies and dual Lp centroid bodies. This provides a bridge between the Busemann i…

math.PR2022

Limit theorems for the volumes of small codimensional random sections of $ℓ_{p}^{n}$ -balls

Radosław Adamczak, Peter Pivovarov, Paul Simanjuntak

We establish Central Limit Theorems for the volumes of intersections of $B_{p}^{n}$ (the unit ball of $ℓ_{p}^{n}$ ) with uniform random subspaces of codimension $d$ for fixed $d$ and $…

Empirical dual volumes

From intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry

Limit theorems for the volumes of small codimensional random sections of ℓpn​-balls

Limit theorems for the volumes of small codimensional random sections of $ℓ_{p}^{n}$ -balls