P. Pivovarov

activity

20122026

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

2 citations · 2 across the 8 of their papers we have counts for

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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 $…

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