P. Ivanisvili

activity

20162026

most citedOn the failure of lower square function estimates in the non-homogeneous weighted setting

1 citations · 1 across the 25 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CO2026

Geometric Block Exponents and a Uniform Mixed-Alphabet Sumset Inequality

Johannes Hosle, Paata Ivanisvili

We study sharp exponents in inequalities for pairs of finite geometric blocks. We characterize exactly when the endpoint $t = 1$ determines the optimal exponent and compute the expon…

math.CO2024

Discrete Brunn-Minkowski Inequality for subsets of the cube

Lars Becker, Paata Ivanisvili, Dmitry Krachun +1

We show that for all $A, B \subseteq {0, 1, 2}^{d}$ we have $∣ A + B ∣ \geq (∣ A ∣∣ B ∣)^{l o g (5) / (2 l o g (3))} .$ We also show that for all finite $A, B \subset Z^{d}$ , and any $V…

math.CO2023

Covering the hypercube, the uncertainty principle, and an interpolation formula

Paata Ivanisvili, Ohad Klein, Roman Vershynin

We show that the minimal number of skewed hyperplanes that cover the hypercube ${0, 1}^{n}$ is at least $\frac{n}{2} + 1$ , and there are infinitely many $n$ 's when the hypercube can…