D. Krachun

most citedRotational invariance in critical planar lattice models

10 citations · 10 across the 4 of their papers we have counts for

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math.CO2026

Square-Difference-Free Sets beyond the Three-Quarter Barrier

Dmitry Krachun

Let $D (N)$ denote the largest cardinality of a subset of ${1, \dots, N}$ containing no nonzero square difference. While a construction certifying $D (N) \geq (1 - o (1)) N^{1/2}$ is alm…

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…