A. Magazinov

activity

20162022

most citedTortured phrases: A dubious writing style emerging in science. Evidence of critical issues affecting established journals

187 citations · 205 across the 4 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.MG2017

On a conjecture by Eckhoff and Dolnikov concerning line transversals to Euclidean disks

Alexander Magazinov

Let $K$ be a convex body in the Euclidean plane $R^{2}$ . We say that a point set $X \subseteq R^{2}$ satsfies the property $T (K)$ if the family of translates $\{ K + x…

math-ph2017

On percolation of two-dimensional hard disks

Alexander Magazinov

We consider the hard-core model in $R^{2}$ , in which a random set of non-intersecting unit disks is sampled with an intensity parameter $λ$ . Given $ε > 0$ we conside…

math.MG2017

A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell

Alexander Magazinov

In this short note we prove a sharp lower bound for the second moment of a lattice Voronoi cell in terms of the respective covering radius. This gives an affirmative answer to a co…