Mikhail I. Ostrovskii

activity

20082026

most citedUnitarizable representations and fixed points of groups of biholomorphic transformations of operator balls

8 citations · 19 across the 8 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.FA2026

Quotients of $L_{1}$ by subsequences of the Haar system have cotype 2

Stephen Dilworth, Denka Kutzarova, Mikhail Ostrovskii +1

Let $Y$ be the closed linear span of a subsequence of the Haar system in $L_{1}$ . We prove that the quotient space $L_{1} / Y$ has cotype~ $2$ . This result implies that transportation cos…

math.FA2026

$L_{1}$ -distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids

Chris Gartland, Mikhail Ostrovskii, Yuval Rabani +1

We prove that the distortion of any embedding into $L_{1}$ of the transportation cost space or earth mover distance over a $d$ -dimensional grid ${1, \dots m}^{d}$ is $Ω (lo g N)$ , wher…

math.FA2026★ 1 cited

Lower Estimates for $L_{1}$ -Distortion of Transportation Cost Spaces

Chris Gartland, Mikhail Ostrovskii

Quantifying the degree of dissimilarity between two probability distributions on a finite metric space is a fundamental task in Computer Science and Computer Vision. A natural diss…

Quotients of L1​ by subsequences of the Haar system have cotype 2

L1​-distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids

Lower Estimates for L1​-Distortion of Transportation Cost Spaces

Quotients of $L_{1}$ by subsequences of the Haar system have cotype 2

$L_{1}$ -distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids

Lower Estimates for $L_{1}$ -Distortion of Transportation Cost Spaces