Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Sadovsky, Shay"'
We prove two special cases of a strengthened Gaussian correlation conjecture, due to Tehranchi, and show that if the conjecture holds asymptotically, it holds for any dimension. Additionally, we use these special cases to prove a refined version of t
Externí odkaz:
http://arxiv.org/abs/2407.15684
Autor:
Sadovsky, Shay
In this note we give a short proof of Godbersen's conjecture for the class of locally anti-blocking bodies. We show that all equality cases amongst locally anti-blocking bodies are for simplices, further supporting the conjecture. The proof of equali
Externí odkaz:
http://arxiv.org/abs/2312.03473
We explore alternative functional or transport-entropy formulations of the Blaschke-Santal{\'o} inequality and of its conjectured counterpart due to Mahler. In particular, we obtain new direct and reverse Blaschke-Santal{\'o} inequalities for s-conca
Externí odkaz:
http://arxiv.org/abs/2307.04393
In this note we study order reversing quasi involutions and their properties. These maps are dualities (order reversing involutions) on their image. We prove that any order reversing quasi involution is induced by a cost. Invariant sets of order reve
Externí odkaz:
http://arxiv.org/abs/2110.11308
We study optimal mass transport problems between two measures with respect to a non-traditional cost function, i.e. a cost $c$ which can attain the value $+\infty$. We define the notion of $c$-compatibility and strong-$c$-compatibility of two measure
Externí odkaz:
http://arxiv.org/abs/2104.04838
In this note, we present a unified approach to the problem of existence of a potential for the optimal transport problem with respect to non-traditional cost functions, that is costs that assume infinite values. We establish a new method which relies
Externí odkaz:
http://arxiv.org/abs/2011.13263
We study the class of (locally) anti-blocking bodies as well as some associated classes of convex bodies. For these bodies, we prove geometric inequalities regarding volumes and mixed volumes, including Godberson's conjecture, near-optimal bounds on
Externí odkaz:
http://arxiv.org/abs/2008.10394
Publikováno v:
Revista Mathematica Iberoamericana; 2024, Vol. 40 Issue 5, p1917-1952, 36p
Publikováno v:
Communications in Contemporary Mathematics; Apr2023, Vol. 25 Issue 3, p1-30, 30p
Akademický článek
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