Geodesic
Logarithmic bounds for isoperimetry and slices of convex sets
Ars Inveniendi Analytica (2023).

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We prove that the Bourgain slicing conjecture and the Kannan-Lov\'asz-Simonovits (KLS) isoperimetric conjecture in $\mathbb{R}^n$ hold true up to a factor of $\sqrt{\log n}$. A new ingredient used in the proof is an improved log-concave Lichnerowicz inequality.
Publié le :
DOI : 10.15781/jsjy-0b06 
@article{10_15781_jsjy_0b06,
     author = {Bo'az Klartag},
     title = {Logarithmic bounds for isoperimetry and slices of convex sets},
     journal = {Ars Inveniendi Analytica},
     publisher = {mathdoc},
     year = {2023},
     doi = {10.15781/jsjy-0b06},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.15781/jsjy-0b06/}
}
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Bo'az Klartag. Logarithmic bounds for isoperimetry and slices of convex sets. Ars Inveniendi Analytica (2023). doi : 10.15781/jsjy-0b06. http://geodesic.mathdoc.fr/articles/10.15781/jsjy-0b06/

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