Dongmeng Xi

activity

20202026

most citedChord Measures in Integral Geometry and Their Minkowski Problems

31 citations · 50 across the 13 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.MG2023★ 4 cited

General Higher Order $L^{p}$ Mean Zonoids

Dylan Langharst, Dongmeng Xi

In 1970, Schneider introduced the higher-order difference body and the associated Rogers-Shephard inequality. Recently, Haddad, Langharst, Putterman, Roysdon and Ye expanded the co…

math.MG2023★ 1 cited

The Reverse-log-Brunn-Minkowski inequality

Dongmeng Xi

Firstly, we propose our conjectured Reverse-log-Brunn-Minkowski inequality (RLBM). Secondly, we show that the (RLBM) conjecture is equivalent to the log-Brunn-Minkowski (LBM) conje…

math.MG2023

The $L_{p}$ Chord Minkowski problem in a critical interval

Lujun Guo, Dongmeng Xi, Yiming Zhao

Chord measures and $L_{p}$ chord measures were recently introduced by Lutwak-Xi-Yang-Zhang by establishing a variational formula regarding a family of fundamental integral geometric…

General Higher Order Lp Mean Zonoids

The Reverse-log-Brunn-Minkowski inequality

The Lp​ Chord Minkowski problem in a critical interval

General Higher Order $L^{p}$ Mean Zonoids

The $L_{p}$ Chord Minkowski problem in a critical interval