Zobrazeno 1 - 10
of 169
pro vyhledávání: '"Leng, Gangsong"'
We present a complete classification of $\operatorname{SL}(n)$ contravariant, $C(\mathbb{R}^n\setminus\{o\})$-valued valuations on polytopes, without any additional assumptions.It extends the previous results of the second author [Int. Math. Res. Not
Externí odkaz:
http://arxiv.org/abs/2403.12890
Publikováno v:
Adv. in Appl. Math.142(2023), Paper No. 102434, 31 pp
In this paper we study a class of convex sets which are called closed pseudo-cones and study a new duality of this class. It turns out that the duality characterizes closed pseudo-cones and is essentially the only possible abstract duality of them.Th
Externí odkaz:
http://arxiv.org/abs/2203.09666
Publikováno v:
In Advances in Applied Mathematics June 2024 157
Publikováno v:
In Advances in Applied Mathematics January 2023 142
Autor:
Li, Jin, Leng, Gangsong
Publikováno v:
Adv. Math. 299 (2016) 139-173
For $1 \leq p < \infty$, Ludwig, Haberl and Parapatits classified $L_p$ Minkowski valuations intertwining the special linear group with additional conditions such as homogeneity and continuity. In this paper,a complete classification of $L_p$ Minkows
Externí odkaz:
http://arxiv.org/abs/1802.07561
Publikováno v:
Trans. Amer. Math. Soc. 367 (2015), no. 5, 3161-3187
In this article, a classification of continuous, linearly intertwining, symmetric $L_p$-Blaschke ($p>1$) valuations is established as an extension of Haberl's work on Blaschke valuations. More precisely, we show that for dimensions $n\geq 3$, the onl
Externí odkaz:
http://arxiv.org/abs/1802.07559
Autor:
Leng, Gangsong, Ma, Liangying
Publikováno v:
In Advances in Applied Mathematics September 2021 130
Autor:
Li, Jin, Leng, Gangsong
Publikováno v:
Indiana Univ. Math. J., 66 (2017), no.3, 791--819
In this paper, Orlicz valuations compatible with $SL(n)$ transforms are classified. Unlike their $L_p$ analogs, the identity operator and the reflection operator are the only $SL(n)$ compatible Orlicz valuations (up to dilations). It turns out that t
Externí odkaz:
http://arxiv.org/abs/1510.04511
Autor:
Lin, Youjiang, Leng, Gangsong
Meyer and Reisner had proved the Mahler conjecture for rovelution bodies. In this paper, using a new method, we prove that among origin-symmetric bodies of revolution in R^3, cylinders have the minimal Mahler volume. Further, we prove that among para
Externí odkaz:
http://arxiv.org/abs/1403.0322
In this paper, a new approach of defining Steiner symmetrization of coercive convex functions is proposed and some fundamental properties of the new Steiner symmetrization are proved. Further, using the new Steiner symmetrization, we give a different
Externí odkaz:
http://arxiv.org/abs/1403.0319