2 citations · 2 across the 5 of their papers we have counts for
5 papers
Khintchine inequality on normed spaces and the application to Banach-Mazur distance
Xin Luo, Dong Zhang
We establish variant Khintchine inequalities on normed spaces of Hanner type and cotype, in which the Rademacher distribution corresponding to classical Khintchine inequality is re…
Interactions between Hlawka Type-1 and Type-2 Quantities
Xin Luo
The classical Hlawka inequality possesses deep connections with zonotopes and zonoids in convex geometry, and has been related to Minkowski space. We introduce Hlawka Type-1 and Ty…
Spectrum of signless 1-Laplacian on simplicial complexes
Xin Luo, Dong Zhang
We introduce the signless 1-Laplacians and the dual Cheeger constants on simplicial complexes. The connection of its spectrum to the combinatorial properties like independence numb…
Up and down grover walks on simplicial complexes
Xin Luo, Tatsuya Tate
A notion of up and down Grover walks on simplicial complexes are proposed and their properties are investigated. These are abstract Szegedy walks, which is a special kind of unitar…
Davies-Gaffney-Grigor'yan lemma on simplicial complexes
Bobo Hua, Xin Luo
We prove Davies-Gaffney-Grigor'yan lemma for heat kernels of bounded discrete Hodge Laplacians on simplicial complexes.