Xiaohan Zhu

collaborators

2 papers

math.FA2019

Spectral analysis beyond $ℓ^{2}$ on Sierpinski lattices

Shiping Cao, Yiqi Huang, Hua Qiu +2

We study the spectrum of the Laplacian on the Sierpinski lattices. First, we show that the spectrum of the Laplacian, as a subset of $C$ , remains the same for any $ℓ^{p}$ …

math.NT2018

The diophantine exponent of the $Z / q Z$ points of $S^{d - 2} \subset S^{d}$

Mostafa W. Hassan, Yuchen Mao, Naser T. Sardari +2

Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d \geq 3,$ and $q$ and $p$ are prime numbers, where $p \leq q^{A}$ for some $A > 0$ . We develop a polyn…

Spectral analysis beyond ℓ2 on Sierpinski lattices

The diophantine exponent of the Z/qZ points of Sd−2⊂Sd

Spectral analysis beyond $ℓ^{2}$ on Sierpinski lattices

The diophantine exponent of the $Z / q Z$ points of $S^{d - 2} \subset S^{d}$