S. Luo

activity

20162022

most citedNon-hexagonal lattices from a two species interacting system

5 citations · 6 across the 3 of their papers we have counts for

collaborators

Showing math.CAShow all

2 papers · 1 filter

math.CA2022

On minima of difference of theta functions and application to hexagonal crystallization

Senping Luo, Juncheng Wei

Let $z = x + i y \in H := {z = x + i y \in C : y > 0}$ and $θ (α; z) = \sum_{(m, n) \in Z^{2}} e^{- α \frac{π}{y} ∣ m z + n ∣^{2}}$ be the theta function associated with the lattice…

math.CA2021★ 1 cited

On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials

Senping Luo, Juncheng Wei, Wenming Zou

We consider the minimizing problem for energy functionals with two types of competing particles and completely monotone potential on a lattice. We prove that the minima of sum of t…