Qidong He

activity

20202026

most citedHigh-fugacity expansion and crystallization in non-sliding hard-core lattice particle models without a tiling constraint

3 citations · 4 across the 10 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.CO2026

A new upper bound on the dimer constant of $Z^{3}$

Qidong He

We prove that the dimer constant of the cubic lattice is bounded above by $0.452130$ , improving the previous best upper bound of $0.457547$ obtained by Lundow (2001) using the tran…

math-ph2026

Rigorous bound on the aspect ratio for the formation of a nematic phase in hard rod and hard rectangle systems on $Z^{2}$

Qidong He

We prove the existence of a nematic phase in a model of $l \times w$ hard rectangles on the square lattice with two allowed orientations and a large aspect ratio $k := l / w$ . The proof…

math-ph2026

Unified criteria for crystallization in hard-core lattice systems with applications to polyomino fluids and multi-component mixtures

Qidong He

We present a unified extension of two sets of criteria for high-fugacity crystallization in hard-core lattice systems developed previously by Jauslin, Lebowitz, and the author. Our…

A new upper bound on the dimer constant of Z3

Rigorous bound on the aspect ratio for the formation of a nematic phase in hard rod and hard rectangle systems on Z2

Unified criteria for crystallization in hard-core lattice systems with applications to polyomino fluids and multi-component mixtures

A new upper bound on the dimer constant of $Z^{3}$

Rigorous bound on the aspect ratio for the formation of a nematic phase in hard rod and hard rectangle systems on $Z^{2}$