3 citations · 4 across the 10 of their papers we have counts for
10 papers
A new upper bound on the dimer constant of
Qidong He
We prove that the dimer constant of the cubic lattice is bounded above by , improving the previous best upper bound of obtained by Lundow (2001) using the tran…
Rigorous bound on the aspect ratio for the formation of a nematic phase in hard rod and hard rectangle systems on
Qidong He
We prove the existence of a nematic phase in a model of hard rectangles on the square lattice with two allowed orientations and a large aspect ratio . The proof…
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…
Extended regime of nematic order in an interacting monomer-dimer model of Heilmann and Lieb
Qidong He
We revisit a two-dimensional model of liquid crystals introduced by Heilmann--Lieb (1979), which consists of dimers on the square lattice at chemical potential , interacting via…
Liquid-vapor transition in a model of a continuum particle system with finite-range modified Kac pair potential
Qidong He, Ian Jauslin, Joel Lebowitz +1
We prove the existence of a phase transition in dimension in a continuum particle system interacting with a pair potential containing a modified attractive Kac potential of r…
Upper bounds for the connective constant of weighted self-avoiding walks
Qidong He
Building on a work by Alm, we consider a model of weighted self-avoiding walks on a lattice and develop a method for computing upper bounds on the corresponding weighted connective…
Analyticity for locally stable hard-core gases via recursion
Qidong He
In their recent works [Comm. Math. Phys. 399:1 (2023)] and [arXiv:2109.01094], Michelen and Perkins proved that the pressure of a system of particles with repulsive pair interactio…
High-fugacity expansion and crystallization in non-sliding hard-core lattice particle models without a tiling constraint
Qidong He, Ian Jauslin
In this paper, we prove the existence of a crystallization transition for a family of hard-core particle models on periodic graphs in arbitrary dimensions. We establish a criterion…
Counting conjugacy classes of elements of finite order in exceptional Lie groups
Tamar Friedmann, Qidong He
This paper continues the study of two numbers that are associated with Lie groups. The first number is , the number of conjugacy classes of elements in whose order divi…
Links, bridge number, and width trees
Qidong He, Scott A. Taylor
To each link in we associate a collection of certain labelled directed trees, called width trees. We interpret some classical and new topological link invariants in terms…