1 citations · 1 across the 7 of their papers we have counts for
7 papers
A Comment on Local Hypercube Inequalities
Keyou Zhuo, Tian-Shun Chen, Kilar Zhang
This comment gives dimension-independent analytic proofs of the local inequalities arising in the odd- and even-dimensional constructions of higher-dimensional partition charge fun…
An Analytical Toy Equation of State for Neutron Stars Consistent with Current Observations
Tian-Shun Chen, Xiao-Ding Zhou, Kilar Zhang
Fast analytic and semi-analytic studies of neutron stars often require an equation of state that is convenient to evaluate while producing relativistic stellar sequences compatible…
Finite-n Estimate of Dedekind Numbers by Layer-Ratio Monte Carlo
Tian-Shun Chen, Hao Feng, Haozhe Wang +2
Dedekind's problem counts monotone Boolean functions, equivalently downsets of a Boolean lattice. We recast this enumeration as a finite layer-ratio reconstruction problem for the…
Charge functions for all dimensional partitions
Hao Feng, Tian-Shun Chen, Kilar Zhang
The charge functions for n-dimensional partitions are known for n=2,3,4 in the literature. In a recent work, we gave the expression for arbitrary odd dimension; here we further con…
Charge functions for odd dimensional partitions
Shang Xiang, Hao Feng, Keyou Zhuo +2
To construct a BPS algebra with representations furnished by n-dimensional partitions, the first step is to find the eigenvalues of the Cartan operators acting on them. The generat…
Stability Boundary of Neutron-Dark Matter Mixed Stars
Xiao-Ding Zhou, Tian-Shun Chen, Si-Man Wu +1
Regarding the stability of two-fluid star models, we rigorously prove the equivalence between the emergence of a zero-frequency radial oscillation mode and the static critical-curv…
Equivalence of Stability Criteria for Multi-Fluid Stars
Tian-Shun Chen, Xiao-Ding Zhou, Hao Feng +1
We prove a static criterion for radial zero modes in relativistic multi-fluid stars whose isentropic barotropic components are separately conserved and interact only through gravit…