3 papers
math-ph2026
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…
astro-ph.HE2026
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…
math.CO2026
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…