38 citations · 80 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2020★ 9 cited
The Mathematics of the Ensemble Theory
Xiang Gao
This study shows that the generalized Boltzmann distribution is the only distribution mathematically consistent with thermodynamics when the system is described by an ensemble of a…
cond-mat.stat-mech2019★ 33 cited
The Generalized Boltzmann Distribution is the Only Distribution in Which the Gibbs-Shannon Entropy Equals the Thermodynamic Entropy
Xiang Gao, Emilio Gallicchio, Adrian E. Roitberg
We show that the generalized Boltzmann distribution is the only distribution for which the Gibbs-Shannon entropy equals the thermodynamic entropy. This result means that the thermo…
math.PR2017★ 38 cited
Bounds on the Jensen Gap, and Implications for Mean-Concentrated Distributions
Xiang Gao, Meera Sitharam, Adrian E. Roitberg
This paper gives upper and lower bounds on the gap in Jensen's inequality, i.e., the difference between the expected value of a function of a random variable and the value of the f…