231 citations · 2.3k across the 91 of their papers we have counts for
93 papers
Internal Energy, Fundamental Thermodynamic Relation, and Gibbs' Ensemble Theory as Laws of Statistical Counting
Hong Qian
Counting ad infinitum is the holographic observable to a statistical dynamics with finite states under independent repeated sampling. Entropy provides the infinitesimal probability…
Statistical Uncertainty Principle in Stochastic Dynamics
Ying-Jen Yang, Hong Qian
Maximum entropy principle identifies forces conjugated to observables and the thermodynamic relations between them, independent upon their underlying mechanistic details. For data…
On the Posterior Distribution of a Random Process Conditioned on Empirical Frequencies of a Finite Path: the i.i.d and finite Markov chain case
Wenqing Hu, Hong Qian
We obtain the posterior distribution of a random process conditioned on observing the empirical frequencies of a finite sample path. We find under a rather broad assumption on the…
Thermodynamic Behavior of Statistical Event Counting in Time: Independent and Correlated Measurements
Hong Qian
We introduce an entropy analysis of time series, repeated measurements of statistical observables, based on an Eulerian homogeneous degree-one entropy function of time …
Duality Symmetry, Two Entropy Functions, and an Eigenvalue Problem in Gibbs' Theory
Jeffrey Commons, Ying-Jen Yang, Hong Qian
We generalize the convex duality symmetry in Gibbs' statistical ensemble formulation, between Massieu's free entropy and the Gibbs entropy as a function…
Nonequilibrium Stationary Process and Fluctuation-Dissipation Relations
Ying-Jen Yang, Hong Qian
A stochastic dynamics has a natural decomposition into a drift capturing mean rate of change and a martingale increment capturing randomness. They are two statistically uncorrelate…