3 papers
math.PR2026
Spectral Purification in Reversible Markov Chains: Hidden Parameters, Observable Equivalence, and Finite-Time Rigidity
Qiao Wang
Classical spectral theory of reversible Markov chains characterizes the asymptotic relaxation dominated by the slowest eigenmode, governed by the spectral gap. This paper studies a…
cs.IT2026
Translation Symmetry, Fisher Information, and the Entropy Power Inequality in Blahut--Arimoto Geometry
Qiao Wang
We identify a previously unrecognised structure in the finite-temperature geometry of Blahut--Arimoto (BA) rate-distortion optimisation. The starting point is an exact partition id…
math.CV2026
The Lee--Yang Edge Exponent via Logarithmic Averaging
Qiao Wang
Let be the thermodynamic free energy of a ferromagnetic Ising model,analytic on . The Lee--Yang edge at is…