Petar Dryanovski

Strong-Coupling Boundary Selection and Super-Exponential Splitting

We study the strong-coupling regime of the four-state entropy–log-gap energy V4,β(λ)=i=1∑4λilogλi+β1≤i<j≤4∑(λi−λj)2log(λi−λj)2 on the probability simplex Δ3={λi≥0,i=1∑4λi=1}. The analysis identifies an explicit strong-coupling boundary selector and reveals a hierarchy of two qual...

Chebyshev Extremizers of Squared-Gap Entro

This work studies a finite-dimensional extremal problem for the squared-gap logarithmic functional Cn(a)=i<j∑(ai−aj)2log(ai−aj)2 on the centered unit configuration space Mn={a∈Rn:i∑ai=0, i∑ai2=1}. The main result proves that, for every n≥2, the unique global minimizers up to perm...

Boundary Observability Posting

Version 2 of the boundary-observability framework. This release introduces adaptive observation-boundary and horizon selection, sampled-trajectory screening, multiplicity-corrected probabilistic certification of low Bayes error, and validation on random Boolean networks with stat...