Nagi

Bounded Ownership-Transfer Ranks and Multilayer Strategy Certificates in Finite Shogi Legal-Move Systems

We study a finite-horizon reachability problem in finite state systems generated by the ordinary local movement, promotion, drop, and King-safety rules of shogi. A fixed non-king physical token is labelled by provenance, and the terminal event is its first ownership transfer to t...

Boundary-Generated Overlap Measures under Principal Jacobi Extensions

Let $H_n$ be a finite real symmetric Jacobi matrix, let $H_nu=\lambda u$, and embed $u$ by zeros into a larger principal Jacobi extension $\widehat H$. The squared overlaps of the embedded vector with the eigenvectors of $\widehat H$ define a probability measure $\nu$ on shifted...