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The Spectral Region of Two-Layer Renewal Stochastic Matrices
Fix $q\ge2$ and consider the $2q\times2q$ row-stochastic matrices formed from two deterministic $q$-step paths, with randomness confined to their terminal rows. We determine the spectral union of this family exactly. An isospectral balancing map reduces the full parameter space to a $q$-simplex, whi
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