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For every odd prime-power field order q and all sufficiently large natural dimensions n, for every actual fixed strong involution t in Sp(V), O(V), SO(V) or Ω(V), each separately specified t-eigenspace has probability at least c/log n of receiving a strong restriction of the even Bray output inv(tt^g), with g independe...
For a specified onto block self-map f of a nonempty two-sided irreducible sofic shift T, this note gives a complete finite computable criterion for extending that same map into T from a containing shift of finite type. It answers the specified-map question in Boyle's Problem 16.3, including its mixing case. For any tot...
This research note proves almost-sure consistency of a specified finite-rank empirical spectral-equation estimator for a general smooth symmetric uniformly elliptic tensor and unknown positive smooth invariant density. The domain is known, bounded, connected and smooth, in dimension at least two. Observations are exact...
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