On birecurrent tensors
نویسندگان
چکیده
منابع مشابه
On Automata Recognizing Birecurrent Sets
In this note we study automata recognizing birecurrent sets. A set of words is birecurrent if the minimal partial DFA recognizing this set and the minimal partial DFA recognizing the reversal of this set are both strongly connected. This notion was introduced by Perrin, and Dolce et al. provided a characterization of such sets. We prove that deciding whether a partial DFA recognizes a birecurre...
متن کاملRecurrent and birecurrent sets
A set is called recurrent if its minimal automaton is strongly connected and birecurrent if additionally the same holds for the minimal automaton of its reversal. We study recurrent and birecurrent sets. Our main results are a new proof of an old result (the well-known theorem of Schützenberger concerning codes with bounded synchronization delay) and a series of new results concerning birecurre...
متن کاملOperator-valued tensors on manifolds
In this paper we try to extend geometric concepts in the context of operator valued tensors. To this end, we aim to replace the field of scalars $ mathbb{R} $ by self-adjoint elements of a commutative $ C^star $-algebra, and reach an appropriate generalization of geometrical concepts on manifolds. First, we put forward the concept of operator-valued tensors and extend semi-Riemannian...
متن کاملFurther results on Cauchy tensors and Hankel tensors
In this article, we present various new results on Cauchy tensors and Hankel tensors. We first introduce the concept of generalized Cauchy tensors which extends Cauchy tensors in the current literature, and provide several conditions characterizing positive semi-definiteness of generalized Cauchy tensors with nonzero entries. Furthermore, we prove that all even order generalized Cauchy tensorsw...
متن کاملEquivariant Tensors on Polar Manifolds
EQUIVARIANT TENSORS ON POLAR MANIFOLDS Ricardo Mendes Wolfgang Ziller, Advisor This PhD dissertation has two parts, both dealing with extension questions for equivariant tensors on a polar G-manifold M with section Σ ⊂ M. Chapter 3 contains the first part, regarding the so-called smoothness conditions: If a tensor defined only along Σ is equivariant under the generalized Weyl group W (Σ), then ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1966
ISSN: 0386-5991
DOI: 10.2996/kmj/1138845163