This paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   The main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...

We provide a graphical calculus for computing averages of tensor network diagrams with respect to the distribution random vectors containing independent uniform complex phases. Our method exploits order structure partially ordered set block permutations. A similar is developed consisting signs, based on combinatorics even partitions. employ our extend some results by Johnston and MacLean family...

A property of functions on a vector space is said to be linear-invariant if it is closed under linear transformations of the domain. Linear-invariant properties are some of the most well-studied properties in the field of property testing. Testable linear-invariant properties can always be characterized by socalled local constraints, and of late there has been a rapidly developing body of resea...