We evaluate quasi-classically the Ramond partition function of Euclidean D = 10 U(N) super-Yang{Mills theory reduced to a two-dimensional torus. The result can be interpreted in terms of free strings wrapping the space-time torus, as expected from the point of view of Matrix string theory. We demonstrate that, when extrapolated to the ultraviolet limit (small area of the torus), the quasi-class...

In this paper we investigate the structure of quasi-BCH codes. In the first part of this paper we show that quasi-BCH codes can be derived from Reed-Solomon codes over square matrices extending the known relation about classical BCH and Reed-Solomon codes. This allows us to adapt the Welch-Berlekamp algorithm to quasi-BCH codes. In the second part of this paper we show that quasi-BCH codes can ...

We study interpolation, generated by an abstract method of means, of bilinear operators between quasi-Banach spaces. It is shown that under suitable conditions on the type of these spaces and the boundedness of the classical convolution operator between the corresponding quasi-Banach sequence spaces, bilinear interpolation is possible. Applications to the classical real method spaces, Calderón-...

This moduli space is Mh = Γ \Dh where Dh = GR/V is a homogeneous complex manifold on which Γ acts properly discountinuously. In the classical case n = 1 (polarized abelian varieties) or n = 2, h = 1, D is a bounded symmetric domain and Γ \D is a quasi-projective variety defined over a number field. In the non-classical case the situation is quite different. Given a smooth projective family X π ...

The aim of this paper is to characterize in terms of classical (quasi)convexity of extended real-valued functions the set-valued maps which are K-(quasi)convex with respect to a convex cone K. In particular, we recover some known characterizations of K-(quasi)convex vector-valued functions, given by means of the polar cone of K.

It was proved by Montaner and Zelmanov that up to classical twisting Lie bialgebra structures on g[u] fall into four classes. Here g is a simple complex finite-dimensional Lie algebra. It turns out that classical twists within one of these four classes are in a one-to-one correspondence with the so-called quasi-trigonometric solutions of the classical Yang-Baxter equation. In this paper we give...

Abstract We introduce the concept of quasi-inverse quantum and classical channels, prove general properties these inverses determine them for a large class channels acting in an arbitrary finite dimension. Therefore we extend previous results Karimipour et al (2020 Phys. Rev. A 101 032109) to dimensional domain. demonstrate how application proposed scheme can increase on average fidelity betwee...