We study the defect AdS/CFT correspondence for a system of Nc D3-branes intersecting certain configurations of D7-branes and O7-planes in 1 + 1-dimensions. The intersection is chiral, preserving N = (0, 8) supersymmetry. The geometry produced by the 7-branes does not decouple in the low energy limit on the D3-branes; consequently the field theory must be considered in the curved background of t...

We show that a certain type of conservative, ergodic, measure preserving transformation always has a maximal zero entropy factor, generated by predictable sets. We also consider distribution asymptotics of information; e.g. for Boole’s transformation, information is asymptotically mod-normal, a property shared by certain ergodic, probability preserving transformations with zero entropy. §0 Intr...

Zero-shot learning has gained popularity due to its potential to scale recognition models without requiring additional training data. This is usually achieved by associating categories with their semantic information like attributes. However, we believe that the potential offered by this paradigm is not yet fully exploited. In this work, we propose to utilize the structure of the space spanned ...

A set of multipartite orthogonal product states is locally irreducible, if it not possible to eliminate one or more from the by orthogonality-preserving local measurements. An effective way prove that a irreducible show only trivial measurement can be performed this set. In general, difficult such an must trivial. work, we develop two basic techniques deal with problem. Using these techniques, ...

We show that a certain type of conservative, ergodic, measure preserving transformation always has a maximal zero entropy factor, generated by predictable sets. We also consider distribution asymptotics of information; e.g. for Boole’s transformation, information is asymptotically mod-normal, a property shared by certain ergodic, probability preserving transformations with zero entropy. §0 Intr...

In this note we prove some results concerning volume-preserving Anosov diffeomorphisms on compact manifolds. The main theorem is that if a C, α > 0, volume-preserving diffeomorphism on a compact manifold has a hyperbolic invariant set with positive volume, then the map is Anosov. This is not necessarily true for C maps. The proof uses a special type of measure density points different from the ...