A remark about weak fillings

A remark about factorizing GCD-type Hyperdeterminants

We show that a very elementary trick allows to generalize a theorem of Linström to higher determinants. As a special case, one recovers some results due to Lehmer and Haukkannen on hyperdeterminants of GCD matrices.

A remark about orthogonal matching pursuit algorithm

In this note, we investigate the theoretical properties of Orthogonal Matching Pursuit (OMP), a class of decoder to recover sparse signal in compressed sensing. In particular, we show that the OMP decoder can give (p, q) instance optimality for a large class of encoders with 1 ≤ p ≤ q ≤ 2 and (p, q) 6= (2, 2). We also show that, if the encoding matrix is drawn from an appropriate distribution, ...

A Remark about Combings of Groups

In the last several years a remarkable interplay between geometry, group theory, and the theory of formal languages has led to developments including the introduction of automatic groups [Ep+], hyperbolic groups [Gro], and geometric and language-theoretic characterizations of finitely generated virtually free groups [MS1] [MS2]. A prime example of such interplay is the study of combings, which ...

A Remark About Static Space Times

Remark About dS / CFT Correspondence

In this paper we will study some aspects of dS/CFT correspondence. We will focus on the relation between Witten's non-standard de Sitter inner product and correlators in the holographic dual conformal field theory. We will argue that from the definition of Witten's inner product and conjecture that the Hilbert space of initial states of massive scalar field on I − in de Sitter space corresponds...