Hyperbolic periodic points for chain hyperbolic homoclinic classes

In this paper we establish a closing property and a hyperbolic closing property for thin trapped chain hyperbolic homoclinic classes with one dimensional center in partial hyperbolicity setting. Taking advantage of theses properties, we prove that the growth rate of the number of hyperbolic periodic points is equal to the topological entropy. We also obtain that the hyperbolic periodic measures are dense in the space of invariant measures.Comment: 15 pages, 1 figure

Emergent Dark Matter in Late Time Universe on Holographic Screen

We discuss a scenario that the dark matter in late time universe emerges as part of the holographic stress-energy tensor on the hypersurface in higher dimensional flat spacetime. Firstly we construct a toy model with a de Sitter hypersurface as the holographic screen in the flat bulk. After adding the baryonic matter on the screen, we assume that both of the dark matter and dark energy can be described by the Brown-York stress-energy tensor. From the Hamiltonian constraint equation in the flat bulk, we find an interesting relation between the dark matter and baryonic matter's energy density parameters, by comparing with the Lambda cold dark matter parameterization. We further compare this holographic embedding of emergent dark matter with traditional braneworld scenario and present an alternative interpretation as the holographic universe. It can be reduced to our toy constraint in the late time universe, with the new parameterization of the Friedmann equation. We also comment on the possible connection with Verlinde's emergent gravity, where the dark matter is treated as the elastic response of the baryonic matter on the de Sitter spacetime background. We show that from the holographic de Sitter model with elasticity, the Tully-Fisher relation and the dark matter distribution in the galaxy scale can be derived.Comment: 28 pages, 2 figures; Matches published version and we thank the referees for many insightful comments; v3: typos in the Friedmann equations are fixe

Bell Inequality in the Holographic EPR Pair

We study the Bell inequality in a holographic model of the casually disconnected Einstein-Podolsky-Rosen (EPR) pair. The Clauser-Horne-Shimony-Holt(CHSH) form of Bell inequality is constructed using holographic Schwinger-Keldysh (SK) correlators. We show that the manifestation of quantum correlation in Bell inequality can be holographically reproduced from the classical fluctuations of dual accelerating string in the bulk gravity. The violation of this holographic Bell inequality supports the essential quantum property of this holographic model of an EPR pair.Comment: 8 pages, 2 figures; references and texts added; v3: matches published versio

ANALYSIS OF IDIOMATIC EMOTION EXPRESSIONS DETECTED FROM ONLINE MOVIE REVIEWS

A large number of idiomatic emotion expressions in Korean are composed of certain nouns of human body parts accompanied by selected predicates, which represent a ‘physiological metonymy’ of sentiment (Lakoff 1987, Ungerer & Schmid 1996)or instance, kasum-i ttwita literally means a physiological reaction (i.e. one’s heart beat) but also can represent the emotion like being thrilled to bits. We compared idiomatic emotion expressions used in English online movie reviews and those observed in Korean, and noticed that the nouns of body parts such as kasum ‘heart’, maum ‘mind’ or nwun ‘eyes’ emerge frequently in both languages, whereas ekkay ‘shoulder’, kancang ‘intestines’ or ppye ‘bones’ seem to be rather reserved for Korean emotion expressions. In this study, we extract idiomatic emotion expressions based on the 13 nouns of body parts listed by Lim (2001) from Korean online movie reviews. For instance, nouns such as meli ‘head’, ip ‘mouth’ or simcang ‘cardia’ are frequently used for constituting the emotion expressions of POSITIVE values as shown in ip-ul tamwul-swu epsta ‘be with open mouth (with delight) these nouns hardly occur in NEGATIVE emotion expressions, which is not predictable from their semantic features, but reveals their lexical idiosyncrasy. The frequent emotion expressions observed in online movie reviews will be analyzed and classified according to their semantic properties. We will show what salient traits of Korean emotion expressions can be remarked in current online subjective documents such as users’ reviews, blogs or opinion texts