Hole Localization in Underdoped Superconducting Cuprates Near 1/8th Doping

Measurements of thermal conductivity versus temperature over a broad range of doping in YBa$_2$Cu$_3$O$_{6+x}$ and HgBa$_2$Ca$_{n-1}$Cu$_n$O$_{2n+2+\delta}$ ($n$=1,2,3) suggest that small domains of localized holes develop for hole concentrations near $p$=1/8. The data imply a mechanism for localization that is intrinsic to the CuO$_2$-planes and is enhanced via pinning associated with oxygen-vacancy clusters.Comment: 4 pages, 4 eps fig.'s, to be published, Phys. Rev.

On partial derivatives of multivariate Bernstein polynomials

It is shown that Bernstein polynomials for a multivariate function converge to this function along with partial derivatives provided that the latter derivatives exist and are continuous. This result may be useful in some issues of stochastic calculus

Knowledge dynamics in the tourism-social entrepreneurship nexus

Tourism is often employed as a vehicle for facilitating social-economic development, however its usefulness has been somewhat limited in relation to addressing social issues, and in particular, those issues relating to poverty. This is partly due to the lack of cross-sectoral interactions and knowledge exchange between private, public and third sectors that are needed to create effective and appropriate initiatives to leverage tourism for social benefits. Such traditional sectoral boundaries can be broken down through social entrepreneurship approaches which concomitantly, facilitate the creation and synergizing of social innovation that addresses persistent social issues. Yet to date, the utility of cross-sectoral knowledge dynamics still remains largely under-researched in both the social entrepreneurship and tourism literature. This chapter introduces readers to the concept of knowledge dynamics and discusses knowledge dynamics in the tourism and social entrepreneurship nexus via a case study of community-based tourism in Mai Hich, Vietnam. We argue that by gaining an enhanced understanding of cross-sectoral knowledge dynamics, we can strengthen the overall praxis of tourism and social entrepreneurship, and in particular, assist policymakers in fostering conditions that generate increased innovation.Griffith Business School, Department of Tourism, Sport and Hotel ManagementNo Full Tex

Approximation by positive sublinear operators

Here we study the approximation of functions by positive sublinear operators under differentiability. We produce general Jackson type inequalities under initial conditions. We apply these to a series of well-known Max-product operators. So our approach is quantitative by producing inequalities with their right hand sides involving the modulus of continuity of a high order derivative of the function under approximation. It follows Anastassiou, Coroianu, Gal (J. Comput. Anal. Appl. 12(2):396–406, 2010, [3])