On the Density and the Volume Density Property

This article gives a short introduction into the notions of density property (DP) and volume density property (VDP). Moreover we develop an effective criterion of verifying whether a given X has VDP. As an application of this method we give a new proof of the basic fact that the product of two Stein manifolds with VDP admits VDP.

The algebraic density property for affine toric varieties

In this paper we generalize the algebraic density property to not necessarily smooth affine varieties relative to some closed subvariety containing the singular locus. This property implies the remarkable approximation results for holomorphic automorphisms of the Andersén–Lempert theory. We show that an affine toric variety X satisfies this algebraic density property relative to a closed T-invariant subvariety Y if and only if X∖Y≠TX∖Y≠T. For toric surfaces we are able to classify those which possess a strong version of the algebraic density property (relative to the singular locus). The main ingredient in this classification is our proof of an equivariant version of Brunella's famous classification of complete algebraic vector fields in the affine plane.

Publicness and Taken-for-granted Knowledge: A Case Study of Communal Land Formation in Rural Thailand

The lack of public-mindedness can cause problems in the social order of people’s daily lives, such as the tragedy of the commons and the problem of free riders. Some scholars such as Habermas assert that communicative rationality is the solution, expecting that individuals will communicate with each other to reach a consensus without being bounded by aspects of social background. Other scholars advocate the revitalization of traditional community culture. These arguments, however, are not based on reality. By using the case of communal land formation in rural Thailand, the author shows that collective action is neither a revival of tradition nor a result of communication free from social constraints. Rather, cooperation emerges because the people rationally respond to their present needs and have built, through daily social interactions, taken-for-granted knowledge about how they should behave for cooperation.

FDI inflows and outflows, intellectual property rights, and productivity growth

Using panel data of 57 countries during the period of 1995-2012, this study investigates the impact of intellectual property rights (IPR) processes on productivity growth. The IPR processes are decomposed into three stages, innovation process, commercialization process, and IPR protection process. Our results suggest that better IPR protection is directly associated with productivity improvement only in developed economies. In addition, the contribution of IPR processes on growth through foreign direct investment (FDI) appears to be very limited. Only FDI inflows in developed countries which help to create a better innovative capability lead to a higher growth. And in connection with FDI outflows, only IPR protection and commercialization processes are proven to improve productivity in the case of developing countries, particularly when the country acts as the investing country.

The Zero-Removing Property and Lagrange-Type Interpolation Series

The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting. In this setting, a challenging problem is to characterize the situations when the obtained nonorthogonal sampling formulas can be expressed as Lagrange-type interpolation series. In this article a necessary and sufficient condition is given in terms of the zero removing property. Roughly speaking, this property concerns the stability of the sampled functions on removing a finite number of their zeros.