Infinite Volume Limit for Correlation functions in the Dipole Gas

We study a classical lattice dipole gas with low activity in dimension $d \geq 3$. We investigate long distance properties by a renormalization group analysis. We prove that various correlation functions have an infinite volume limit. We also get estimates on the decay of correlation functions.Comment: 34 pages. Some additions, reorganizatio

Change in Social Capital – a Case Study of Collective Rice Farming Practice in the Mekong Delta, Vietnam

This paper describes how the social capital of rice farmers of the Mekong delta of Vietnam - manifested in the tradition of collective farming practice, changed from the 1940s to 1990s. The reason this collective rice farming had existed for decades, irrespective of critical events that challenged its continuation, was the co-existence of two key factors – high need for collective farming to ensure subsistence, and the availability of a closely knit social network that facilitated the exchange of labor. Despite its longevity, the practice of a cohesive and spontaneous collective farming, particularly in terms of labor exchange and labor participation in farming activities, was not maintained under the influence of agrarian reforms which aimed to improve rural livelihood. Land reform resulted in individual rice farming, making mobilization for spontaneous collective action, at the community level quite challenging. The assessment arose in the context of the need to mobilize collective action for implementation of a Community Trap Barrier System (CTBS), an ecologically-based rodent pest management system. It is concluded that successful restoration of social capital in the form of collective farming practices at the field level may depend on government intervention strategies at both local and national policy levels.social capital, rice, Mekong, farming practice, agrarian reform

Borel-fixed ideals and reduction number

The aim of this paper is to study the relationship between reduction numbers and Borel-fixed ideals in all characteristics. By definition, Borel-fixed ideals are closed under certain specializations which is similar to the strong stability. We will estimate the number of monomials which can be specialized to a given monomial. As a consequence, we obtain a combinatorial version of the well-known Eakin-Sathaye's theorem which bounds the reduction number in terms of the Hilbert function. Furthermore, we show that the bound of Eakin-Sathaye's theorem is attained by the reduction number of a lex-segment monomial ideal. This result answers a question of Conca in the affirmative. We will also show that the reduction number of the lex-segment ideal is bounded exponentially by the reduction number of the given ideal.Comment: 11 page