The Moduli Space of Polynomial Maps and Their Fixed-Point Multipliers

We consider the family $\mathrm{MP}_d$ of affine conjugacy classes of polynomial maps of one complex variable with degree $d \geq 2$, and study the map $\Phi_d:\mathrm{MP}_d\to \widetilde{\Lambda}_d \subset \mathbb{C}^d / \mathfrak{S}_d$ which maps each $f \in \mathrm{MP}_d$ to the set of fixed-point multipliers of $f$. We show that the local fiber structure of the map $\Phi_d$ around $\bar{\lambda} \in \widetilde{\Lambda}_d$ is completely determined by certain two sets $\mathcal{I}(\lambda)$ and $\mathcal{K}(\lambda)$ which are subsets of the power set of $\{1,2,\ldots,d \}$. Moreover for any $\bar{\lambda} \in \widetilde{\Lambda}_d$, we give an algorithm for counting the number of elements of each fiber $\Phi_d^{-1}\left(\bar{\lambda}\right)$ only by using $\mathcal{I}(\lambda)$ and $\mathcal{K}(\lambda)$. It can be carried out in finitely many steps, and often by hand.Comment: 40pages; Revised expression in Introduction a little, and added proofs for some propositions; results unchange

Relative Economic Decline and Unrealized Demographic Opportunity in the Philippines

The paper examines the long-run relationship between demographic and macroeconomic development trends in the Philippines, and compares trends observed in that country to trends in eight regional neighbors in East and Southeast Asia. The Philippines stands out from these countries in that available data suggests the country has completed its demographic transition to a much lesser extent than comparison countries. Analysis of trends shows that the Philippine economy has lost ground to the country's neighbors over the past 50 years, and that its unfulfilled demographic transition has played a key role in explaining the country's relative economic decline. The paper reviews established economic theory and a few simple counter-factual simulations to explain and support this conclusion. The authors also consider the relationship between demographic trends and associated economic developments, and the political situation in the country. Despite discouraging findings regarding the Philippines' relative economic decline, the paper notes the country's more favorable performance in social development vis-à-vis its neighbors. The paper ends on an optimistic note, pointing to: recent economic reforms, the unrealized potential of a 'demographic dividend,' rising demand and use of modern family planning among Philippine households, and the favorable long run outlook for Philippine Overseas Contract Workers, as causes for optimism regarding future demographic change and the country's economic prospects.

Critical Evaluation of Cross-Border Infrastructure Projects in Asia

This paper attempts to fill gaps faced by policymakers and practitioners in the evaluation of cross-border infrastructure projects. It first defines what constitutes cross-border infrastructure projects, and then outlines an analytical framework and criteria to evaluate them. The criteria identify additionalities and externalities specific to cross-border infrastructure projects that need to be stressed in covering broader and indirect impacts that are not usually captured in the analysis of national projects. Then the paper examines to what extent the defined criteria are applicable in evaluating recent cross-border infrastructure projects. It also reports on emerging impacts patterns evidenced in relevant studies. The paper draws lessons and implications for design and implementation of cross-border infrastructure projects.asian infrastructure projects design implementation; asian trade costs; economic analysis infrastructure projects

Research and development at ORNL/CESAR towards cooperating robotic systems for hazardous environments

One of the frontiers in intelligent machine research is the understanding of how constructive cooperation among multiple autonomous agents can be effected. The effort at the Center for Engineering Systems Advanced Research (CESAR) at the Oak Ridge National Laboratory (ORNL) focuses on two problem areas: (1) cooperation by multiple mobile robots in dynamic, incompletely known environments; and (2) cooperating robotic manipulators. Particular emphasis is placed on experimental evaluation of research and developments using the CESAR robot system testbeds, including three mobile robots, and a seven-axis, kinematically redundant mobile manipulator. This paper summarizes initial results of research addressing the decoupling of position and force control for two manipulators holding a common object, and the path planning for multiple robots in a common workspace