Naishul's Theorem for fibred holomorphic maps

We show that the fibred rotation number associated to an indifferent invariant curve for a fibred holomorphic map is a topological invariant

Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates

We prove that every closed set which is not sigma-finite with respect to the Hausdorff measure H^{N-1} carries singularities of continuous vector fields in the Euclidean space R^N for the divergence operator. We also show that finite measures which do not charge sets of sigma-finite Hausdorff measure H^{N-1} can be written as an L^1 perturbation of the divergence of a continuous vector field. The main tool is a property of approximation of measures in terms of the Hausdorff content

Knowledge disclosure as intellectual property rights

We study a model in which an inventor discloses knowledge about its innovation and then a rival chooses the probability of attaining a competing invention. Disclosures, by creating prior art, diminish the probability that the rival has of receiving a patent for its invention (legal externality), but, by revealing knowledge, they decrease the marginal cost of R&D (knowledge externality). We stress the following result. If the knowledge externality is large compared to the legal externality, decreasing the patentability standards leads to fewer disclosures and may hinder R&D. We also determine the impact of changes in market payoffs on the equilibrium level of disclosures and R&D

Foreign Direct Investment and Civil Rights: Testing Decreasing Returns to Civil Rights

In this paper, I examine the effectiveness of improvements in political and civil rights for attracting foreign direct investment flows (FDI) into democracies. I contend that advances in the quality of democracy – specifically those concerning civil rights – present positive but decreasing marginal returns in attracting FDI inflows. I empirically prove this proposition by using panel data regressions within the Latin American and Eastern European contexts from periods following their democratization (1991-2003).foreign direct investment, civil rights, democratization, developing nations, Latin America, Eastern Europe