Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data

In this work we study regularity properties of solutions to fractional elliptic problems with mixed Dirichlet-Neumann boundary data when dealing with the Spectral Fractional Laplacian

Schooling, Nation Building, and Industrialization: a Gellnerian Approach (new version)

We model a two-region country where value is created through bilateral production between masses and elites (bourgeois and landowners). Industrialization requires the elites to finance schools and the masses to attend them. Schooling raises productivity, particularly for matches between masses and bourgeois. At the same time, only country-wide education ("unified schooling") renders the masses mobile across regions. Alternatively, schools can be implemented in one region alone ("regional education") or the regionally dominant group can choose to implement schooling in its own region but refuse to share the costs/proceeds within the wider country-level group ("secession"). We show that schools are more likely to be set-up when the bourgeoisie dominates, but that this is not necessarily socially efficient. Unified schooling is always chosen if the identity of the dominant elite at the regional and country level is the same and/or the industrialization shock is sufficiently high. If instead the bourgeoisie is dominant in one region and landowners are dominant country-wise, the bourgeoisie of that region may promote the secession of the region, and this can be socially efficient. The model is shown to be consistent with evidence for 19th century France and Spain

Detecting Determinism in High Dimensional Chaotic Systems

A method based upon the statistical evaluation of the differentiability of the measure along the trajectory is used to identify in high dimensional systems. The results show that the method is suitable for discriminating stochastic from deterministic systems even if the dimension of the latter is as high as 13. The method is shown to succeed in identifying determinism in electro-encephalogram signals simulated by means of a high dimensional system.Comment: 8 pages (RevTeX 3 style), 5 EPS figures, submitted to Phys. Rev. E (25 apr 2001

Dual partitioning and attachment effects of rhamnolipid on pyrene biodegradation under bioavailability restrictions.

7 páginas.-- 4 figuras.-- 1 tablas.-- 32 referencias.-- Supplementary data related to this article can be found at http://dx.doi.org/10.1016/j.envpol.2015.07.013.We investigated the effects of different bioavailability scenarios on the rhamnolipid-enhanced biodegradation of pyrene by the representative polycyclic aromatic hydrocarbon degrader Mycobacterium gilvum VM552. This biosurfactant enhanced biodegradation when pyrene was provided in the form of solid crystals; no effect was observed when the same amount of the chemical was preloaded on polydimethylsiloxane (PDMS). An enhanced effect was observed when pyrene was sorbed into soil but not with the dissolved compound. Synchronous fluorescence spectrophotometry and liquid scintillation were used to determine the phase exchange of pyrene. We also investigated the phase distribution of bacteria. Our results suggest that the rhamnolipid can enhance the biodegradation of pyrene by micellar solubilization and increase diffusive uptake. These mechanisms increase substrate acquisition by bacterial cells at exposure concentrations well above the half-saturation constant for active uptake. The moderate solubilization of pyrene from PDMS by the rhamnolipid and the prevention of cell attachment may explain the lack of enhancement for pyrene-preloaded PDMS.Support for this research was provided by the Spanish Ministry of Science and Innovation (CGL2010-22068-C02-01 and CGL2013-44554-R), the Andalusian Government (RNM 2337) and the FPI Programme (E.C.)Peer reviewe