Mathematics in the Baroque Period in Spain

The 17th century Spain is very advanced culturally and, in certain respects, very refined. Although Spanish culture in the reached an unprecedented peak, mathematics activity in Spain entered a period of decline and did not share in the burst of mathemathical knowledge occurring in other European countries during this century

A Communication Proof Equilibrium Concept

This paper proposes an equilibrium concept for the classes of environments in which players can communicate with each other but cannot make binding agreements. The communication-proof equilibrium is intended to be regarded as an extension of both coalition- and renegotiation-proof equilibria. Conceptual foundations for this particular definition are discussed as it is confronted with other definitions in these environments.Publicad

The role of observability in futures markets

Allaz (1992) and Allaz and Vila (1993) show that in an oligopolistic industry the introduction of a futures market that operates prior to the spot market induces more competitive outcomes. Hughes and Kao (1997) show that this result presumes that firms’ future positions are perfectly observed, and that when firms’ positions are not observed the Cournot outcome arises. We study an alternative formulation of observability, where the behavior of participants in the futures market is explicitly analyzed, and show that this approach leads to different results. Imperfect observability induces more competitive outcomes than Allaz and Vila’s model.Publicad

The role of observability in futures markets

Allaz and Vila (1993) show that oligopolistic industries may become more competitive if a futures market is added previous to the spot market. Later, Hughes and Kao (1997) show that this result occurs only if positions in the futures market are observed, and that without this condition the result is again the Cournot equilibrium. In this work we study different explicit formulations of observability and argue that the lack of it may induce a result very different from the one anticipated in Hughes and Kao (1997). By comparing the game forms of the different models, one can discuss about the suitability of either of them. In particular, the one we find most reasonable fit better some of the stylized facts of an industry like the power market in the U.K

Characterization of coorbit spaces with phase-space covers

We show that coorbit spaces can be characterized in terms of arbitrary phase-space covers, which are families of phase-space multipliers associated with partitions of unity. This generalizes previously known results for time-frequency analysis to include time-scale decompositions. As a by-product, we extend the existing results for time-frequency analysis to an irregular setting.Comment: 31 pages. Revised version (title slightly changed). Typos fixe

Transcriptional Regulation: a Genomic Overview

The availability of the Arabidopsis thaliana genome sequence allows a comprehensive analysis of transcriptional regulation in plants using novel genomic approaches and methodologies. Such a genomic view of transcription first necessitates the compilation of lists of elements. Transcription factors are the most numerous of the different types of proteins involved in transcription in eukaryotes, and the Arabidopsis genome codes for more than 1,500 of them, or approximately 6% of its total number of genes. A genome-wide comparison of transcription factors across the three eukaryotic kingdoms reveals the evolutionary generation of diversity in the components of the regulatory machinery of transcription. However, as illustrated by Arabidopsis, transcription in plants follows similar basic principles and logic to those in animals and fungi. A global view and understanding of transcription at a cellular and organismal level requires the characterization of the Arabidopsis transcriptome and promoterome, as well as of the interactome, the localizome, and the phenome of the proteins involved in transcription