Uniqueness of Lagrangian Self-Expanders

We show that zero-Maslov class Lagrangian self-expanders in C^n which are asymptotic to a pair of planes intersecting transversely are locally unique if n>2 and unique if n=2.Comment: 32 page

Stylised features of price setting behaviour in Portugal: 1992-2001

This paper identifies the empirical stylized features of price setting behaviour in Portugal using the micro-datasets underlying the consumer and the producer price indexes. The main conclusions are the following: 1 in every 4 prices change each month; there is a considerable degree of heterogeneity in price setting practices; consumer prices of goods change more often than consumer prices of services; producer prices of consumption goods vary more often than producer prices of intermediate goods; for comparable commodities, consumer prices change more often than producer prices; price reductions are common, as they account for around 40 per cent of total price changes; price changes are, in general, sizeable; finally, the price setting patterns at the consumer level seem to depend on the level of inflation as well as on the type of outlet. JEL Classification: E31, E32, L11consumer prices, frequency of price changes, price setting, producer prices

A 3-form Gauge Potential in 5D in connection with a Possible Dark Sector of 4D-Electrodynamics

We here propose a 5-dimensional {\bf Abelian gauge} model based on the mixing between a $U(1)$ potential and an Abelian 3-form field by means of a topological mass term. An extended covariant derivative is introduced to minimally couple a Dirac field to the $U(1)$ potential, while this same covariant derivative non-minimally couples the 3-form field to the charged fermion. A number of properties are discussed in 5D; in particular, the appearance of a topological fermionic current. A 4-dimensional reduced version of the model is investigated and, { \bf in addition to the $U(1)$ electric- and magnetic-sort of fields,} there emerges an extra set of electric- and magnetic-like fields which contribute a negative pressure and may be identified as a possible fraction of dark energy. The role of the topological fermionic current is also contemplated upon dimensional reduction from 5D to 4D. Other issues we present in 4 space-time dimensions are the emergence {\bf of a pseudo-scalar massive particle,} an extra massive neutral gauge boson,{\bf which we interpret as a kind of paraphoton}, and the calculation of spin- and velocity-dependent interparticle potentials associated to the exchange of the intermediate bosonic fields of the model.Comment: -- 30 pages -- L. P. R. Ospedal appears as a new co-author; modifications by inclusion of the gravitational sector and the attainment of a spin- and velocity-dependent potential as an application have been worked out in this Revised Versio

Comment on Bress et al. Effect of Intensive Versus Standard Blood Pressure Treatment According to Baseline Prediabetes Status: A Post Hoc Analysis of a Randomized Trial. Diabetes Care 2017;40:1401-1408.

info:eu-repo/semantics/publishedVersio