DPW Potentials for Compact Symmetric CMC Surfaces in S3\mathbb{S}^3

Inspired by the work of Heller [12], we show that there exists a DPW potential for the Lawson surface $\xi_{k-1, l-1}$ from which it is possible to reconstruct the minimal immersion $f: \xi_{k-1, l-1} \to \mathbb{S}^3$ via the DPW method. Moreover, we extend the result to surfaces immersed in the 3-sphere with constant mean curvature which satisfy a certain symmetric condition.Comment: 20 pages, to appear in Journal of Geometry and Physic

The 2-category of species of dynamical patterns

A new category $\mathfrak{dp}$, called of dynamical patterns addressing a primitive, nongeometrical concept of dynamics, is defined and employed to construct a $2-$category $2-\mathfrak{dp}$, where the irreducible plurality of species of context-depending dynamical patterns is organized. We propose a framework characterized by the following additional features. A collection of experimental settings is associated with any species, such that each one of them induces a collection of experimentally detectable trajectories. For any connector $T$, a morphism between species, any experimental setting $E$ of its target species there exists a set such that with each of its elements $s$ remains associated an experimental setting $T[E,s]$ of its source species, $T[\cdot,s]$ is called charge associated with $T$ and $s$. The vertical composition of connectors is contravariantly represented in terms of charge composition. The horizontal composition of connectors and $2-$cells of $2-\mathfrak{dp}$ is represented in terms of charge transfer. A collection of trajectories induced by $T[E,s]$ corresponds to a collection of trajectories induced by $E$ (equiformity principle). Context categories, species and connectors are organized respectively as $0,1$ and $2$ cells of $2-\mathfrak{dp}$ with factorizable functors via $\mathfrak{dp}$ as $1-$cells and as $2-$cells, arranged themself to form objects of categories, natural transformations between $1-$cells obtained as horizontal composition of natural transformations between the corresponding factors. We operate a nonreductionistic interpretation positing that the physical reality holds the structure of $2-\mathfrak{dp}$, where the fibered category $\mathfrak{Cnt}$ of connectors is the only empirically knowable part...

Sticky Information and Inflation Persistence: Evidence from U.S. Data

This paper provides a novel single equation estimator of the Sticky Information Phillips Curve (SIPC), which permits to estimate the exact model without any approximation or truncation. In detail, information stickiness is estimated by employing a GMM estimator that matches the theoretical with the actual covariances between current inflation and the lagged exogenous shocks that affect firms’ pricing decisions, which are considered the moments that measure inflation persistence. The main result of the paper is to show that the SIPC model can match inflation persistence only at the cost of mispredicting the variance of inflation, which is a novel finding in the empirical literature on the SIPC.Sticky Information, Inflation Persistence, two-stage GMM estimator

TARGETING “REAL FARMERS” WITH REFORMED CAP PAYMENTS: AN ANALYSIS FOR ITALY

A multi-sector model is used to assess the targeting of CAP payments in Italy, according with alternative definitions of the “real farmers” institutional sector. The model is based on a Social Accounting Matrix of the Italian economy, properly adapted to represent the process of income formation and distribution in agriculture. The accounting framework has been integrated with a set of microeconomic information from the Farm Business Survey, a sample of agricultural holdings representative of the whole industry in Italy. The effects of changes in CAP payments have been assessed through a process in which impacts moves from the micro to the macro module of the model and return, in an iterative way. A vector of final income increase for each household included in the survey is obtained and used to reclassify impacts according to alternative definition of the real farmer sector. Results show that the distributive structure of the Italian agriculture as well as the way the policy is implemented are likely to affect the targeting of payments under alternative definitions of the beneficiary group.Common Agricultural Policy, targeting, income distribution, social accounting matrix, Agricultural and Food Policy, Research Methods/ Statistical Methods, Q18 agricultural policy, D57 input-output tables and analysis, D30 distribution general,