On rational maps from a general surface in P^3 to surfaces of general type

We study the dominant rational maps from a general surface in P^{3} to surfaces of general type. We prove restrictions on the target surfaces, and special properties of the rational maps. We show that for a small degree the general surface has no such map. Moreover a slight improvement of a result of Catanese, on the number of moduli of a surface of general type, is also obtained.Comment: 19 pages, accepted in Advances in Geometr

The high temperature region of the Viana-Bray diluted spin glass model

In this paper, we study the high temperature or low connectivity phase of the Viana-Bray model. This is a diluted version of the well known Sherrington-Kirkpatrick mean field spin glass. In the whole replica symmetric region, we obtain a complete control of the system, proving annealing for the infinite volume free energy, and a central limit theorem for the suitably rescaled fluctuations of the multi-overlaps. Moreover, we show that free energy fluctuations, on the scale 1/N, converge in the infinite volume limit to a non-Gaussian random variable, whose variance diverges at the boundary of the replica-symmetric region. The connection with the fully connected Sherrington-Kirkpatrick model is discussed.Comment: 24 page

Statistical models and genetic evaluation of binomial traits

Generalized mixed model methodology and MCMC simulations were used to estimate genetic parameters for calving rate and calf survival with the normal, probit, and logistic models. Calving rate and calf survival were defined as 0 each time a cow failed to calf or a calf failed to survive to weaning age, otherwise they were set to 1. Data were available on 1,458 cows and on 5,015 calves. Cows produced a total of 4,808 records over 4 discrete generations of rotational crosses between Angus, Brahman, Charolais, and Hereford from 1977 to 1995. The heritability of calving rate and calf survival, the EPDs of sires, and mean performance for calving rate and calf survival for various rotational crossbreeding systems were computed. The probit model and the logistic model each failed a lack of fit test based on the scaled deviance for calf survival. Spearmen correlations measured potential change in the ranking of bull EPDs across models. The normal model estimate of heritability for calving rate and calf survival was 0.062 ± 0.023 and 0.038 ± 0.019, respectively. Heritability estimates from the other models were slightly larger when adjusted, but smaller than 20%. Spearman rank correlations were larger than 0.98 indicating a minimal change in the ranking of bull EPDs. The H-B two-breed rotation cows had a higher calving rate than A-B or C-B two-breed rotation cows. The best mating system for calving rate was the A-H two-breed rotation system (0.93 ± 0.07), and the best system for calf survival was the A-B-H three-breed rotation system (0.98 ± 0.03). Three- and four-breed rotation systems were similar to two-breed rotation cows for calving rate. The differences between three-breed and four-breed rotation systems were minimal. Heritability estimates found in this study for calving rate and calf survival were similar to the literature estimates. Sire EPD range varied among models but was less for the normal model. Predicted performance for mating systems is possible with estimates of genetic effects

On the finiteness theorem for rational maps on a variety of general type

The dominant rational maps of finite degree from a fixed variety to varieties of general type, up to birational isomorphisms, form a finite set. This has been known as the Iitaka-Severi conjecture, and is nowdays an established result, in virtue of some recent advances in the theory of pluricanonical maps. We study the question of finding some effective estimate for the finite number of maps, and to this aim we provide some update and refinement of the classical treatment of the subject.Comment: 20 pages, to appear in Collectanea Mathematic

On the influence of metastable states and the behavior of the EEDF in the characterization of the negative glow of a N2-Ar discharge by OES

Optical emission spectroscopy (OES) is an essential diagnostic technique in many plasma systems, such as those used for surface treatments or fabrication of thin films. Despite the simplicity of application of OES, its interpretation is not straightforward. In particular, it requires the use of models, which due to the complexity and variety of discharge conditions, have not yet been fully understood [1]–[3]. In addition, Langmuir probes have been widely used to characterize plasmas. They allow the measurement of several parameters of interest, such as the electron density and temperature, as well as the determination of the electron energy distribution function (EEDF) by numerical derivation of the characteristic V − I [4] or by probe-current modulation [5]. In this work, some second positive system bands in the negative glow of an Ar-N2 plasma at a pressure of 2.5 Torr were investigated both by OES and Langmuir probes, for different mixture concentrations. The main purpose of this study was to verify how metastable states and the behavior of the EEDF may influence the interpretation of OES dataFil: Isola, Lucio Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: López, Maia Melina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: Gomez, Bernardo Jose Armando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: Guerra, Vasco. Instituto Superior Tecnico; Portuga

The Ising-Sherrington-Kirpatrick model in a magnetic field at high temperature

We study a spin system on a large box with both Ising interaction and Sherrington-Kirpatrick couplings, in the presence of an external field. Our results are: (i) existence of the pressure in the limit of an infinite box. When both Ising and Sherrington-Kirpatrick temperatures are high enough, we prove that: (ii) the value of the pressure is given by a suitable replica symmetric solution, and (iii) the fluctuations of the pressure are of order of the inverse of the square of the volume with a normal distribution in the limit. In this regime, the pressure can be expressed in terms of random field Ising models

Central limit theorem for fluctuations in the high temperature region of the Sherrington-Kirkpatrick spin glass model

In a region above the Almeida-Thouless line, where we are able to control the thermodynamic limit of the Sherrington-Kirkpatrick model and to prove replica symmetry, we show that the fluctuations of the overlaps and of the free energy are Gaussian, on the scale N^{-1/2}, for N large. The method we employ is based on the idea, we recently developed, of introducing quadratic coupling between two replicas. The proof makes use of the cavity equations and of concentration of measure inequalities for the free energy.Comment: 18 page