Abstract:
in this work we analyze the implications of using a power law distribution of vertice's quality in the growth dynamics of a network studied by bianconi and barabási. using this suggested distribution we show the degree distribution interpolates the barabási et al. model and bianconi et al. model. this modified model (with power law distribution) can help us understand the evolution of complex systems. additionally, we determine the exponent gamma related to the degree distribution, the time evolution of the average number of links,< ki >∝ (t/i)β (i coincindes with the input-time of the ith node), the average path length and the clustering coefficient.

Abstract:
We prove that all currently known examples of manifolds with nonnegative sectional curvature satisfy a stronger condition: their curvature operator can be modified with a 4-form to become positive-semidefinite.

Abstract:
We obtain a complete description of the moduli spaces of homogeneous metrics with strongly positive curvature on the Wallach flag manifolds $W^6$, $W^{12}$ and $W^{24}$, which are respectively the manifolds of complete flags in $\mathbb C^3$, $\mathbb H^3$ and $\mathbb{Ca}^3$. Together with our earlier work, this concludes the classification of simply-connected homogeneous spaces that admit a homogeneous metric with strongly positive curvature.

Abstract:
We begin a systematic study of a curvature condition (strongly positive curvature) which lies strictly between positive curvature operator and positive sectional curvature, and stems from the work of Thorpe in the 1970s. We prove that this condition is preserved under Riemannian submersions and Cheeger deformations, and that most compact homogeneous spaces with positive sectional curvature satisfy it.

Abstract:
percolation theory is of interest in problems of phase transitions in condensed matter physics, and in biology and chemistry. more recently, concepts of percolation theory have been invoked in studies of color deconfinement at high temperatures in quantum chromodynamics. in the present paper we briefly review the basic concept of percolation theory, exemplify its application to the ising model, and present the arguments for a possible relevance of percolation theory to the problem of color deconfinement.

Abstract:
Percolation theory is of interest in problems of phase transitions in condensed matter physics, and in biology and chemistry. More recently, concepts of percolation theory have been invoked in studies of color deconfinement at high temperatures in Quantum Chromodynamics. In the present paper we briefly review the basic concept of percolation theory, exemplify its application to the Ising model, and present the arguments for a possible relevance of percolation theory to the problem of color deconfinement.

Abstract:
we address this work to investigate symbolic sequences with long-range correlations by using computational simulation. we analyze sequences with two, three and four symbols that could be repeated l times, with the probability distribution p(l) ∝ 1/l μ. for these sequences, we verified that the usual entropy increases more slowly when the symbols are correlated and the tsallis entropy exhibits, for a suitable choice of q, a linear behavior. we also study the chain as a random walk-like process and observe a nonusual diffusive behavior depending on the values of the parameter μ.

Abstract:
We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze sequences with two, three and four symbols that could be repeated $l$ times, with the probability distribution $p(l)\propto 1/ l^{\mu}$. For these sequences, we verified that the usual entropy increases more slowly when the symbols are correlated and the Tsallis entropy exhibits, for a suitable choice of $q$, a linear behavior. We also study the chain as a random walk-like process and observe a nonusual diffusive behavior depending on the values of the parameter $\mu$.

Abstract:
strontium barium niobate (sbn) thin films in the composition 75/25 (sr0.75ba0.25nb2o 6) were deposited on pt/si substrates by a chemical method based in a polymeric resin obtained from different ion solutions. the films were crystallized in temperatures between 500 °c and 700 °c using a conventional furnace for 1 hour and using rapid thermal annealing (rta) for 60 seconds. the ferroelectric phase sbn was confirmed for films crystallized in temperatures above 600 oc, films thermal treated at 500 oc we noted the presence of other phases such as srnb2o6 and banb2o6, which are not ferroelectrics. the lattice parameters of the tetragonal sbn structure were calculated based in x-ray diffraction for different crystallization conditions and the values agree well with the values reported in literature for thin films obtained by other methods. the ferroelectrics parameters were obtained using a modified sawyer-tower circuit at 100 hz frequency and room temperature. for films crystallized at 700 oc the remanent polarization (pr) and coercive field (ec) values were 18 mc/cm2 and 180 kv/cm for conventional thermal treatment and 17 mc/cm2 e 235 kv/cm for rapid thermal annealing.

Abstract:
the aroma profiles of five distinct clonal red wines from aragonez vitis vinifera l. cultivar were studied by gas chromatography-olfactometry (gc-o) and descriptive sensory analysis. thirty-two odourant peaks were perceived by the sniffers in at least one of the five clonal wine extracts according to the gc-o posterior intensity method and twenty-nine odourant compounds were identified by gas chromatography-mass spectrometry (gc-ms). the 3-methylbutanoic acid, 2-phenylethanol, 4-vinylguaiacol, furaneol, and homofuraneol were the highest average intensity odourant compounds in all clonal wines. principal component analysis permitted the establishment of a relationship between the different odourant compound variables and the wines, as well as between the aroma descriptors and the wines. furthermore, a multiple linear regression model (68.9% explained variance) with a vector grouping 7 odourant compounds associated with aroma defects and a second vector grouping 13 compounds with fruity-sweet descriptors was found. the differentiation of the five clonal wines achieved by gc-o and descriptive sensory analysis revealed that these analyses are complementary.