On the homotopy theory of spectral categories

"Vegeu el resum a l'inici del document del fitxer adjunt."

Spectral analysis of random sparse matrices

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On spectral properties of the modified convolution operator

Vegeu el resum a l'inici del document del fitxer adjunt.

Krein's strings whose spectral functions are of polynomial growth

In case Krein's strings with spectral functions of polynomial growth a necessary and su fficient condition for the Krein's correspondence to be continuous is given.

Weighted Logratio Biplots, Correspondence Analysis and Spectral Maps

Starting with logratio biplots for compositional data, which are based on the principle of subcompositional coherence, and then adding weights, as in correspondence analysis, we rediscover Lewi's spectral map and many connections to analyses of two-way tables of non-negative data. Thanks to the weighting, the method also achieves the property of distributional equivalence

On spectral approximation, Folner sequences and crossed products

In this article we review first some of the possibilities in which the notions of Fo lner sequences and quasidiagonality have been applied to spectral approximation problems. We construct then a canonical Fo lner sequence for the crossed product of a concrete C* -algebra and a discrete amenable group. We apply our results to the rotation algebra (which contains interesting operators like almost Mathieu operators or periodic magnetic Schrödinger operators on graphs) and the C* -algebra generated by bounded Jacobi operators.

Parametrization of spectral surfaces of a class of periodic 5-diagonal matrices

The main result of this work is a parametric description of the spectral surfaces of a class of periodic 5-diagonal matrices, related to the strong moment problem. This class is a self-adjoint twin of the class of CMV matrices. Jointly they form the simplest possible classes of 5-diagonal matrices.

Impedance boundary conditions for pseudo-spectral time-domain methods in room acoustics

The pseudo-spectral time-domain (PSTD) method is an alternative time-marching method to classicalleapfrog finite difference schemes in the simulation of wave-like propagating phenomena. It is basedon the fundamentals of the Fourier transform to compute the spatial derivatives of hyperbolic differential equations. Therefore, it results in an isotropic operator that can be implemented in an efficient way for room acoustics simulations. However, one of the first issues to be solved consists on modeling wallabsorption. Unfortunately, there are no references in the technical literature concerning to that problem. In this paper, assuming real and constant locally reacting impedances, several proposals to overcome this problem are presented, validated and compared to analytical solutions in different scenarios.

Impedance boundary conditions for pseudo-spectral time-domain methods in room acoustics

The Pseudo-Spectral Time Domain (PSTD) method is an alternative time-marching method to classical leapfrog finite difference schemes inthe simulation of wave-like propagating phenomena. It is based on the fundamentals of the Fourier transform to compute the spatial derivativesof hyperbolic differential equations. Therefore, it results in an isotropic operator that can be implemented in an efficient way for room acousticssimulations. However, one of the first issues to be solved consists on modeling wall absorption. Unfortunately, there are no references in thetechnical literature concerning to that problem. In this paper, assuming real and constant locally reacting impedances, several proposals toovercome this problem are presented, validated and compared to analytical solutions in different scenarios.

Interplay of spectral efficiency, power and doppler spectrum for reference-signal-assisted wireless communication

Expressions relating spectral efficiency, power, and Doppler spectrum, are derived for Rayleigh-faded wireless channels with Gaussian signal transmission. No side information on the state of the channel is assumed at the receiver. Rather, periodic reference signals are postulated in accordance with the functioning of most wireless systems. The analysis relies on a well-established lower bound, generally tight and asymptotically exact at low SNR. In contrast with most previous studies, which relied on block-fading channel models, a continuous-fading model is adopted. This embeds the Doppler spectrum directly in the derived expressions, imbuing them with practical significance. Closed-form relationships are obtained for the popular Clarke-Jakes spectrum and informative expansions, valid for arbitrary spectra, are found for the low- and high-power regimes. While the paper focuses on scalar channels, the extension to multiantenna settings is also discussed.

Spectral efficiency in reference-signal-assisted low-power wireless communication

Expressions relating spectral efficiency, power and Doppler spectrum are derived for low-power Rayleighfaded wireless channels with proper complex signaling. Noside information on the state of the channel is assumed at the receiver. Rather, periodic reference signals are postulated inaccordance with the functioning of most wireless systems. In contrast with most previous studies, which relied on block-fading channel models, a continuous-fading model is adopted. This embeds the Doppler spectrum directly in thederived expressions thereby imbuing them with practical significance.

(Re-) Shaping hatred: Anti-Semitic attitudes in Germany, 1890-2006

In this paper, we assess the determinants of long-run persistence of localculture, and examine the success of policy interventions designed to change attitudes.We analyze anti-Semitic attitudes drawing on individual-level survey results fromGermany s social value survey in 1996 and 2006. On average, we find that historicalvoting patterns for anti-Semitic parties between 1890 and 1933 are powerfulpredictors of anti-Jewish attitudes today. There is evidence that transmission takesplace both vertically (parent to child) and horizontally (among peers). Policy modifiedGerman views on Jews in important ways: The cohort that grew up under the Naziregime shows significantly higher levels of anti-Semitism. After 1945, the victoriousAllies implemented denazification programs in their zones of occupation. We usedifferences in these policies between the occupying powers as a source of identifyingvariation. The US and French zones today still show high anti-Semitism, reflecting anambitious botched attempt at denazification. In contrast, the British and Soviet zones,register much lower levels of Jew-hatred.

Does money matter in shaping domestic business cycles? An international investigation (with appendices)

We study the contribution of money to business cycle fluctuations in the US,the UK, Japan, and the Euro area using a small scale structural monetary business cycle model. Constrained likelihood-based estimates of the parameters areprovided and time instabilities analyzed. Real balances are statistically importantfor output and inflation fluctuations. Their contribution changes over time. Models giving money no role provide a distorted representation of the sources of cyclicalfluctuations, of the transmission of shocks and of the events of the last 40 years.

Globalization and culture shaping the gender gap: A comparative analysis of urban Latin America and East Asia (1970 - 2000)

In this paper we present: 1. The available data on comparative gender inequality at themacroeconomic level and 2. Gender inequality measures at the microeconomic and case studylevel. We see that market openness has a significant effect on the narrowing of the human capitalgender gap. Globalization and market openness stand as factors that improve both the humancapital endowments of women and their economic position. But we also see that the effects ofculture and religious beliefs are very different. While Catholicism has a statistically significantinfluence on the improvement of the human capital gender gap, Muslim and Buddhist religiousbeliefs have the opposite effect and increase human capital gender differences.In the second global era, some Catholic Latin American countries benefited from market opennessin terms of the human capital and income gender gap, whereas we find the opposite impact inBuddhist and Muslim countries like China and South Korea where women s economic positionhas worsened in terms of human capital and wage inequality.