A conjecture of Bavula on homomorphisms of Weyl algebra

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Generalized Weyl solutions

It was shown by Weyl that the general static axisymmetric solution of the vacuum Einstein equations in four dimensions is given in terms of a single axisymmetric solution of the Laplace equation in three-dimensional flat space. Weyls construction is generalized here to arbitrary dimension D>~4. The general solution of the D-dimensional vacuum Einstein equations that admits D-2 orthogonal commuting non-null Killing vector fields is given either in terms of D-3 independent axisymmetric solutions of Laplaces equation in three-dimensional flat space or by D-4 independent solutions of Laplaces equation in two-dimensional flat space. Explicit examples of new solutions are given. These include a five-dimensional asymptotically flat black ring with an event horizon of topology S1S2 held in equilibrium by a conical singularity in the form of a disk.

On the configuration of Herman rings of meromorphic functions

We prove some results concerning the possible configuration s of Herman rings for transcendental meromorphic functions. We show that one pole is enough to obtain cycles of Herman rings of arbitrary period a nd give a sufficient condition for a configuration to be realizable.

Embedding theorems of funcitional classes, III

In this paper we obtain the necessary and sufficient conditions for embedding results of different function classes. The main result is a criterion for embedding theorems for the so-called generalized Weyl-Nikol'skii class and the generalized Lipschitz class. To define the Weyl-Nikol'skii class, we use the concept of a (λ,β)-derivative, which is a generalization of the derivative in the sense of Weyl. As corollaries, we give estimates of norms and moduli of smoothness of transformed Fourier series.

Maria-Antònia Oliver, traductora

Maria-Antònia Oliver i Cabrer (Manacor, 1946) és una de les poques traductores al català que han aprofundit en la teoria de la traducció i que han plasmat els seus pensaments sobre paper. Coneixem a bastament el seu vessant literari gràcies a un bon grapat d’estudis que s’han dut a terme des de diverses universitats dels Països Catalans i també des d’algunes de fora de les nostres fronteres. Amb tot, la faceta de torsimany sovint ha estat esmentada de passada, malgrat hagi portat al català autors i autores de renom com ara Virginia Woolf, Herman Melville, Italo Calvino o Mark Twain. Maria-Antònia Oliver, traductora situa l’autora en el moment en què ha traduït, se centra en la seva idea sobre la traducció, cataloga les seves traduccions i visibilitza la figura d’una traductora prolífica.

Mosaico mediterráneo. El Arte como herramienta de diálogo intercultural

El presente trabajo de investigación doctoral reflexiona sobre el aporte de las prácticas artísticas contemporáneas en los procesos de diálogo entre culturas en el Mediterráneo. En las dinámicas de percepción, acercamiento y (re)conocimiento del otro y de las culturas otras, todos los medios informativos y de comunicación pueden ser, por un lado, válidos y efectivos como, por otro, pueden desviar de la verdad y difundir fácilmente numerosos prejuicios. Frente a la “síntesis” operada por los medios de comunicación tradicionales, donde “el Otro” es a menudo objeto de representaciones estereotipadas, las prácticas artísticas, en su sentido más amplio, contraponen un “análisis” que puede permitir, en diferentes casos, la eliminación de las barreras y un mayor acercamiento a la cultura otra. En la presente investigación se quiere trazar un itinerario teórico que parte de las hipótesis orientalistas, pasa por las filosofías del encuentro con el otro; los estudios sobre la participación; las actuales reflexiones sobre la estética relacional; las definiciones históricas y socio-políticas del Mediterráneo; hasta llegar a reconocer en el arte, en la creación artística, el medio de comunicación más eficaz y penetrante a la hora de refinar el conocimiento y (re)descubrir los diferentes aspectos de las culturas de los países y de los pueblos del Mediterráneo. En el espacio plural del Mediterráneo las prácticas artísticas y creativas actuales actúan como un campo de experimentación y un territorio de debate valioso e importante para el desarrollo del discurso intercultural.

Identificació de subjectes a partir de l'anàlisi de dades multimodals RGB-Depth

En aquest treball s'explora el camp de la identificació facial de subjectes utilitzant tècniques d'anàlisi multimodal. Això és utilitzant imatges RGB i imatges de profunditat (3D) amb l'objecte de validar les diverses tècniques emprades en el reconeixement facial i aprofundir en sistemes que incorporen informació tridimensional als algorismes de detecció i identificació facial.

Proteomic analysis of peach fruit mesocarp softening and chilling injury using difference gel electrophoresis (DIGE)

Background: Peach fruit undergoes a rapid softening process that involves a number of metabolic changes. Storing fruit at low temperatures has been widely used to extend its postharvest life. However, this leads to undesired changes, such as mealiness and browning, which affect the quality of the fruit. In this study, a 2-D DIGE approach was designed to screen for differentially accumulated proteins in peach fruit during normal softening as well as under conditions that led to fruit chilling injury. Results:The analysis allowed us to identify 43 spots -representing about 18% of the total number analyzed- that show statistically significant changes. Thirty-nine of the proteins could be identified by mass spectrometry. Some of the proteins that changed during postharvest had been related to peach fruit ripening and cold stress in the past. However, we identified other proteins that had not been linked to these processes. A graphical display of the relationship between the differentially accumulated proteins was obtained using pairwise average-linkage cluster analysis and principal component analysis. Proteins such as endopolygalacturonase, catalase, NADP-dependent isocitrate dehydrogenase, pectin methylesterase and dehydrins were found to be very important for distinguishing between healthy and chill injured fruit. A categorization of the differentially accumulated proteins was performed using Gene Ontology annotation. The results showed that the 'response to stress', 'cellular homeostasis', 'metabolism of carbohydrates' and 'amino acid metabolism' biological processes were affected the most during the postharvest. Conclusions: Using a comparative proteomic approach with 2-D DIGE allowed us to identify proteins that showed stage-specific changes in their accumulation pattern. Several proteins that are related to response to stress, cellular homeostasis, cellular component organization and carbohydrate metabolism were detected as being differentially accumulated. Finally, a significant proportion of the proteins identified had not been associated with softening, cold storage or chilling injury-altered fruit before; thus, comparative proteomics has proven to be a valuable tool for understanding fruit softening and postharvest.

Spin-2 gravitational trace anomaly

The part proportional to the Euler-Poincar characteristic of the contribution of spin-2 fields to the gravitational trace anomaly is computed. It is seen to be of the same sign as all the lower-spin contributions, making anomaly cancellation impossible. Subtleties related to Weyl invariance, gauge independence, ghosts, and counting of degrees of freedom are pointed out.

Issue of time in generally covariant theories and the Komar-Bergmann approach to observables in general relativity

Diffeomorphism-induced symmetry transformations and time evolution are distinct operations in generally covariant theories formulated in phase space. Time is not frozen. Diffeomorphism invariants are consequently not necessarily constants of the motion. Time-dependent invariants arise through the choice of an intrinsic time, or equivalently through the imposition of time-dependent gauge fixation conditions. One example of such a time-dependent gauge fixing is the Komar-Bergmann use of Weyl curvature scalars in general relativity. An analogous gauge fixing is also imposed for the relativistic free particle and the resulting complete set time-dependent invariants for this exactly solvable model are displayed. In contrast with the free particle case, we show that gauge invariants that are simultaneously constants of motion cannot exist in general relativity. They vary with intrinsic time.

Spin-3/2 gravitational trace anomaly

It is argued that previous computations of the spin-(3/2 anomaly have spurious contributions, as there is Weyl-invariance breaking already at the classical level. The genuine, gauge-invariant, spin-(3/2 gravitational trace anomaly is computed here.

Billy Budd: de H. Melville a E. M. Forster, o la via Plutarquea vers Plató

L'objectiu d'aquest article és proposar i fonamentar una via plutarquea -no només Les Vides Paral·leles, sinó també L'Eròtic- vers el contingut platònic de Billy Budd de B. Britten amb libretto d'E. M. Fosrter en col·laboració amb Eric Crozier. H. Melville no cita pas Plutarc en la seva novel·la, però l'excel·lent coneixement dels textos de l'escriptor i filòsof grec per part d'E. M. Foster fa que aquesta hipòtesi sigui altament versemblant.

Billy Budd: de H. Melville a E. M. Forster, o la via Plutarquea hacia Platón

El objetivo de este artículo es proponer y fundamentar una vía plutarquea -no sólo Las Vidas Parelelas, sino tambén El Eròtico- al contenido platónico de Billy Budd de B. Britten con libreto de E. M. Foster en colaboración con Eric Crozier. H. Melville no cita a Plutarco en su novela, pero el excelente conocimiento de los textos del escritor y filósofo griego por parte de E. M. Forster hace que esta hipótesis sea altamente verosímil.

Billy Budd: from H. Melville to E. M. Forster, or Plutarch's way to Plató

The aim of this article is to propose and lay the foundations of a Plutarch's way ¿not only his Lives but also his Eroticus- to the Platonic content of Billy Budd by B. Britten with a libretto by E. M. Forster in association with Eric Crozier. Plutarch is not quoted in H. Melville¿s novel, but E. M. Forster¿s good knowledge of the texts by the Greek writer and philosopher makes this hypothesis quite credible

Stochastic semiclassical equations for weakly inhomogeneous cosmologies

Semiclassical Einstein-Langevin equations for arbitrary small metric perturbations conformally coupled to a massless quantum scalar field in a spatially flat cosmological background are derived. Use is made of the fact that for this problem the in-in or closed time path effective action is simply related to the Feynman-Vernon influence functional which describes the effect of the ``environment,'' the quantum field which is coarse grained here, on the ``system,'' the gravitational field which is the field of interest. This leads to identify the dissipation and noise kernels in the in-in effective action, and to derive a fluctuation-dissipation relation. A tensorial Gaussian stochastic source which couples to the Weyl tensor of the spacetime metric is seen to modify the usual semiclassical equations which can be veiwed now as mean field equsations. As a simple application we derive the correlation functions of the stochastic metric fluctuations produced in a flat spacetime with small metric perturbations due to the quantum fluctuations of the matter field coupled to these perturbations.