Rotational integral geometry of tensor valuations

We derive a new rotational Crofton formula for Minkowski tensors. In special cases, this formula gives (1) the rotational average of Minkowski tensors defined on linear subspaces and (2) the functional defined on linear subspaces with rotational average equal to a Minkowski tensor. Earlier results obtained for intrinsic volumes appear now as special cases.

Corrected kriging update formulae for batch-sequential data assimilation

Recently, a lot of effort has been spent in the efficient computation of kriging predictors when observations are assimilated sequentially. In particular, kriging update formulae enabling significant computational savings were derived. Taking advantage of the previous kriging mean and variance computations helps avoiding a costly matrix inversion when adding one observation to the TeX already available ones. In addition to traditional update formulae taking into account a single new observation, Emery (2009) proposed formulae for the batch-sequential case, i.e. when TeX new observations are simultaneously assimilated. However, the kriging variance and covariance formulae given in Emery (2009) for the batch-sequential case are not correct. In this paper, we fix this issue and establish correct expressions for updated kriging variances and covariances when assimilating observations in parallel. An application in sequential conditional simulation finally shows that coupling update and residual substitution approaches may enable significant speed-ups.

An Integral View of Fast Shocks Around Supernova 1006

Supernova remnants are among the most spectacular examples of astrophysical pistons in our cosmic neighborhood. The gas expelled by the supernova explosion is launched with velocities ~1000 kilometers per second into the ambient, tenuous interstellar medium, producing shocks that excite hydrogen lines. We have used an optical integral-field spectrograph to obtain high-resolution spatial-spectral maps that allow us to study in detail the shocks in the northwestern rim of supernova 1006. The two-component Hα line is detected at 133 sky locations. Variations in the broad line widths and the broad-to-narrow line intensity ratios across tens of atomic mean free paths suggest the presence of suprathermal protons, the potential seed particles for generating high-energy cosmic rays.

Quasi-Self-Dual Exponential Lévy Processes

The important application of semistatic hedging in financial markets naturally leads to the notion of quasi--self-dual processes. The focus of our study is to give new characterizations of quasi--self-duality. We analyze quasi--self-dual Lévy driven markets which do not admit arbitrage opportunities and derive a set of equivalent conditions for the stochastic logarithm of quasi--self-dual martingale models. Since for nonvanishing order parameter two martingale properties have to be satisfied simultaneously, there is a nontrivial relation between the order and shift parameter representing carrying costs in financial applications. This leads to an equation containing an integral term which has to be inverted in applications. We first discuss several important properties of this equation and, for some well-known Lévy-driven models, we derive a family of closed-form inversion formulae.

Justifying induction on modal μ-formulae

We define a rank function for formulae of the propositional modal μ-calculus such that the rank of a fixed point is strictly bigger than the rank of any of its finite approximations. A rank function of this kind is needed, for instance, to establish the collapse of the modal μ-hierarchy over transitive transition systems. We show that the range of the rank function is ωω. Further we establish that the rank is computable by primitive recursion, which gives us a uniform method to generate formulae of arbitrary rank below ωω.

On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators

We consider one-dimensional Schrödinger-type operators in a bounded interval with non-self-adjoint Robin-type boundary conditions. It is well known that such operators are generically conjugate to normal operators via a similarity transformation. Motivated by recent interests in quasi-Hermitian Hamiltonians in quantum mechanics, we study properties of the transformations and similar operators in detail. In the case of parity and time reversal boundary conditions, we establish closed integral-type formulae for the similarity transformations, derive a non-local self-adjoint operator similar to the Schrödinger operator and also find the associated “charge conjugation” operator, which plays the role of fundamental symmetry in a Krein-space reformulation of the problem.

Finite volume effects in chiral perturbation theory with twisted boundary conditions

We study the effects of a finite cubic volume with twisted boundary conditions on pseudoscalar mesons. We apply Chiral Perturbation Theory in the p-regime and introduce the twist by means of a constant vector field. The corrections of masses, decay constants, pseudoscalar coupling constants and form factors are calculated at next-to-leading order. We detail the derivations and compare with results available in the literature. In some case there is disagreement due to a different treatment of new extra terms generated from the breaking of the cubic invariance. We advocate to treat such terms as renormalization terms of the twisting angles and reabsorb them in the on-shell conditions. We confirm that the corrections of masses, decay constants, pseudoscalar coupling constants are related by means of chiral Ward identities. Furthermore, we show that the matrix elements of the scalar (resp. vector) form factor satisfies the Feynman–Hellman Theorem (resp. the Ward–Takahashi identity). To show the Ward–Takahashi identity we construct an effective field theory for charged pions which is invariant under electromagnetic gauge transformations and which reproduces the results obtained with Chiral Perturbation Theory at a vanishing momentum transfer. This generalizes considerations previously published for periodic boundary conditions to twisted boundary conditions. Another method to estimate the corrections in finite volume are asymptotic formulae. Asymptotic formulae were introduced by Lüscher and relate the corrections of a given physical quantity to an integral of a specific amplitude, evaluated in infinite volume. Here, we revise the original derivation of Lüscher and generalize it to finite volume with twisted boundary conditions. In some cases, the derivation involves complications due to extra terms generated from the breaking of the cubic invariance. We isolate such terms and treat them as renormalization terms just as done before. In that way, we derive asymptotic formulae for masses, decay constants, pseudoscalar coupling constants and scalar form factors. At the same time, we derive also asymptotic formulae for renormalization terms. We apply all these formulae in combination with Chiral Perturbation Theory and estimate the corrections beyond next-to-leading order. We show that asymptotic formulae for masses, decay constants, pseudoscalar coupling constants are related by means of chiral Ward identities. A similar relation connects in an independent way asymptotic formulae for renormalization terms. We check these relations for charged pions through a direct calculation. To conclude, a numerical analysis quantifies the importance of finite volume corrections at next-to-leading order and beyond. We perform a generic Analysis and illustrate two possible applications to real simulations.

Signal relay between two integral membrane proteins: The sensory rhodopsin I/HtrI transducer molecular complex

The molecular complex of sensory rhodopsin I (SRI) and its transducer HtrI mediate color-sensitive phototaxis in the archaeon Halobacterium salinarum. Orange light causes an attractant response by a one-photon reaction and white light causes a repellent response by a two-photon reaction. Three aspects of this molecular complex were explored: (i) We determined the stoichiometry of SRI and HtrI to be 2:2 by gene fusion analysis. A SRI-HtrI fusion protein was expressed in H. salinarum and shown to mediate 1-photon and 2-photon phototaxis responses comparable to wild-type complex. Disulfide crosslinking demonstrated that the fusion protein is a homodimer in the membrane. Measurement of photochemical reaction kinetics and pH titration of absorption spectra established that both SRI domains are complexed to HtrI in the fusion protein, and therefore the stoichiometry is 2:2. (ii) Cytoplasmic channel closure of SRI by HtrI, an important aspect of their interaction, was investigated by incremental HtrI truncation. We found that binding of the membrane-embedded portion of HtrI is insufficient for channel closure, whereas cytoplasmic extension of the second HtrI transmembrane helix by 13 residues blocks proton conduction through the channel as well as full-length HtrI. The closure activity is localized to 5 specific residues, each of which incrementally contributes to reduction of proton conductivity. Moreover, these same residues in the dark incrementally and proportionally increase the pKa of the Asp76 counterion to the protonated Schiff base chromophore. We conclude that this critical region of HtrI alters the dark conformation of SRI as well as light-induced channel opening. (iii) We developed a procedure for reconstituting HtrI-free SRI and the SRI/HtrI complex into liposomes, which exhibit photocycles with opened and closed cytoplasmic channels, respectively, as in the membrane. This opens the way for study of the light-induced conformational change and the interaction in vitro by fluorescence and spin-labeling. Single-cysteine mutations were introduced into helix F of SRI, labeled with a nitroxide spin probe and a fluorescence probe, reconstituted into proteoliposomes, and light-induced conformational changes detected in the complex. The probe signals can now be used as the readout of signaling to analyze mutants and the kinetics of signal relay. ^

Estudio Integral del destino Iguazú-Cataratas. Controversias y desafíos para el desarrollo local II. 16H206

El estudio integral del destino IGUAZÚ-CATARATAS. Controversias y desafios para el desarrollo local II. para la presente etapa se propuso el objetivo general de “Contribuir al desarrollo del Destino Iguazú-Cataratas mediante la realización del estudio integral transfronterizo que permita la selección de las mejores alternativas de desarrollo local para la toma de decisiones en los respectivos municipiosciudades e instituciones públicas, privadas junto a la gestión de los Parques Nacionales”. Asimismo en el marco del objetivo general se desarrollaron los siguientes objetivos específicos:  Determinar y caracterizar en proceso continuo, las áreas de intervención y gestión municipal más urgentes en pos del ordenamiento territorial y ambiental de Puerto Iguazú, de elevada complejidad, apoyado en el programa político nacional y provincial, conjuntamente con las organizaciones sociales del municipio.  Indagar en la dinámica de desarrollo del Destino Iguazú – Cataratas los factores facilitadores e inhibidores de las variables económico-productivas, políticas y sociales (demográficas) en proceso; los flujos de la demanda y la evolución de la oferta que genera la actividad turística en dicho destino.  Estudiar comparativamente la sinergia generada a partir de los datos históricos y actuales de los visitantes en los Parques Nacionales de Argentina y Brasil, para identificar el rol promotor social, económico y turístico a fin de contrastarlo y lograr información que refleje la realidad de la actividad turística del Destino Iguazú-Cataratas.  Determinar y caracterizar el perfil socio laboral y trayectoria de vida de los residentes en las 2000 hectáreas, las formas de funcionamiento en redes de acciones de educación y trabajo cooperativo para construir escenarios alternativos en la expansión rururbana - periurbana en Puerto Iguazú.

Modelo de gestión integral : observatorio ambiental y ordenamiento del territorio

La provincia de Río Negro, Argentina, firma con la Unión Europea un acuerdo de cooperación para la realización del diseño e implementación de un Observatorio del ecosistema litoral y monitoreo de la biodiversidad con miras a establecer las bases para un desarrollo sustentable de la costa atlántica rionegrina. Este proyecto fue elaborado por el Instituto CIFOT y fue desagregado en las siguientes áreas de trabajo: Modelo de Información Espacial, Indicadores ambientales y página web. Los productos finales se obtienen mediante el análisis de variables dentro de un sistema integrado de SIG y Percepción remota, lo que permite evaluar el patrimonio humano natural y productivo, así como las tendencias del comportamiento de ecosistema costero y marino para poder construir un modelo de gestión integral del territorio. Los resultados de cada área de trabajo se integran en el primer Observatorio Ambiental en Argentina, a través de un prototipo de funcionamiento sustentado en un modelo de gestión que contempla la interacción entre el gobierno, entidades educativas y ONGs. El Observatorio permite la toma de decisiones a partir de datos reales en tiempo y forma, como también es la base para la elaboración del plan de ordenamiento de área costera de Río Negro y de un plan de manejo litoral atlántico.

Análisis y diseño inicial de un Cuadro de Mando Integral para un emprendimiento gastronómico

El objetivo de este trabajo es realizar un Análisis y diseño inicial de un Cuadro de Mando Integral para este emprendimiento gastronómico que nos permita vincular los objetivos estratégicos a largo plazo con las acciones de corto plazo e idear así un sistema de gestión apto para gestionar la implementación de la estrategia y detectar los puntos críticos y así poder enfocarse en la optimización y control de la gestión de dicho emprendimiento. Se reitera que el objetivo de este trabajo es el análisis y diseño inicial del CMI (y no su implementación), el cual se irá ajustando una vez llevado a la práctica, permitiendo así actualizar la estrategia y que la misma evolucione en respuesta a cambios en los entornos competitivos, tecnológicos y de mercado de la empresa. Para tal fin nos centraremos en un tipo de investigación descriptiva.

Alice Rio, Legal practice and the written world in the Early Middle Ages: Frankish Formulae, c. 500-1000. (Cambridge Studies in Medieval Life and Thought), Cambridge University Press, Cambridge, 2009; 299 pp. ISBN 978-0-521-51499-6

Fil: Peretó Rivas, Rubén.

Cuadro de mando integral y su aplicación en una empresa del rubro plástico

A raíz de las nuevas necesidades de información surgen novedosos modelos de gestión. Hoy en día, las organizaciones están compitiendo en entornos complejos y, por lo tanto, es vital que tengan una exacta comprensión de sus objetivos y de los métodos que han de utilizar para alcanzarlos. La nueva situación del mercado hace necesario considerar nuevos aspectos, tales como la perspectiva de los clientes, de los procesos internos, financiera, del aprendizaje y crecimiento y la comunidad. Por lo que las empresas, deberían contar con sistemas útiles de control de gestión como el Cuadro de Mando integral, para que brinde información en el momento que sea necesario. En este trabajo se busca detectar los puntos fuertes y débiles de la empresa Itam-Plas, para poder demostrar que el Cuadro de Mando Integral permite a la dirección conocer la situación de la empresa; facilitando la toma de decisiones y aplicando medidas correctivas ante cambios o desvíos de la realidad con lo planeado en forma instantánea e inmediata. Buscamos poner en evidencia, de que una empresa PYME puede lograr el cambio cultural a través del Cuadro de Mando Integral en forma de mejoras a corto y largo plazo.