4,119 research outputs found

    Topological recursion for Orlov-Scherbin tau functions, and constellations with internal faces

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    We study the correlators Wg,nW_{g,n} arising from Orlov-Scherbin 2-Toda tau functions with rational content-weight G(z)G(z), at arbitrary values of the two sets of time parameters. Combinatorially, they correspond to generating functions of weighted Hurwitz numbers and (m,r)(m,r)-factorisations of permutations. When the weight function is polynomial, they are generating functions of constellations on surfaces in which two full sets of degrees (black/white) are entirely controlled, and in which internal faces are allowed in addition to boundaries. We give the spectral curve (the "disk" function W0,1W_{0,1}, and the "cylinder" function W0,2W_{0,2}) for this model, generalising Eynard's solution of the 2-matrix model which corresponds to G(z)=1+zG(z)=1+z, by the addition of arbitrarily many free parameters. Our method relies both on the Albenque-Bouttier combinatorial proof of Eynard's result by slice decompositions, which is strong enough to handle the polynomial case, and on algebraic arguments. Building on this, we establish the topological recursion (TR) for the model. Our proof relies on the fact that TR is already known at time zero (or, combinatorially, when the underlying graphs have only boundaries, and no internal faces) by work of Bychkov-Dunin-Barkowski-Kazarian-Shadrin (or Alexandrov-Chapuy-Eynard-Harnad for the polynomial case), and on the general idea of deformation of spectral curves due to Eynard and Orantin, which we make explicit in this case. As a result of TR, we obtain strong structure results for all fixed-genus generating functions.Comment: 43 pages. v2: added Section 7 covering the case of a rational-exponential weight function. The rest of the paper is unchange

    Open cluster candidates in the VVVX area: VVVX CL 076 and CL 077

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    We are reporting some basic parameters of two newly discovered clusters, VVVX CL 076 and CL 077, recently discovered in the galactic disk area covered by the VISTA Variables in the Via Lactea eXtended (VVVX) ESO Public Survey. The preliminary analysis shows that both clusters are young and relatively close to the Sun.Peer reviewedFinal Published versio

    Sorption aspects for unconsolidated materials of the São Carlos region (SP), Brazil

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    O transporte de poluentes líquidos e gasosos, em meios geológicos porosos, depende das características físicas e químicas dos materiais inconsolidados, rochas, águas, assim como das características dos poluentes. Entre essas características, os aspectos da sorção têm importância fundamental e são função da mineralogia e respectivas proporções, pH, Eh e das características dos vazios. Na região de São Carlos, centro leste do Estado de São Paulo, Brasil, ocorrem 2 tipos de materiais inconsolidados, sendo um residual dos arenitos com cimento constituído de finos e, secundariamente, argilitos, siltitos e conglomerados da Formação Itaqueri, de idade cretácea, e outro sedimento arenoso de idade terciária. Esses materiais geológicos constituem as bases de muitos locais onde são lançados produtos químicos, caracterizados como fontes de poluição difusa ou pontual, e, por este motivo, foi desenvolvido um estudo para avaliá-los quanto aos aspectos de sorção para alguns cátions inorgânicos que são freqüentes nessas fontes, em concentrações variadas. Para tal, foram caracterizados ainda quanto ao peso específico dos sólidos, granulometria, mineralogia e índices físico-químicos. Para avaliar os aspectos de sorção, foram desenvolvidos ensaios de equilíbrio em lote (Batch Test), utilizando soluções químicas de KCl, ZnCl2 e CuCl.H2O, considerando três valores de pH para as soluções constituídas pelos materiais inconsolidados e as espécies químicas, assim como a mistura das três soluções.The transport of liquid and gaseous pollutants through porous geological media depends on the physical and chemical characteristics of the unconsolidated material, rocks and water, associated with the characteristics of the pollutants. Of these characteristics, the sorption aspect is of fundamental importance and is a function of the mineral proportions, pH, Eh and void aspects encountered in the porous media. In the São Carlos region, located in the eastern-central part of the State of São Paulo, Brazil, there are basically two types of unconsolidated materials: the first is a residual from sandstones cemented with fines and the secondarily composed of claystones, siltstones and conglomerates from the Cretaceous Period that constitute the Itaqueri Formation; the second is a sandy sediment of the Tertiary Period. These geological conditions are found in areas where chemical products are disposed of, characterized as either diffuse or point pollutions sources. Because of this situation, a study was developed to evaluate the sorption aspects of some inorganic cations that are frequently found in these sources, in varied concentrations. Taken into consideration were their physical/chemical properties, such as: specific weight, grain size, mineralogy, cationic exchange capacity, pH, hydraulic conductivity. Batch tests were run using solutions of KCl, ZnCl2 and CuCl.H2O at three different pH values, and then with a combined solution (KCl + ZnCl2 + CuCl.H2O), also at three different pH values

    Mejoramiento geométrico de la trocha carrozable entre los caseríos Sogobara – Punchaypampa, Santiago de Chuco, La Libertad

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    El trabajo se inicia con la recopilación de la información existente, referida a la zona de estudio, topografía, características locales y socio-económicas, etc. Luego de haber obtenido la información de campo, se procedió al trabajo en gabinete, los cuales fueron procesados con software de diseño de carreteras, como el AutoCAD Civil 3D, obteniendo una longitud total de 7 Kilómetros. Hecho el estudio Socio Económico y Técnico, se pudo clasificar como: carretera de tercera clase. Se realizó el levantamiento topográfico teniendo como base una poligonal abierta, en la cual se utilizó el equipo mínimo necesario: estación total, prisma, teodolito electrónico, miras, nivel de Ingeniero, wincha de 50 metros, siguiendo el “Manual de Diseño Geométrico para Carreteras DG-2018”. En el perfil Longitudinal se trazó la subrasante, para el estudio de suelos y cantera para el cual se hicieron 7 calicatas, situadas a lo largo del eje de la vía y una de ellas fue destinada para el estudio de material de canteras, realizándose los ensayos en laboratorio. Las capas de revestimiento granular, son de espesor de 30 cm a nivel de afirmado. El material para la conformación de la Subbase y la base a usar, será extraído de la cantera ubicada a 300 m del lado izquierdo del caserío Sogobara proyectado de la carretera, cuyo suelo es un A-1-b (0) y tiene un CBR de 47.41%. Como todo proyecto de esta naturaleza, se realizó un estudio hidrológico para evacuar las aguas pluviales, conteniendo estas el diseño de cunetas y alcantarillas de alivio. El cálculo realizado fue por el Método Racional

    Prion-like proteins : from computational approaches to proteome-wide analysis

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    Altres ajuts: ICREA-Academia 2020Prions are self-perpetuating proteins able to switch between a soluble state and an aggregated-and-transmissible conformation. These proteinaceous entities have been widely studied in yeast, where they are involved in hereditable phenotypic adaptations. The notion that such proteins could play functional roles and be positively selected by evolution has triggered the development of computational tools to identify prion-like proteins in different kingdoms of life. These algorithms have succeeded in screening multiple proteomes, allowing the identification of prion-like proteins in a diversity of unrelated organisms, evidencing that the prion phenomenon is well conserved among species. Interestingly enough, prion-like proteins are not only connected with the formation of functional membraneless protein-nucleic acid coacervates, but are also linked to human diseases. This review addresses state-of-the-art computational approaches to identify prion-like proteins, describes proteome-wide analysis efforts, discusses these unique proteins' functional role, and illustrates recently validated examples in different domains of life

    Check-Agnosia based Post-Processor for Message-Passing Decoding of Quantum LDPC Codes

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    The inherent degeneracy of quantum low-density parity-check codes poses a challenge to their decoding, as it significantly degrades the error-correction performance of classical message-passing decoders. To improve their performance, a post-processing algorithm is usually employed. To narrow the gap between algorithmic solutions and hardware limitations, we introduce a new post-processing algorithm with a hardware-friendly orientation, providing error correction performance competitive to the state-of-the-art techniques. The proposed post-processing, referred to as check-agnosia, is inspired by stabilizer-inactivation, while considerably reducing the required hardware resources, and providing enough flexibility to allow different message-passing schedules and hardware architectures. We carry out a detailed analysis for a set of Pareto architectures with different tradeoffs between latency and power consumption, derived from the results of implemented designs on an FPGA board. We show that latency values close to one microsecond can be obtained on the FPGA board, and provide evidence that much lower latency values can be obtained for ASIC implementations. In the process, we also demonstrate the practical implications of the recently introduced t-covering layers and random-order layered scheduling
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