6,653 research outputs found

    Grillo, F.

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    Modified Special Relativity on a fluctuating spacetime

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    It was recently proposed that deformations of the relativistic symmetry, as those considered in deformed special relativity (DSR), can be seen as the outcome of a measurement theory in the presence of non-negligible (albeit small) quantum gravitational fluctuations [S. Liberati, S. Sonego, and M. Visser, Phys. Rev. D 71, 045001 (2005).][R. Aloisio, A. Galante, A. Grillo, S. Liberati, E. Luzio, and F. Mendez, Phys. Rev. D 73, 045020 (2006).]. In this paper we explicitly consider the case of a spacetime described by a flat metric endowed with stochastic fluctuations and, for a free particle, we show that DSR-like nonlinear relations between the spaces of the measured and classical momenta, can result from the average of the stochastic fluctuations over a scale set to be the de Broglie wavelength of the particle. As illustrative examples we consider explicitly the averaging procedure for some simple stochastic processes and discuss the physical implications of our results

    "Pace, pace, morte ai dazi e alle gabelle" : il peso della guerra nella Lombardia del primo Trecento

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    For more than a quarter of a century, between 1311 and 1338, Lombardy was shaken by civil clashes and major international conflicts, but the paper shows that we must not overestimate the destructive power of these wars, because most of the wages of mercenaries and booties were reintroduced into local economic circuits. Indirect damage, such as the increase in taxes or the insecurity of trade, were more serious problems, but after the early consolidation of the signoria of Azzone Visconti, between 1329 and 1339, the region experienced a period of relative peace, which made it possible to quickly recover the losses sustained in the previous years and to avoid any long-term consequences

    Modified special relativity on a fluctuating spacetime

    No full text
    It was recently proposed that deformations of the relativistic symmetry, as those considered in deformed special relativity (DSR), can be seen as the outcome of a measurement theory in the presence of nonnegligible (albeit small) quantum gravitational fluctuations [S. Liberati, S. Sonego, and M. Visser, Phys. Rev. D 71, 045001 (2005).][R. Aloisio, A. Galante, A. Grillo, S. Liberati, E. Luzio, and F. Mendez, Phys. Rev. D 73, 045020 (2006).]. In this paper we explicitly consider the case of a spacetime described by a flat metric endowed with stochastic fluctuations and, for a free particle, we show that DSR-like nonlinear relations between the spaces of the measured and classical momenta, can result from the average of the stochastic fluctuations over a scale set to be the de Broglie wavelength of the particle. As illustrative examples we consider explicitly the averaging procedure for some simple stochastic processes and discuss the physical implications of our results

    Fractional porous media equations: existence and uniqueness of weak solutions with measure data

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    We prove existence and uniqueness of solutions to a class of porous media equations driven by the fractional Laplacian when the initial data are positive finite Radon measures on the Euclidean space Rd. For given solutions without a prescribed initial condition, the problem of existence and uniqueness of the initial trace is also addressed. By the same methods we can also treat weighted fractional porous media equations, with a weight that can be singular at the origin, and must have a sufficiently slow decay at infinity (power-like). In particular, we show that the Barenblatt-type solutions exist and are unique. Such a result has a crucial role in Grillo et al. (Discret Contin Dyn Syst 35:5927–5962, 2015), where the asymptotic behavior of solutions is investigated. Our uniqueness result solves a problem left open, even in the non-weighted case, in Vázquez (J Eur Math Soc 16:769–803, 2014)

    La blogosfera degli elettori: la community di Grillo

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    Profilo linguistico e retorico delle scelte espressive adottate nel blog di Beppe Grillo

    Entrevista com Sheila Grillo: Análise de Discursos Comparativa no Brasil

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    No dia 12 do mês de abril de 2022, Sheila Vieira de Camargo Grillo, professora livre-docente e pesquisadora da FFLCH/USP, recebeu-nos, gentilmente, em sua casa, para a realização desta entrevista, por meio da qual pudemos ouvir a autora a respeito de alguns pontos essenciais de uma nova abordagem de investigação científica no Brasil, a Análise de Discursos Comparativa ou Análise do Discurso Contrastiva (denominação adotada na França, país de origem da abordagem). A professora Sheila Grillo, a partir das perguntas que lhe fizemos, discorreu, dentre outros aspectos, sobre o surgimento dos princípios epistemológicos da abordagem em nosso país, citou alguns de seus importantes eventos ocorridos até o presente momento, bem como nos falou acerca da importância de trabalhos desenvolvidos entre ela e demais pesquisadores do Grupo de Pesquisa Diálogo (CNPq/USP) com professores e pesquisadores do grupo CLESTHIA – axe sens et discours, da Université Sorbonne Nouvelle, Paris 3. Desse modo, aproveitamos o espaço para agradecer à entrevistada pelo acolhimento e pelas informações disponibilizadas. Convidamos o leitor da Linha D’Água a apreciar o resultado deste trabalho.On April 12, 2022, Sheila Vieira de Camargo Grillo, a professor and researcher at the Faculty of Philosophy, Languages and Literature, and Human Sciences of the University of São Paulo, kindly welcomed us to her home for this interview. We were able to hear the author talk about the essential points of a new approach to scientific investigation in Brazil, Comparative Discourse Analysis or Contrastive Discourse Analysis (the name adopted in France, where it originated). Professor Sheila Grillo, based on the questions we asked, spoke about, among other topics, the emergence of the epistemological principles of Comparative Discourse Analysis in Brazil, mentioned some of the important events that have taken place until 2022, and also told us about the importance of the work carried out between herself and other researchers from the Diálogo Research Group (CNPq/USP) with professors and researchers at CLESTHIA - axe sens et discours, from Université Sorbonne Nouvelle, Paris 3. Thus, we take this opportunity to thank the interviewee for the welcoming reception and for the information provided. We invite the reader of Linha D\u27Água to appreciate the result of this work

    L’ecfrasi mistica nei «Pietosi affetti» di Angelo Grillo

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    Analisi del rapporto tra testo e immagine (nelle sue varie declinazioni) all'interno dei "Pietosi affetti" di Angelo Grillo, principale lirico sacro nell'età compresa tra Tasso e Marino

    Millerandage and flower abscission in ‘Grillo’, ‘Frappato’ and ‘Nero d’Avola’ grapevines: Some probable causes

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    Some Sicilian cultivars, in particular vintage, showed a high percentage of flower abscissions and shot berries. In this paper, to understand these phenomena, some aspects of the flower morphology of three Sicilian cultivars (two black: ‘Nero d’Avola’ and ‘Frappato’; and one white: ‘Grillo’) was studied. The number of stamens, ovule adherence to the ovary wall and pollen germination were evaluated using standard light microscopy. At harvest, seed number was counted on 30 berries per cultivar. The percentage of six stamens was lowest in ‘Frappato’ and highest in ‘Grillo’. The ovule adherence to the ovary wall was highest in ‘Frappato’ and lowest in ‘Nero d’Avola’. The percentage of pollen germination and seed number was high in ‘Frappato’ while low in ‘Grillo’. Five or six stamens were found in all cultivars. These results could partially explain the different bunch density in ‘Nero d’Avola’, ‘Grillo’ and ‘Frappato’

    Radial fast diffusion on the hyperbolic space

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    We consider positive radial solutions to the fast diffusion equationon the hyperbolic space. By radial, we mean solutions depending only on the geodesic distance r from a given point o ∈ H^N. We investigate their fine asymptotics near the extinction time T in terms of a separable solution defined in terms of the unique positive energy solution, radial with respect to o, to a semilinear elliptic problem thoroughly studied in [G. Mancini and K. Sandeep, ‘On a semilinear elliptic equation in Hn’, Ann. Sc. Norm. Super. Pisa Cl. Sci. 7 (2008) 635–671; M. Bonforte, F. Gazzola, G. Grillo and J. L. Vazquez, ‘Classification of radial solutions to the Emden–Fowler equation on the hyperbolic space’, Calc. Var. Partial Differential Equations 46 (2013) 375–401]. We show that u converges to V in relative error. Solutions are smooth, and bounds on derivatives are given as well. In particular, sharp convergence results as t → T are shown for spatial derivatives, again in the form of convergence in relative error
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