15,560 research outputs found

    On Topological Chaos in the Robinson-Solow-Srinivasan Model

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    In this paper, we offer an instance of (topologically) chaotic optimal behavior in a twosector model with irreversible investment, originally formulated by Robinson, Solow and Srinivasan. Our result follows from the theory of turbulence in non-linear dynamical systems, and relies only on the existence of a continuous optimal policy function. The fact that there is a unique optimal program from each initial stock when future utilities are discounted by a factor smaller than the labor-capital ratio may be of independent interest.

    Dr M. R. Srinivasan: A Gentle Visionary

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    Dr. M. R. Srinivasan (1930–2025) was a pioneering Indian nuclear engineer and is hailed as the father of India’s civil nuclear programme. He played a key role in developing indigenous nuclear power reactors and establishing institutions like the Nuclear Power Corporation of India Ltd (NPCIL). As former Chairman of the Atomic Energy Commission, his leadership ensured India’s self-reliance in nuclear technology despite global restrictions. For his contributions, he was honoured with the Padma Shri, Padma Bhushan, and Padma Vibhushan

    Cheleocloeon vaigaiensis Sivaruban & Srinivasan & Barathy & Isack & Kluge 2022, sp. n.

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    Cheleocloeon vaigaiensis sp. n. (Figs 1–59) Material. Holotype: L-S-I ♂, INDIA, Tamil Nadu state, Madurai, river Vaigai, 30.VII.2022, coll. P. Srinivasan, R. Isack (AMC; new species register number 258). Paratypes: the same locality, and collectors, 28–31.VII.2021: 1 LS-I ♂, 1 L-S ♂, 1 L-S-I ♀, 4 larvae (AMC; new species register number 259). The same locality, 10.II.2016, coll. N. Kluge, 1 male larva (ZIN). Etymology. The new species is named after the river Vaigai, in which it was collected.Published as part of Sivaruban, T., Srinivasan, Pandiarajan, Barathy, S., Isack, Rajasekaran & Kluge, Nikita, 2022, First report of Cheleocloeon Wuillot & Gillies 1993 (Ephemeroptera: Baetidae) from the Oriental Region, pp. 339-352 in Zootaxa 5209 (3) on page 341, DOI: 10.11646/zootaxa.5209.3.3, http://zenodo.org/record/732968

    A class of gorenstein artin algebras of embedding dimension four

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    In this article, we study height four graded Gorenstein ideals I in k[x, y, z, w] such that I2 is of height one and generated by three quadrics. After a suitable linear change of variables, I ∩ k[x, y, z] is either Gorenstein or of type two. The former case was studied by Iarrobino and Srinivasan [8] where they give the structure of the ideal and its resolution. We study the latter case and give the structure of these ideals and their minimal resolution. We also explicitly write the form of the generators of I and the maps in the free resolution of R-I. © Taylor andamp; Francis Group, LLC.Artin E., 1957, INTERSCIENCE TRACTS, V3; BROWN A, 1984, THESIS BRANDEIS U WA; BROWN AE, 1987, J ALGEBRA, V105, P308, DOI 10.1016-0021-8693(87)90196-7; BUCHSBAUM DA, 1977, AM J MATH, V99, P447, DOI 10.2307-2373926; BUCHSBAU.DA, 1973, J ALGEBRA, V25, P259, DOI 10.1016-0021-8693(73)90044-6; Eisenbud D., 1994, GRADUATE TEXTS MATH, V150; ELKHOURY S, 2007, THESIS U MISSOURI MI; Iarrobino A, 2005, J PURE APPL ALGEBRA, V201, P62, DOI 10.1016-j.jpaa.2004.12.015; KUSTIN A, 1982, T AM MATH SOC, V270, P287, DOI 10.2307-1999773; Macaulay F. S., 1994, ALGEBRAIC THEORY MOD; Srinivasan H., 2003, ADV ALGEBRA GEOMETRY, P93; SRINIVASAN H, 1977, CONT MATH, V99, P44711

    Bronze image casting in Tanjavur District, Tamil Nadu: Ethnoarchaeological and archaeometallurgical insights

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    The profusion of metal images made in the Tanjavur region, going back to the early medieval Chola bronzes of the 9th-13th century ranks amongst the finest of Indian artistic expressions. Clusters of artistic and artisanal activities have thrived over generations in the Tanjavur district including metalworking workshops for bronze and bell metal casting of images and ritual objects especially around Swamimalai and Kumbakonam. Ethnometallurgical and archaeometallurgical insights on the making of icons at Swamimalai are highlighted from observations made over the past couple of decades, especially in relation to making comparisons with historical practices of bronze casting going back to Chola times. Since the processes are rapidly undergoing change, to get a better sense of the trajectory of past practices, this paper particularly aims to highlight unpublished observations made by the author going back to her first visits in 1990-1, as background to her doctoral work (Srinivasan 1996) and in relation to observations reported by other scholars going back to the early landmark efforts of Reeves (1962). These observations were particularly made by the author at the workshop of late master craftsman Devasena Sthapathy, in his time the most renowned of Swamimalai Sthapathis. His son Radhakrishna Sthapathy has now inherited this mantle. While Levy et al (2008) give a more recent account of image casting at the workshop of Radhakrishna Sthapathy, this paper attempts to also contextualise the previous trajectory that has not been covered much therein. Since their workshop now goes under the name of Sri Jayam Industries, for the sake of convenience it will be referred here by the same name

    Redescrição de Cymodoce madrasensis (Srinivasan, 1959) combinação nova (Sphaeromatidae: Isopoda: Crustacea) de Madras, Índia

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    O autor estudou quase todas as espécies da família Sphaeromatidae (Isopoda), da Coleção de Crustacea do USNM, e a espécie constante do catálogo 102151 USNM, na época, não possuia identificação razão pela qual o autor enquadrou no gênero Cymodoce. Hoje está classificada como Exosphaeroma madrasensis Srinivasan, 1959. Este gênero não condiz com as características da espécie motivo pelo qual o autor procedeu a transferência para o gênero Cymodoce Leach, 1814, e estabeleceu nova combinação Cymodoce madrasensis (Srinivasan, 1959).The author studying a male of Exosphaeroma madrasensis Srinivasan, 1959, catalog 102151 Division of Crustacea - USNM, describes and transfers the species to the genus Cymodoce Leach, 1814 establishing a new combination Cymodoce madrasensis (Srinivasan, 1959)

    Gorenstein hilbert coefficients

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    We prove upper and lower bounds for all the coefficients in the Hilbert polynomial of a graded Gorenstein algebra S = R-I with a quasi-pure resolution over R. The bounds are in terms of the minimal and the maximal shifts in the resolution of R. These bounds are analogous to the bounds for the multiplicity found in [9] and are stronger than the bounds for the Cohen Macaulay algebras found in [5]. © 2013 Rocky Mountain Mathematics Consortium.Boij M, 2008, J LOND MATH SOC, V78, P85, DOI 10.1112-jlms-jdn013; Bruns W., 1993, CAMBR STUD ADV MATH, V39; PESKINE C, 1974, CR ACAD SCI A MATH, V278, P1421; Eisenbud D, 2009, J AM MATH SOC, V22, P859; El Khoury S., 2011, INT J ALG, V5, P679; Herzog J, 1998, T AM MATH SOC, V350, P2879, DOI 10.1090-S0002-9947-98-02096-0; Herzog J, 2009, P AM MATH SOC, V137, P487; HUNEKE C, 1985, CAN J MATH, V37, P1149, DOI 10.4153-CJM-1985-062-4; Srinivasan H, 1998, J ALGEBRA, V208, P425, DOI 10.1006-jabr.1998.74130
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