1,720,955 research outputs found
Twisted Fusion Products and Quantum Twisted -Systems
No full textWe obtain a complete characterization of the space of matrix elements dual to the graded multiplicity space arising from fusion products of Kirillov-Reshetikhin modules over special twisted current algebras defined by Kus and Venkatesh, which generalizes the result of Ardonne and Kedem to the special twisted current algebras. We also prove the conjectural identity of -graded fermionic sums by Hatayama et al. for the special twisted current algebras, from which we deduce that the graded tensor product multiplicities of the fusion products of Kirillov-Reshetikhin modules over special twisted current algebras are both given by the -graded fermionic sums, and constant term evaluations of products of solutions of the quantum twisted -systems obtained by Di Francesco and Kedem.The author would like to thank Phillipe Di Francesco and Rinat Kedem for their helpful clarifications and illuminating discussions throughout the project. The author would also like to thank the anonymous referees for their careful reading of the manuscript and helpful suggestions to improve the exposition of this paper. Part of this work was completed while the author was a graduate student at the University of Illinois Urbana-Champaign, where the author was supported by a graduate fellowship from A*STAR (Agency for Science, Technology and Research, Singapore), and this work was also supported in part by the US National Science Foundation (DMS-1802044)
Generalized Bäcklund-Darboux transformations for Coxeter-Toda systems on simple Lie groups
Full text linkWe derive the cluster structure on the conjugation quotient Coxeter double Bruhat cells of a simple Lie group from that on the double Bruhat cells of the corresponding adjoint Lie group given by Fock and Goncharov using the notion of amalgamation given by Fock and Goncharov, and Williams, thereby generalizing the construction developed by Gekhtman \emph{et al}. We will then use this cluster structure on the conjugation quotient Coxeter double Bruhat cells to construct generalized Bäcklund-Darboux transformations between two Coxeter-Toda systems on simple Lie groups in terms of cluster mutations, thereby generalizing the construction developed by Gekhtman \emph{et al}. We show that these generalized Bäcklund-Darboux transformations preserve Hamiltonian flows generated by the restriction of the trace function of any representation of the simple Lie group, from which we deduce that the family of Coxeter-Toda systems on a simple Lie group forms a single cluster integrable system. Finally, we also develop network formulations of the Coxeter-Toda Hamiltonians for the classical Lie groups, and use these network formulations to obtain combinatorial formulas for these Coxeter-Toda Hamiltonians.92 pages, 34 figures. This paper is largely based on the author\u27s (currently unpublished) doctorate thesis of the same title intended for future journal publicatio
Generalized Bäcklund-Darboux transformations for Coxeter-Toda systems on simple Lie groups
Full text linkIn the first part of this thesis, we construct generalized Bäcklund-Darboux transformations between two Coxeter-Toda systems on simple Lie groups from a cluster algebraic prospective, using the cluster structure on Coxeter double Bruhat cells developed by Fock-Goncharov, Gekhtman et al. and Williams, thereby generalizing the construction developed by Gekhtman et al. We will then show that these generalized Backlund-Darboux transformations preserve Hamiltonian flows generated by the restriction of the trace function of any representation of the simple Lie group. In the second part of this thesis, we develop network formulations of the Coxeter-Toda Hamiltonians for the classical Lie groups, and use these network formulations to obtain combinatorial formulas for the conserved quantities of certain Q-systems.Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2023-08-01The student, Mingyan Lin, accepted the attached license on 2021-07-13 at 14:20.The student, Mingyan Lin, submitted this Dissertation for approval on 2021-07-13 at 14:35.This Dissertation was approved for publication on 2021-07-15 at 08:02.DSpace SAF Submission Ingestion Package generated from Vireo submission #16911 on 2022-01-12 at 12:54:54Made available in DSpace on 2022-01-12T22:35:13Z (GMT). No. of bitstreams: 2
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Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Full text linkWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Dispelling the Myths Behind First-author Citation Counts
Full text linkWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
koamabayili/VECTRON-author-checklist: VECTRON author checklist
No full textWe have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
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