Relevant bibliographies by topics / Hurwitz metrics

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Hurwitz metrics'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Hurwitz metrics"

1

Abenda, Simonetta, and Tamara Grava. "Reciprocal transformations and flat metrics on Hurwitz spaces." Journal of Physics A: Mathematical and Theoretical 40, no. 35 (2007): 10769–90. http://dx.doi.org/10.1088/1751-8113/40/35/004.

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2

Kalvin, Victor, and Alexey Kokotov. "Metrics of Constant Positive Curvature with Conical Singularities, Hurwitz Spaces, and Determinants of Laplacians." International Mathematics Research Notices 2019, no. 10 (2017): 3242–64. http://dx.doi.org/10.1093/imrn/rnx224.

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Minda, David. "The Hurwitz Metric." Complex Analysis and Operator Theory 10, no. 1 (2015): 13–27. http://dx.doi.org/10.1007/s11785-015-0446-y.

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4

Arstu and Swadesh Kumar Sahoo. "Carathéodory Density of the Hurwitz Metric on Plane Domains." Bulletin of the Malaysian Mathematical Sciences Society 43, no. 6 (2020): 4457–67. http://dx.doi.org/10.1007/s40840-020-00937-4.

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5

Kokotov, A., and D. Korotkin. "A new hierarchy of integrable systems associated to Hurwitz spaces." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1867 (2007): 1055–88. http://dx.doi.org/10.1098/rsta.2007.2061.

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In this paper, we introduce a new class of integrable systems, naturally associated to Hurwitz spaces (spaces of meromorphic functions over Riemann surfaces). The critical values of the meromorphic functions play the role of ‘times’. Our systems give a natural generalization of the Ernst equation; in genus zero, they realize the scheme of deformation of integrable systems proposed by Burtsev, Mikhailov and Zakharov. We show that any solution of these systems in rank 1 defines a flat diagonal metric (Darboux–Egoroff metric) together with a class of corresponding systems of hydrodynamic type and
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6

NIETO, J. A., and L. N. ALEJO-ARMENTA. "HURWITZ THEOREM AND PARALLELIZABLE SPHERES FROM TENSOR ANALYSIS." International Journal of Modern Physics A 16, no. 25 (2001): 4207–22. http://dx.doi.org/10.1142/s0217751x01005213.

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By using tensor analysis, we find a connection between normed algebras and the parallelizability of the spheres S 1, S 3 and S 7. In this process, we discovered the analog of Hurwitz theorem for curved spaces and a geometrical unified formalism for the metric and the torsion. In order to achieve these goals we first develop a proof of Hurwitz theorem based on tensor analysis. It turns out that in contrast to the doubling procedure and Clifford algebra mechanism, our proof is entirely based on tensor algebra applied to the normed algebra condition. From the tersor analysis point of view our pro
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7

Hofmann, H. J., and A. Davidson. "Paleoproterozoic stromatolites, Hurwitz Group, Quartzite Lake area, Northwest Territories, Canada." Canadian Journal of Earth Sciences 35, no. 3 (1998): 280–89. http://dx.doi.org/10.1139/e97-103.

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Decimetric to metric domal stromatolites with constituent ministromatolites characterize reddish, 13C-enriched dolostones in the Watterson Formation of the Quartzite Lake area west of Hudson Bay. They provide paleontologic support for a correlation with the only other known early Paleoproterozoic stromatolite occurrences in North America: the Kona Formation of Michigan, and the Nash Formation in southern Wyoming. They also are similar to stromatolites in probable coeval Jatulian carbonates in Karelia on the Baltic Shield, and possibly to stromatolites in the Hutuo Group in China.
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8

Hugaboom, Miya B., Neil Ruthen, Opeyemi Jegede, et al. "Abstract B013: T cell clonotype expansion is common in advanced renal cell carcinoma but is not associated with altered response to PD-1 blockade." Cancer Research 83, no. 16_Supplement (2023): B013. http://dx.doi.org/10.1158/1538-7445.kidney23-b013.

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Abstract The diversity of T cell receptors (TCRs) becomes increasingly restricted with advancing stage in renal cell carcinoma (RCC), with individual T cell clones becoming dramatically expanded. Further, prior studies have suggested that TCR clonality (i.e. less diversity) could be associated with improved clinical response to anti-PD-1 treatment. To further interrogate the TCR landscape of advanced RCC and its relation to both T cell phenotype and clinical outcomes, single-cell TCR sequencing (scTCR-seq) was performed in parallel with single-cell RNA sequencing (scRNA-seq) for eligible patie
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9

Chen, Zhi, Melvyn Sim, and Peng Xiong. "Robust Stochastic Optimization Made Easy with RSOME." Management Science 66, no. 8 (2020): 3329–39. http://dx.doi.org/10.1287/mnsc.2020.3603.

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We present a new distributionally robust optimization model called robust stochastic optimization (RSO), which unifies both scenario-tree-based stochastic linear optimization and distributionally robust optimization in a practicable framework that can be solved using the state-of-the-art commercial optimization solvers. We also develop a new algebraic modeling package, Robust Stochastic Optimization Made Easy (RSOME), to facilitate the implementation of RSO models. The model of uncertainty incorporates both discrete and continuous random variables, typically assumed in scenario-tree-based stoc
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10

Sarkar, Amar Deep, and Kaushal Verma. "On the Hurwitz metric." Kodai Mathematical Journal 44, no. 1 (2021). http://dx.doi.org/10.2996/kmj44108.

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Dissertations / Theses on the topic "Hurwitz metrics"

1

Sarkar, Amar Deep. "A Study of Some Conformal Metrics and Invariants on Planar Domains." Thesis, 2018. https://etd.iisc.ac.in/handle/2005/4910.

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The main aim of this thesis is to explain the behaviour of some conformal metrics and invariants near a smooth boundary point of a domain in the complex plane. We will be interested in the invariants associated to the Carathéodory metric such as its higher-order curvatures that were introduced by Burbea and the Aumann-Carathéodory rigidity constant, the Sugawa metric and the Hurwitz metric. The basic technical step in all these is the method of scaling the domain near a smooth boundary point. To estimate the higher-order curvatures using scaling, we generalize an old theorem of Suita on
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2

Ram, Mohan Devang S. "An Introduction to Minimal Surfaces." Thesis, 2014. http://etd.iisc.ac.in/handle/2005/2890.

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In the first chapter of this report, our aim is to introduce harmonic maps between Riemann surfaces using the Energy integral of a map. Once we have the desired prerequisites, we move on to show how to continuously deform a given map to a harmonic map (i.e., find a harmonic map in its homotopy class). We follow J¨urgen Jost’s approach using classical potential theory techniques. Subsequently, we analyze the additional conditions needed to ensure a certain uniqueness property of harmonic maps within a given homotopy class. In conclusion, we look at a couple of applications of what we have shown
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Ram, Mohan Devang S. "An Introduction to Minimal Surfaces." Thesis, 2014. http://etd.iisc.ernet.in/handle/2005/2890.

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In the first chapter of this report, our aim is to introduce harmonic maps between Riemann surfaces using the Energy integral of a map. Once we have the desired prerequisites, we move on to show how to continuously deform a given map to a harmonic map (i.e., find a harmonic map in its homotopy class). We follow J¨urgen Jost’s approach using classical potential theory techniques. Subsequently, we analyze the additional conditions needed to ensure a certain uniqueness property of harmonic maps within a given homotopy class. In conclusion, we look at a couple of applications of what we have shown
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Book chapters on the topic "Hurwitz metrics"

1

Isaev, Alexander. "Schwarz’s Lemma. Conformal Maps of the Unit Disk and the Upper Half-Plane. (Pre)-Compact Subsets of a Metric Space. Continuous Linear Functionals on H(D). Arzelà-Ascoli’s Theorem. Montel’s Theorem. Hurwitz’s Theorem." In Springer Undergraduate Mathematics Series. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68170-2_18.

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