Relevant bibliographies by topics / Riemannian geometry / Dissertations / Theses
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Dissertations / Theses on the topic 'Riemannian geometry'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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1

Lord, Steven. "Riemannian non-commutative geometry /." Title page, abstract and table of contents only, 2002. http://web4.library.adelaide.edu.au/theses/09PH/09phl8661.pdf.

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2

Collin, Jan-Ola. "The Existence of Riemannian Metrics on Real Vector Bundles." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-151964.

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In this thesis we present a self-contained proof of the existence of Riemannian metrics on real vector bundles.<br>I denna uppsats presenterar vi ett självständigt bevis på existensen av Riemannskametriker på reella vektorbuntar.
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3

Hall, Stuart James. "Numerical methods and Riemannian geometry." Thesis, Imperial College London, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.538692.

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4

Ferreira, Ana Cristina Castro. "Riemannian geometry with skew torsion." Thesis, University of Oxford, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.526550.

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5

Wu, Bao Qiang. "Geometry of complete Riemannian Submanifolds." Lyon 1, 1998. http://www.theses.fr/1998LYO10064.

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La géométrie rienmannienne des sous-variétés a connu ces cinquante dernières années un essor considérable, essentiellement dans le cas compact. Cette thèse a pour but de développer des outils consacrés à l'étude des sous-variétés riemanniennes complètes. Ces outils sont proches de ceux développés par Bochner et Lichnérowicz. Ils sont particulièrement adaptés aux problèmes de rigidité de certains types de sous-variétés complètes : celles qui sont à courbure moyenne constante dans un espace hyperbolique. Il est ainsi possible d'obtenir un théorème de classification de ces sous-variétés. D'autres
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6

Boarotto, Francesco. "Topics in sub-Riemannian geometry." Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4881.

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This thesis is concerned with three different problems in sub-Riemannian geometry faced during my PhD. The first one is a problem in differential geometry and is about the local conformal classification of a certain class of sub-Riemannian structures. In the second one we deal with topology, and our main result establish some path-fibration properties for the Endpoint map. In the third and last problem, we begin the development of some variational calculus around critical points of the endpoint map, called abnormal controls, and we estabilish a counterpart of the classical Morse deformation te
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7

Palmer, Ian Christian. "Riemannian geometry of compact metric spaces." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/34744.

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A construction is given for which the Hausdorff measure and dimension of an arbitrary abstract compact metric space (X, d) can be encoded in a spectral triple. By introducing the concept of resolving sequence of open covers, conditions are given under which the topology, metric, and Hausdorff measure can be recovered from a spectral triple dependent on such a sequence. The construction holds for arbitrary compact metric spaces, generalizing previous results for fractals, as well as the original setting of manifolds, and also holds when Hausdorff and box dimensions differ---in particular, it does n
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8

Raineri, Emanuele. "Quantum Riemannian geometry of finite sets." Thesis, Queen Mary, University of London, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.414738.

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9

Habermann, Karen. "Geometry of sub-Riemannian diffusion processes." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/271855.

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Sub-Riemannian geometry is the natural setting for studying dynamical systems, as noise often has a lower dimension than the dynamics it enters. This makes sub-Riemannian geometry an important field of study. In this thesis, we analysis some of the aspects of sub-Riemannian diffusion processes on manifolds. We first focus on studying the small-time asymptotics of sub-Riemannian diffusion bridges. After giving an overview of recent work by Bailleul, Mesnager and Norris on small-time fluctuations for the bridge of a sub-Riemannian diffusion, we show, by providing a specific example, that, unlike
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10

Gentile, Alessandro. "Geodesics and horizontal-path spaces in sub-Riemannian geometry." Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/3901.

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11

Dunn, Corey. "Curvature homogeneous pseudo-Riemannian manifolds /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1188874491&sid=3&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2006.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 146-147). Also available for download via the World Wide Web; free to University of Oregon users.
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12

Lärz, Kordian. "Global aspects of holonomy in pseudo-Riemannian geometry." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2011. http://dx.doi.org/10.18452/16363.

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In dieser Arbeit untersuchen wir die Interaktion von Holonomie und der globalen Geometrie von Lorentzmannigfaltigkeiten und pseudo-Riemannschen Untermannigfaltigkeiten in Räumen konstanter Krümmung. Insbesondere konstruieren wir schwach irreduzible, reduzible Lorentzmetriken auf den Totalräumen von gewissen Kreisbündeln, was zu einer Konstruktionsmethode von Lorentzmannigfaltigkeiten mit vorgegebener Holonomiedarstellung führt. Danach führen wir eine Bochnertechnik für die Lorentzmannigfaltigkeiten ein, die ein nirgends verschwindendes, paralleles, lichtartiges Vektorfeld zulassen, dessen orth
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13

Schiappa, Ricardo. "Aspects of Riemannian geometry in quantum field theories." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/85337.

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14

Ghezzi, Roberta. "Almost-Riemannian Geometry from a Control Theoretical Viewpoint." Doctoral thesis, SISSA, 2010. http://hdl.handle.net/20.500.11767/4140.

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15

Becker, Christian. "On the Riemannian geometry of Seiberg-Witten moduli spaces." Phd thesis, [S.l. : s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=975744771.

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16

Majid, Shahn, and Andreas Cap@esi ac at. "Riemannian Geometry of Quantum Groups and Finite Groups with." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi902.ps.

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17

Paulat, Martin [Verfasser]. "Sub-Riemannian geometry and heat kernel estimates / Martin Paulat." Kiel : Universitätsbibliothek Kiel, 2008. http://d-nb.info/1019659203/34.

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18

Bullo, Francesco Murray Richard M. "Nonlinear control of mechanical systems : a Riemannian geometry approach /." Diss., Pasadena, Calif. : California Institute of Technology, 1999. http://resolver.caltech.edu/CaltechETD:etd-02072008-100242.

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19

Nicolussi, Golo Sebastiano. "Topics in the geometry of non Riemannian lie groups." Doctoral thesis, Università degli studi di Trento, 2017. https://hdl.handle.net/11572/367715.

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This dissertation consists of an introduction and four papers. The papers deal with several problems of non-Riemannian metric spaces, such as sub-Riemannian Carnot groups and homogeneous metric spaces. The research has been carried out between the University of Trento (Italy) and the University of Jyväskylä (Finland) under the supervision of prof. F. Serra Cassano and E. Le Donne, respectively. In the following we present the abstracts of the four papers. 1) REGULARITY PROPERTIES OF SPHERES IN HOMOGENEOUS GROUPS E. Le Donne AND S. Nicolussi Golo We study left-invariant distances on Lie gr
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20

Nicolussi, Golo Sebastiano. "Topics in the geometry of non Riemannian lie groups." Doctoral thesis, University of Trento, 2017. http://eprints-phd.biblio.unitn.it/2668/1/SebastianoNicolussiGolo-PhDThesisUnitn.pdf.

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This dissertation consists of an introduction and four papers. The papers deal with several problems of non-Riemannian metric spaces, such as sub-Riemannian Carnot groups and homogeneous metric spaces. The research has been carried out between the University of Trento (Italy) and the University of Jyväskylä (Finland) under the supervision of prof. F. Serra Cassano and E. Le Donne, respectively. In the following we present the abstracts of the four papers. 1) REGULARITY PROPERTIES OF SPHERES IN HOMOGENEOUS GROUPS E. Le Donne AND S. Nicolussi Golo We study left-invariant distances on Li
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21

Barilari, Davide. "Invariants, volumes and heat kernels in sub-Riemannian geometry." Doctoral thesis, SISSA, 2011. http://hdl.handle.net/20.500.11767/4631.

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Sub-Riemannian geometry can be seen as a generalization of Riemannian geometry under non-holonomic constraints. From the theoretical point of view, sub-Riemannian geometry is the geometry underlying the theory of hypoelliptic operators (see [32, 57, 70, 92] and references therein) and many problems of geometric measure theory (see for instance [18, 79]). In applications it appears in the study of many mechanical problems (robotics, cars with trailers, etc.) and recently in modern elds of research such as mathematical models of human behaviour, quantum control or motion of self-propulsed micro
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22

Li, Chengbo. "Parametrized Curves in Lagrange Grassmannians and Sub-Riemannian Geometry." Doctoral thesis, SISSA, 2009. http://hdl.handle.net/20.500.11767/4625.

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The thesis is devoted to Differential Geometry of parametrized curves in Lagrange Grassmannians and its applications to Optimal Control Problems and Hamiltonian Dynamics, especially to Sub-Riemannian Geometry.
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23

Frost, George. "The projective parabolic geometry of Riemannian, Kähler and quaternion-Kähler metrics." Thesis, University of Bath, 2016. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.690742.

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We present a uniform framework generalising and extending the classical theories of projective differential geometry, c-projective geometry, and almost quaternionic geometry. Such geometries, which we call \emph{projective parabolic geometries}, are abelian parabolic geometries whose flat model is an R-space $G\cdot\mathfrak{p}$ in the infinitesimal isotropy representation $\mathbb{W}$ of a larger self-dual symmetric R-space $H\cdot\mathfrak{q}$. We also give a classification of projective parabolic geometries with $H\cdot\mathfrak{q}$ irreducible which, in addition to the aforementioned class
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24

Rizzi, Luca. "The curvature of optimal control problems with applications to sub-Riemannian geometry." Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/4841.

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Optimal control theory is an extension of the calculus of variations, and deals with the optimal behaviour of a system under a very general class of constraints. This field has been pioneered by the group of mathematicians led by Lev Pontryagin in the second half of the 50s and nowadays has countless applications to the real worlds (robotics, trains, aerospace, models for human behaviour, human vision, image reconstruction, quantum control, motion of self-propulsed micro-organism). In this thesis we introduce a novel definition of curvature for an optimal control problem. In particular it w
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25

LaGatta, Tom. "Geodesics of Random Riemannian Metrics." Diss., The University of Arizona, 2010. http://hdl.handle.net/10150/193749.

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We introduce Riemannian First-Passage Percolation (Riemannian FPP) as a new model of random differential geometry, by considering a random, smooth Riemannian metric on R^d . We are motivated in our study by the random geometry of first-passage percolation (FPP), a lattice model which was developed to model fluid flow through porous media. By adapting techniques from standard FPP, we prove a shape theorem for our model, which says that large balls under this metric converge to a deterministic shape under rescaling. As a consequence, we show that smooth random Riemannian metrics are geodesically
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26

Wells, Matthew J. "ASPECTS OF THE GEOMETRY OF METRICAL CONNECTIONS." UKnowledge, 2009. http://uknowledge.uky.edu/gradschool_diss/749.

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Differential geometry is about space (a manifold) and a geometric structure on that space. In Riemann’s lecture (see [17]), he stated that “Thus arises the problem, to discover the matters of fact from which the measure-relations of space may be determined...”. It is key then to understand how manifolds differ from one another geometrically. The results of this dissertation concern how the geometry of a manifold changes when we alter metrical connections. We investigate how diverse geodesics are in different metrical connections. From this, we investigate a new class of metrical connections wh
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27

Alekseevsky, Dmitri, Andreas Kriegl, Mark Losik, Peter W. Michor, and Peter Michor@esi ac at. "The Riemannian Geometry of Orbit Spaces. The Metric, Geodesics, and." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi997.ps.

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28

Elsabrouty, Maha. "Riemannian geometry based blind signal separation using independent component analysis." Thesis, University of Ottawa (Canada), 2006. http://hdl.handle.net/10393/29291.

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Blind Source Separation is one of the newest and most active research areas in adaptive filtering. It represents the solution for many real situations in the audio, speech processing and telecommunication fields. The word "blind" reflects the fact that neither the source nor the mixing channel is known. This is, clearly, a more difficult situation compared to conventional adaptive filtering problems. Algorithms developed for blind separation reflect this difficulty. They possess a higher degree of sophistication compared with algorithms in other adaptive filtering approaches. The cost function
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29

Malchiodi, Andrea. "Existence and multiplicity results for some problems in Riemannian geometry." Doctoral thesis, SISSA, 2000. http://hdl.handle.net/20.500.11767/4627.

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30

Stavrov, Iva. "Spectral geometry of the Riemann curvature tensor /." view abstract or download file of text, 2003. http://wwwlib.umi.com/cr/uoregon/fullcit?p3095275.

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Thesis (Ph. D.)--University of Oregon, 2003.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 236-241). Also available for download via the World Wide Web; free to University of Oregon users.
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31

Collas, Antoine. "Riemannian geometry for statistical estimation and learning : application to remote sensing." Electronic Thesis or Diss., université Paris-Saclay, 2022. http://www.theses.fr/2022UPASG075.

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Les systèmes de télédétection offrent une opportunité accrue d'enregistrer des séries temporelles d'images multivariées de la surface de la Terre. Ainsi, l'intérêt pour les outils automatiques de traitement de ces données augmente considérablement. Dans cette thèse, nous proposons un pipeline de partitionnement et de classification pour segmenter des séries temporelles d'images multivariées. Pour ce faire, des paramètres de lois de probabilité sont estimés de manière robuste puis partitionnés ou classifiés. Une grande partie de la thèse est consacrée à la théorie de la
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32

Cuadros, Valle Jaime. "Hypersato Structures." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96376.

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We define hypersato structures: these structures admit three inequivalent Sasakian structures such that each of these structures shares a common Reeb vector field and a common contact form with the others two. It is interestingto notice that hypersato manifolds can be viewed as U(1) principal orbibundles with base space a 4n-dimensional hyperkahler orbifold. We also discuss some results on the moduli problem of these structures.<br>Definimos variedades hipersato: estas variedades admiten tres estructuras del tipo Sasaki inequivalentes de tal manera que estas tres estructuras poseen un campo v
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33

Onodera, Mitsuko. "Study of rigidity problems for C2[pi]-manifolds." Sendai : Tohoku Univ, 2006. http://www.gbv.de/dms/goettingen/52860726X.pdf.

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34

Pearson, John Clifford. "The noncommutative geometry of ultrametric cantor sets." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/24657.

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Thesis (Ph.D.)--Mathematics, Georgia Institute of Technology, 2008.<br>Committee Chair: Bellissard, Jean; Committee Member: Baker, Matt; Committee Member: Bakhtin, Yuri; Committee Member: Garoufalidis, Stavros; Committee Member: Putnam, Ian
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35

Mascellani, Giovanni. "Fourth-order geometric flows on manifolds with boundary." Doctoral thesis, Scuola Normale Superiore, 2017. http://hdl.handle.net/11384/85715.

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36

Leão, Rafael de Freitas 1979. "Auto-valores do operador de Dirac e do laplaciano de Dobeault." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306021.

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Orientador: Marcos Benevenuto Jardim<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-08T16:20:15Z (GMT). No. of bitstreams: 1 Leao_RafaeldeFreitas_D.pdf: 1758484 bytes, checksum: a1d5ed8e2a4224e43550ff157cc3a680 (MD5) Previous issue date: 2007<br>Resumo: Nesta tese estudamos basicamente como o acoplamento por uma conexão arbitraria influencia o comportamento do espectro do operador de Dirac, real e complexo. Atraves dos resultados classicos da literatura, e destes resultados vemos qu
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37

Feppon, Florian (Florian Jeremy). "Riemannian geometry of matrix manifolds for Lagrangian uncertainty quantification of stochastic fluid flows." Thesis, Massachusetts Institute of Technology, 2017. http://hdl.handle.net/1721.1/111041.

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Thesis: S.M., Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2017.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 119-129).<br>This work focuses on developing theory and methodologies for the analysis of material transport in stochastic fluid flows. In a first part, two dominant classes of techniques for extracting Lagrangian Coherent Structures are reviewed and compared and some improvements are suggested for their pragmatic applications on realistic high-dimensional deterministic ocean velocity fields. In the st
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38

Bizi, Nadir. "Semi-riemannian noncommutative geometry, gauge theory, and the standard model of particle physics." Thesis, Sorbonne université, 2018. http://www.theses.fr/2018SORUS413/document.

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Dans cette thèse, nous nous intéressons à la géométrie non-commutative - aux triplets spectraux en particulier - comme moyen d'unifier gravitation et modèle standard de la physique des particules. Des triplets spectraux permettant une telle unification on déjà été construits dans le cas des variétés riemanniennes. Il s'agit donc ici de généraliser au cas des variétés semi-riemanniennes, et d'appliquer ensuite au cas lorentzien, qui est d'une importance particulière en physique. C'est ce que nous faisons dans la première partie de la thèse, ou le passage du cas riemannien au cas semi-riemannien
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39

Baspinar, Emre <1988&gt. "Minimal Surfaces in Sub-Riemannian Structures and Functional Geometry of the Visual Cortex." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amsdottorato.unibo.it/8661/7/thesis_baspinar_for_submission.pdf.

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We develop geometrical models of vision consistent with the characteristics of the visual cortex and study geometric flows in the relevant model geometries. We provide a novel sub-Riemannian model of the primary visual cortex, which models orientation-frequency selective phase shifted cortex cell behavior and the associated horizontal connectivity. We develop an image enhancement algorithm using sub-Riemannian diffusion and Laplace-Beltrami flow in the model framework. We provide two geometric models for multi-scale orientation map and orientation-frequency preference map construction which e
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40

StClair, Jessica Lindsey. "Geometry of Spaces of Planar Quadrilaterals." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/26887.

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The purpose of this dissertation is to investigate the geometry of spaces of planar quadrilaterals. The topology of moduli spaces of planar quadrilaterals (the set of all distinct planar quadrilaterals with fixed side lengths) has been well-studied [5], [8], [10]. The symplectic geometry of these spaces has been studied by Kapovich and Millson [6], but the Riemannian geometry of these spaces has not been thoroughly examined. We study paths in the moduli space and the pre-moduli space. We compare intraplanar paths between points in the moduli space to extraplanar paths between those same points
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Rupassara, Rupassarage Upul Hemakumara. "Joint exit time and place distribution for Brownian motion on Riemannian manifolds." OpenSIUC, 2019. https://opensiuc.lib.siu.edu/dissertations/1720.

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This dissertation discusses the time and place that Brownian motion on a Riemannian manifold first exit a normal ball of small radius. A general procedure is given for computing asymptotic expansions of joint moments of the first exit time and place random variables as the radius of the geodesic ball decreases to zero. The asymptotic expansion of the joint Laplace transform of exit time and spherical harmonics of exit position is derived for a ball of small radius. A generalized Pizetti’s formula is used to expand the solution of the related partial differential equations. These expansions are
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42

Persson, Nicklas. "Shortest paths and geodesics in metric spaces." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-66732.

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This thesis is divided into three part, the first part concerns metric spaces and specically length spaces where the existence of shortest path between points is the main focus. In the second part, an example of a length space, the Riemannian geometry will be given. Here both a classical approach to Riemannian geometry will be given together with specic results when considered as a metric space. In the third part, the Finsler geometry will be examined both with a classical approach and trying to deal with it as a metric space.
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43

McMahon, Joseph Brian. "Geometry and Mechanics of Growing, Nonlinearly Elastic Plates and Membranes." Diss., The University of Arizona, 2009. http://hdl.handle.net/10150/194028.

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Until the twentieth century, theories of elastic rods and shells arose from collections of geometric and mechanical assumptions and approximations. These theories often lacked internal consistency and were appropriate for highly proscribed and sometimes unknown geometries and deformation sizes. The pioneering work of Truesdell, Antman, and others converted mechanical intuition into rigorous mathematical statements about the physics and mechanics of rods and shells. The result is the modern, geometrically exact theory of finite deformations of rods and shells.In the latter half of the twentieth
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44

Correa, Eder de Moraes 1986. "Geometria diferencial em grupos de Lie." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306249.

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Orientadores: Luiz Antonio Barrera San Martin, Lino Anderson da Silva Grama<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-22T20:52:19Z (GMT). No. of bitstreams: 1 Correa_EderdeMoraes_M.pdf: 988646 bytes, checksum: e062257298f0383537889ee4999dbd31 (MD5) Previous issue date: 2013<br>Resumo: Neste trabalho estudamos os aspectos geométricos dos grupos de Lie do ponto de vista da geometria Riemanniana, geometria Hermitiana e geometria Kähler, através das estruturas geométricas inva
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45

Leijon, Rasmus. "The Einstein Field Equations : on semi-Riemannian manifolds, and the Schwarzschild solution." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-61321.

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Semi-Riemannian manifolds is a subject popular in physics, with applications particularly to modern gravitational theory and electrodynamics. Semi-Riemannian geometry is a branch of differential geometry, similar to Riemannian geometry. In fact, Riemannian geometry is a special case of semi-Riemannian geometry where the scalar product of nonzero vectors is only allowed to be positive. This essay approaches the subject from a mathematical perspective, proving some of the main theorems of semi-Riemannian geometry such as the existence and uniqueness of the covariant derivative of Levi-Civita con
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46

ROITBERG, ALICE. "Gross-Pitaevskii hydrodynamics in Riemannian manifolds and application in Black Hole cosmology." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2023. https://hdl.handle.net/10281/404710.

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In questa tesi ci si propone di analizzare le implicazioni fisiche della geometria dello spazio ambiente nel contesto dei condensati di Bose-Einstein (BEC) e le possibili applicazioni nell’ambito dei modelli analogici della cosmologia dei buchi neri. A tal fine si deriva la formulazione idrodinamica dell'equazione di Gross-Pitaevskii (GPE) nel caso di una generica varietà Riemanniana e si osserva la comparsa di una nuova forza, che dipende essenzialmente da due parametri: la geometria della varietà e le derivate prime del profilo di densità. Si studiano le condizioni stazionarie in relazione a
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47

Cheung, Leung-Fu. "Geometric properties of stable noncompact constant mean curvature surfaces." Bonn : [s.n.], 1991. http://catalog.hathitrust.org/api/volumes/oclc/26531351.html.

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48

Hainz, Stefan. "Eine Riemannsche Betrachtung des Reeb-Flusses." Bonn : Mathematisches Institut der Universität, 2006. http://catalog.hathitrust.org/api/volumes/oclc/173261156.html.

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49

Reach, Andrew McCaleb. "Smooth Interactive Visualization." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/78848.

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Information visualization is a powerful tool for understanding large datasets. However, many commonly-used techniques in information visualization are not C^1 smooth, i.e. when represented as a function, they are either discontinuous or have a discontinuous first derivative. For example, histograms are a non-smooth visualization of density. Not only are histograms non-smooth visually, but they are also non-smooth over their parameter space, as they change abruptly in response to smooth change of bin width or bin offset. For large data visualization, histograms are commonly used in place of
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Zuddas, Daniele. "Branched coverings and 4-manifolds." Doctoral thesis, Scuola Normale Superiore, 2007. http://hdl.handle.net/11384/85677.

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