Relevant bibliographies by topics / Generalized cusps

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Generalized cusps'

Author: Grafiati
Published: 16 November 2024

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Journal articles on the topic "Generalized cusps"

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Cervantes, Aldrin, and Miguel A. García-Aspeitia. "Predicting cusps or kinks in Nambu–Goto dynamics." Modern Physics Letters A 30, no. 39 (2015): 1550210. http://dx.doi.org/10.1142/s0217732315502107.

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It is known that Nambu–Goto extended objects present some pathological structures, such as cusps and kinks, during their evolution. In this paper, we propose a model through the generalized Raychaudhuri (Rh) equation for membranes to determine if there are cusps and kinks in the worldsheet. We extend the generalized Rh equation for membranes to allow the study of the effect of higher order curvature terms in the action on the issue of cusps and kinks, using it as a tool for determining when a Nambu–Goto string generates cusps or kinks in its evolution. Furthermore, we present three examples wh
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Acosta, Gabriel, and Ignacio Ojea. "Korn's inequalities for generalized external cusps." Mathematical Methods in the Applied Sciences 39, no. 17 (2014): 4935–50. http://dx.doi.org/10.1002/mma.3170.

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Ballas, Samuel A., Daryl Cooper, and Arielle Leitner. "Generalized cusps in real projective manifolds: classification." Journal of Topology 13, no. 4 (2020): 1455–96. http://dx.doi.org/10.1112/topo.12161.

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Ballas, Samuel, Daryl Cooper, and Arielle Leitner. "The moduli space of marked generalized cusps in real projective manifolds." Conformal Geometry and Dynamics of the American Mathematical Society 26, no. 7 (2022): 111–64. http://dx.doi.org/10.1090/ecgd/367.

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ln this paper, a generalized cusp is a properly convex manifold with strictly convex boundary that is diffeomorphic to M × [ 0 , ∞ ) M\times [0,\infty ) where M M is a closed Euclidean manifold. These are classified by Ballas, Cooper, and Leitner [J. Topol. 13 (2020), pp. 1455-1496]. The marked moduli space is homeomorphic to a subspace of the space of conjugacy classes of representations of π 1 M \pi _1M . It has one description as a generalization of a trace-variety, and another description involving weight data that is similar to that used to describe semi-simple Lie groups. It is also a bu
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OGATA, Shoetsu. "Generalized Hirzebruch's conjecture for Hilbert-Picard modular cusps." Japanese journal of mathematics. New series 22, no. 2 (1996): 385–410. http://dx.doi.org/10.4099/math1924.22.385.

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Ponce, Jean, and David Chelberg. "Finding the limbs and cusps of generalized cylinders." International Journal of Computer Vision 1, no. 3 (1988): 195–210. http://dx.doi.org/10.1007/bf00127820.

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Jordan, Bruce W., Kenneth A. Ribet, and Anthony J. Scholl. "Modular curves and Néron models of generalized Jacobians." Compositio Mathematica 160, no. 5 (2024): 945–81. http://dx.doi.org/10.1112/s0010437x23007662.

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Let $X$ be a smooth geometrically connected projective curve over the field of fractions of a discrete valuation ring $R$ , and $\mathfrak {m}$ a modulus on $X$ , given by a closed subscheme of $X$ which is geometrically reduced. The generalized Jacobian $J_\mathfrak {m}$ of $X$ with respect to $\mathfrak {m}$ is then an extension of the Jacobian of $X$ by a torus. We describe its Néron model, together with the character and component groups of the special fibre, in terms of a regular model of $X$ over $R$ . This generalizes Raynaud's well-known description for the usual Jacobian. We also give
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McREYNOLDS, D. B. "Cusps of Hilbert modular varieties." Mathematical Proceedings of the Cambridge Philosophical Society 144, no. 3 (2008): 749–59. http://dx.doi.org/10.1017/s0305004107001004.

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AbstractMotivated by a question of Hirzebruch on the possible topological types of cusp cross-sections of Hilbert modular varieties, we give a necessary and sufficient condition for a manifoldMto be diffeomorphic to a cusp cross-section of a Hilbert modular variety. Specialized to Hilbert modular surfaces, this proves that every Sol 3–manifold is diffeo morphic to a cusp cross-section of a (generalized) Hilbert modular surface. We also deduce an obstruction to geometric bounding in this setting. Consequently, there exist Sol 3–manifolds that cannot arise as a cusp cross-section of a 1–cusped n
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De los Ríos, Patricio, Laksmanan Kanagu, Chokkalingam Lathasumathi, and Chelladurai Stella. "Radular morphology by using SEM in Pugilina cochlidium (Gastropoda: Melongenidae) populations, from Thondi coast-Palk Bay in Tamil Nadu-South East coast of India." Brazilian Journal of Biology 80, no. 4 (2020): 783–89. http://dx.doi.org/10.1590/1519-6984.220076.

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Abstract Radula in all melongeninae species is rather uniform and characterized by bicuspid lateral teeth with strongly curved cusps and sub rectangular rachidians, bearing usually 3 cusps. The aim of the present study was to describe the radula of 2 Pugilina cochlidium populations using SEM. The radula in 2 species proves itself as a rachiglossate type showing the radular formula of 1 + R + 1. The first population hasthe central tooth wide with sharp cusps equal in length, emanate from posterior margin of tooth base. The lateral teeth have 2 cusps and are long, sharp, pointed and bent towards
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BRUINIER, JAN HENDRIK, and MARKUS SCHWAGENSCHEIDT. "A CONVERSE THEOREM FOR BORCHERDS PRODUCTS ON." Nagoya Mathematical Journal 240 (March 1, 2019): 237–56. http://dx.doi.org/10.1017/nmj.2019.3.

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We show that every Fricke-invariant meromorphic modular form for $\unicode[STIX]{x1D6E4}_{0}(N)$ whose divisor on $X_{0}(N)$ is defined over $\mathbb{Q}$ and supported on Heegner divisors and the cusps is a generalized Borcherds product associated to a harmonic Maass form of weight $1/2$. Further, we derive a criterion for the finiteness of the multiplier systems of generalized Borcherds products in terms of the vanishing of the central derivatives of $L$-functions of certain weight $2$ newforms. We also prove similar results for twisted Borcherds products.
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Dissertations / Theses on the topic "Generalized cusps"

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Vaillant, Boris. "Index- and spectral theory for manifolds with generalized fibred cusps." Bonn : Mathematisches Institut der Universität, 2001. http://catalog.hathitrust.org/api/volumes/oclc/51691852.html.

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Roidos, Nikolaos. "Spectral theory of the Laplace operator on manifolds with generalized cusps." Thesis, Loughborough University, 2010. https://dspace.lboro.ac.uk/2134/6054.

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In this thesis we study the Laplace operator Δ acting on p-forms, defined on an n dimensional manifold with generalized cusps. Such a manifold consists of a compact piece and a noncompact one. The noncompact piece is isometric to the generalized cusp. A generalized cusp [1,∞) x N is an n dimensional noncompact manifold equipped with the warped product metric dx{2}+x{-2a}h, where N is a compact oriented manifold, h is a metric on N and a > 0 is a fixed constant. First we regard the cusp separately, where by using separation of variables we determine the spectral properties of the Laplacian and
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Fléchelles, Balthazar. "Geometric finiteness in convex projective geometry." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM029.

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Cette thèse est consacrée à l’étude des orbivariétés projectives convexes géométriquement finies, et fait suite aux travaux de Ballas, Cooper, Crampon, Leitner, Long, Marquis et Tillmann sur le sujet. Une orbivariété projective convexe est le quotient d’un ouvert convexe et borné d’une carte affine de l’espace projectif réel (appelé aussi ouvert proprement convexe) par un groupe discret de transformations projectives préservant cet ouvert. S’il n’y a pas de segment dans le bord du convexe, on dit que l’orbivariété est strictement convexe, et si de plus il y a un unique hyperplan de support en cha
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Scholz, Markus. "Über das Verhalten von Kapillarflächen in Spitzen." Doctoral thesis, Universitätsbibliothek Leipzig, 2004. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-37249.

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Grundlage der vorliegenden Arbeit sind mathematische Aspekte des Kapillarflächenproblems. Die Arbeit ist in zwei Teile gegliedert. Im ersten Teil werden existierende glatte Lösungen des klassischen Kapillarflächenproblems betrachtet. Diese sind unbeschränkt, wenn das Definitionsgebiet Spitzen enthält. Es wird eine Vielzahl von asymptotischen Formeln hergeleitet. Der zweite Teil der Arbeit beschäftigt sich mit verallgemeinerten Lösungen des allgemeinen Kapillar- flächenproblems. Es wird die Existenz dieser Lösungen unter sehr schwachen Voraussetzungen bewiesen. Für konstante Gravitationspotenti
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TOCCHET, MICHELE. "Generalized Mom-structures and volume estimates for hyperbolic 3-manifolds with geodesic boundary and toric cusps." Doctoral thesis, 2012. http://hdl.handle.net/11573/918614.

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We find out how to maximize the volume covered by disjoint cusp neighborhoods and boundary collars inside a hyperbolic 3-manifold with both geodesic boundary and toric cusps. We generalize Mom-structures to 3-manifolds with boundary components of higher genus and study their relations with triangulations.
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Scholz, Markus. "Über das Verhalten von Kapillarflächen in Spitzen." 2002. https://ul.qucosa.de/id/qucosa%3A10947.

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Grundlage der vorliegenden Arbeit sind mathematische Aspekte des Kapillarflächenproblems. Die Arbeit ist in zwei Teile gegliedert. Im ersten Teil werden existierende glatte Lösungen des klassischen Kapillarflächenproblems betrachtet. Diese sind unbeschränkt, wenn das Definitionsgebiet Spitzen enthält. Es wird eine Vielzahl von asymptotischen Formeln hergeleitet. Der zweite Teil der Arbeit beschäftigt sich mit verallgemeinerten Lösungen des allgemeinen Kapillar- flächenproblems. Es wird die Existenz dieser Lösungen unter sehr schwachen Voraussetzungen bewiesen. Für konstante Gravitationspotenti
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Book chapters on the topic "Generalized cusps"

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"Epilogue." In Computational Aspects of Modular Forms and Galois Representations, edited by Bas Edixhoven and Jean-Marc Couveignes. Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691142012.003.0016.

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This epilogue describes some work on generalizations and applications, as well as a direction of further research outside the context of modular forms. Theorems 14.1.1 and 15.2.1 will certainly be generalized to spaces of cusp forms of arbitrarily varying level and weight. This has already been done for the probabilistic variant of Theorem 14.1.1, in the case of square-free levels (and of level two times a square-free number). Some details and some applications of Bruin's work, as well as a perspective on point counting outside the context of modular forms are described. Deterministic generalizations of the two theorems mentioned above will lead to deterministic applications.
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Pederiva, F., C. J. Umrigar, and E. Lipparini. "Diffusion Monte Carlo study of circular quantum dots." In Quantum Monte Carlo. Oxford University PressNew York, NY, 2007. http://dx.doi.org/10.1093/oso/9780195310108.003.00131.

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Abstract Several QMC calculations had earlier treated quantum dots of various shapes and sizes by either variational or diffusion methods. This study extended much farther, with ground and low-lying excited states for circular two-dimensional dots with 2 to 13 electrons. The method was fixed-node diffusion QMC with importance sampling. Comparisons were made with Hartree-Fock and density functional calculations at the LSDA level. The system treated was a standard circular quantum dot with N electrons confined in two dimensions by a parabolic potential V = ½kr2 centered at the origin. The masses, dielectric constants, and the potential energy constants were specified as those for a GaAs crystal. Atomic units were replaced by effective atomic units. Anti-symmetry rules were the same as for atomic systems. Trial functions were expressed for each case as sums of one to five Slater determinants from density functional calculations, along with elaborate generalized Jastrow functions. The coefficients required for satisfying cusp conditions were different from those usually found for three-dimensional problems. A total of 23 cases with different numbers of electrons and L, S eigenstates were treated. The first version of the paper contained a few errors. Corrected results (also with lower uncertainties) were reported in a second version.0 In all cases the diffusion QMC energies were lower than the variational QMC energies, which were in turn lower than the HF energies. Fixed-node error was expected to be small. The differences from LSDA density functional energies were small but not negligible.
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Conference papers on the topic "Generalized cusps"

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Langley, Dean S., and Philip L. Marston. "Generalized tertiary rainbow of slightly oblate drops: observations with laser illumination." In Light and Color in the Open Air. Optica Publishing Group, 1997. http://dx.doi.org/10.1364/lcoa.1997.lmb.3.

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Oblateness in drops has been shown to produce caustics in the farfield scattering that are more complicated than the ordinary rainbow [1-7]. The complicated caustics generated are examples of "diffraction catastrophes" involving the coalescence of more than the two rays present for the usual Airy caustic [8,9]. Such diffraction catastrophes produced by scattering from oblate drops of water have been referred to as "generalized rainbows" [2,7]. While the analysis of such caustics is relevant to understanding complexity in wave propagation [8-11]. consideration of the scattering by oblate drops
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Lan, Chao-Chieh, and Yung-Jen Cheng. "Distributed Shape Optimization of Compliant Mechanisms Using Intrinsic Functions." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34191.

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A compliant mechanism transmits motion and force by deformation of its flexible members. It has no relative moving parts and thus involves no wear, lubrication, noise, and backlash. Compliant mechanisms aims to maximize flexibility while maintaining sufficient stiffness so that satisfactory output motion can be achieved. When designing compliant mechanisms, the resulting shapes sometimes lead to rigid-body type linkages where compliance and rotation is lumped at a few flexural pivots. These flexural pivots are prone to stress concentration and thus limit compliant mechanisms to applications th
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Dean, Cleon E., and Philip L. Marston. "The Opening Rate of the Transverse Cusp Diffraction Catastrophe from Oblate Spheroidal Water Drops." In Light and Color in the Open Air. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/lcoa.1990.wb2.

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Simpson, Harry J., and Philip L. Marston. "Scattering of White Light from Oblate Water Drops Near Rainbows and Other Diffraction Catastrophes." In Light and Color in the Open Air. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/lcoa.1990.wb5.

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Marston, Philip L., and Gregory Kaduchak. "Secondary and Higher-Order Generalized Rainbows and Unfolded Glories of Oblate Drops: Analysis and Laboratory Observations." In Light and Color in the Open Air. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/lcoa.1993.wb.4.

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Previous laboratory observations with laser1-3 and white light4 illumination of oblate drops of water have shown that the primary rainbow becomes distorted and an additional caustic, having the form of a transverse cusp, can be produced when the drop's aspect ratio is sufficiently large.
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Yuan, Jian-Min, and Mingwhei Tung. "Dissipative quantum and classical dynamics: driven molecular vibration." In International Laser Science Conference. Optica Publishing Group, 1986. http://dx.doi.org/10.1364/ils.1986.thb4.

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We study quantum mechanical behavior of a Morse oscillator coupled to a bath of harmonic oscillators and driven by an infrared laser. The purpose is to compare quantum behavior of such a system with the classical and semiclassical solutions of a driven damped Morse oscillator. The general picture coming out of classical and semiclassical studies is that the total energy of the Morse oscillator in steady states or steady oscillations show jump and hysteretic behavior, as expected in a cusp catastrophe, when laser intensity or frequency is varied. Along with the bistable behavior we have also fo
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Hyams, Daniel G., and James H. Leylek. "A Detailed Analysis of Film Cooling Physics: Part III — Streamwise Injection With Shaped Holes." In ASME 1997 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/97-gt-271.

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The physics of the film cooling process for shaped, streamwise-injected, inclined jets is studied for blowing ratio (M = 1.25, 1.88), density ratio (DR = 1.6), and length-to-diameter ratio (L/D = 4) parameters typical of gas turbine operations. A previously documented computational methodology is applied for the study of five distinct film cooling configurations: (1) cylindrical film hole (reference case); (2) forward-diffused film hole; (3) laterally-diffused film hole; (4) inlet shaped film hole, and (5) cusp-shaped film hole. The effects of various film hole geometries on both flow and ther
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