Relevant bibliographies by topics / Morse functions

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Morse functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Morse functions"

1

Nicolaescu, Liviu I. "Morse functions statistics." Functional Analysis and Other Mathematics 1, no. 1 (2007): 85–91. http://dx.doi.org/10.1007/s11853-007-0006-8.

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Zhou, Jianwei. "Morse functions on Grassmann manifolds." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 135, no. 1 (2005): 209–21. http://dx.doi.org/10.1017/s030821050000384x.

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In this paper we study the Morse functions on Grassmann manifolds. It is shown that many well-known calibrations can be used to construct degenerate Morse functions on Grassmann manifolds. In the study we use Clifford algebras and Lie groups.
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Ju, Xuewei, Ailing Qi, and Jintao Wang. "Strong Morse–Lyapunov functions for Morse decompositions of attractors of random dynamical systems." Stochastics and Dynamics 18, no. 01 (2017): 1850012. http://dx.doi.org/10.1142/s0219493718500120.

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In this paper, we first construct strong Lyapunov functions for random attractors. On this basis, we then establish strong Morse–Lyapunov functions for Morse decompositions of the random attractors. Finally, the stability of the Morse decompositions is studied through the Morse–Lyapunov functions.
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Hladysh, Bohdana, and Alexandr Prishlyak. "Simple Morse Functions on an Oriented Surface with Boundary." Zurnal matematiceskoj fiziki, analiza, geometrii 15, no. 3 (2019): 354–68. http://dx.doi.org/10.15407/mag15.03.354.

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Lazarev, Oleg. "Simplifying Weinstein Morse functions." Geometry & Topology 24, no. 5 (2020): 2603–46. http://dx.doi.org/10.2140/gt.2020.24.2603.

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Sharko, V. V. "Morse functions on cobordisms." Ukrainian Mathematical Journal 63, no. 1 (2011): 146–57. http://dx.doi.org/10.1007/s11253-011-0493-0.

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LUDWIG, URSULA. "AN ANALYTIC APPROACH TO THE STRATIFIED MORSE INEQUALITIES FOR COMPLEX CONES." International Journal of Mathematics 24, no. 12 (2013): 1350100. http://dx.doi.org/10.1142/s0129167x13501000.

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In a previous paper the author extended the Witten deformation to singular spaces with cone-like singularities and to a class of Morse functions called admissible Morse functions. The method applies in particular to complex cones and stratified Morse functions in the sense of the theory developed by Goresky and MacPherson. It is well-known from stratified Morse theory that the singular points of the complex cone contribute to the stratified Morse inequalities in middle degree only. In this paper, an analytic proof of this fact is given.
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Liu, Yuqing, and Nicholas A. Scoville. "The Realization Problem for Discrete Morse Functions on Trees." Algebra Colloquium 27, no. 03 (2020): 455–68. http://dx.doi.org/10.1142/s1005386720000371.

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We introduce a new notion of equivalence of discrete Morse functions on graphs called persistence equivalence. Two functions are considered persistence equivalent if and only if they induce the same persistence diagram. We compare this notion of equivalence to other notions of equivalent discrete Morse functions. Then we compute an upper bound for the number of persistence equivalent discrete Morse functions on a fixed graph and show that this upper bound is sharp in the case where our graph is a tree. This is a version of the “realization problem” of the persistence map. We conclude with an e
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Kirwan, Frances. "Some examples of minimally degenerate Morse functions." Proceedings of the Edinburgh Mathematical Society 30, no. 2 (1987): 289–93. http://dx.doi.org/10.1017/s0013091500028340.

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Let X be a compact Riemannian manifold. If f:X→ℝ is a nondegenerate Morse function in the sense of Bott [2] then one has Morse inequalities which can be expressed in the formwhere Pt(X) is the Poincaré polynomial Σtidim Hi(X;ℚ of X ann {Cβ|β ∈B} are the connected components of the set of critical points for f For any polynomial Q(t)∈ℤ[t] we write Q(t)≧0 if all the coefficients of Q are nonnegative.
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Saeki, Osamu. "Morse functions with sphere fibers." Hiroshima Mathematical Journal 36, no. 1 (2006): 141–70. http://dx.doi.org/10.32917/hmj/1147883401.

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Dissertations / Theses on the topic "Morse functions"

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Lima, Dahisy Valadão de Souza 1986. "Dynamical spectral sequences for Morse-Novikov and Morse-Bott complexes." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307538.

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Orientador: Ketty Abaroa de Rezende<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-25T10:15:50Z (GMT). No. of bitstreams: 1 Lima_DahisyValadaodeSouza_D.pdf: 22146296 bytes, checksum: c88725de657b032422b9e4614ccd91a9 (MD5) Previous issue date: 2014<br>Resumo: O tema principal desta tese é o estudo de fluxos gradientes associados a campos vetoriais $-\nabla f$ em variedades fechadas, onde $f$ é uma função do tipo Morse, Morse circular e Morse-Bott. Para obter informações dinâmicas em c
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Walsh, Mark. "Metrics of positive scalar curvature and generalised Morse functions /." Connect to title online (Scholars' Bank) Connect to title online (ProQuest), 2009. http://hdl.handle.net/1794/10265.

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Walsh, Mark 1976. "Metrics of positive scalar curvature and generalised Morse functions." Thesis, University of Oregon, 2009. http://hdl.handle.net/1794/10265.

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x, 164 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.<br>We study the topology of the space of metrics of positive scalar curvature on a compact manifold. The main tool we use for constructing such metrics is the surgery technique of Gromov and Lawson. We extend this technique to construct families of positive scalar curvature cobordisms and concordances which are parametrised by Morse functions and later, by generalised Morse functions. We then use these results to study concordances of positive scalar
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Lloyd, Gemma. "Morse theory for invariant functions and its application to the n-body problem." Thesis, University of Manchester, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.506273.

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Freitas, Antonio dos Santos de [UNESP]. "Uma abordagem de pontos críticos e as funções de Morse." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/150828.

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Submitted by ANTONIO DOS SANTOS DE FREITAS null (toninhosantosfreitas123@gmail.com) on 2017-06-03T18:53:33Z No. of bitstreams: 1 Dissertaçao de Mestrado Antonio dos Santos de Freitas.pdf: 3789052 bytes, checksum: 877acec1e0f42977ad82b4aada999922 (MD5)<br>Approved for entry into archive by Luiz Galeffi (luizgaleffi@gmail.com) on 2017-06-06T14:47:57Z (GMT) No. of bitstreams: 1 freitas_as_me_rcla.pdf: 3789052 bytes, checksum: 877acec1e0f42977ad82b4aada999922 (MD5)<br>Made available in DSpace on 2017-06-06T14:47:57Z (GMT). No. of bitstreams: 1 freitas_as_me_rcla.pdf: 3789052 bytes, checksum: 8
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Sarmiento, Ingrid Sofia Meza. "Um invariante para sistemas com integral primeira Morse-Bott." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-30112011-102544/.

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Nesta dissertação são investigados os sistemas diferenciais com integral primeira do tipo Morse-Bott definidos em superfícies compactas e orientáveis. A cada sistema, nas condições acima descritas, associa-se um grafo de modo que a correspondência entre os grafos e as classes de equivalência topologica orbital dos campos investigados seja bijetiva. Portanto, apresenta-se um invariante completo, chamado aqui de grafo de Bott, para essa classe de sistemas. Essa abordagem surgiu como uma iniciativa de generalizar o estudo realizado para sistemas Hamiltonianos com um grau de liberdade com integral
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Espiritu, Ledesma Guido Gerson 1985. "Lyapunov graph in the study of Smale flows and Morse-Novikov flows = Grafo de Lyapunov no estudo dos fluxos de Smale e fluxos de Morse-Novikov." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307539.

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Orientador: Ketty Abaroa de Rezende<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-24T17:12:31Z (GMT). No. of bitstreams: 1 EspirituLedesma_GuidoGerson_D.pdf: 1229937 bytes, checksum: 00f2d538b5b2a2c4147d828351f4ef16 (MD5) Previous issue date: 2014<br>Resumo: Neste trabalho, usamos os grafos de Lyapunov como uma ferramenta combinat{\'o}ria para obter classifica\c{c}{\~o}es completas de fluxos Smale sobre $\ss$ e fluxos Morse-Novikov sobre superf{\'i}cies orient{\'a}veis e n{\~a}o ori
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Chen, Xudong. "Multi-Agent Systems with Reciprocal Interaction Laws." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11424.

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In this thesis, we investigate a special class of multi-agent systems, which we call reciprocal multi-agent (RMA) systems. The evolution of agents in a RMA system is governed by interactions between pairs of agents. Each interaction is reciprocal, and the magnitude of attraction/repulsion depends only on distances between agents. We investigate the class of RMA systems from four perspectives, these are two basic properties of the dynamical system, one formula for computing the Morse indices/co-indices of critical formations, and one formation control model as a variation of the class of RMA
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Sarmiento, Ingrid Sofia Meza. "A topologia de folheações e sistemas integráveis Morse-Bott em superfícies." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11012016-112023/.

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Nesta tese estudamos os sistemas integráveis definidos em superfícies compactas possuindo uma integral primeira que é uma função Morse-Bott a valores em R. Estes sistemas são aqui chamados de sistemas integráveis Morse-Bott. Classificamos as curvas fechadas e oitos associados a pontos de selas imersos em superfícies compactas. Essa classificação é aplicada ao estudo das folheações Morse-Bott em superfícies e nos permite definir um invariante topológico completo para a classificação topológica global destas folheações. Como uma aplicação desse estudo obtemos a classificação dos sistemas Morse-B
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Seigneur, Valentin. "Extensions de fonctions d'un voisinage de la sphère à la boule." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSEN082/document.

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Étant donnée une fonction lisse ˜ f définie sur un voisinage de la sphère euclidienne de dimension n dans la boule, peut-on l’étendre en une fonction définie sur la boule bordée par la sphère, de manière à ce que l’extension n’ait aucun point critique ? Cette thèse propose d’étudier cette question, en supposant que la restriction de ˜ f à la sphère, notée f, est Morse. Ce problème a été introduit pour la première fois par Blank et Laudenbach en1970, et a aussi été posé par Arnol’d en 1981. Nous donnons une condition nécessaire d’extension sans points critiques qui s’appuie sur le complexe de M
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Books on the topic "Morse functions"

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Sebastian, Goette, ed. Families torsion and Morse functions. Société mathématique de France, 2001.

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Metrics of positive scalar curvature and generalised Morse functions. American Mathematical Society, 2011.

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Sharko, V. V. Functions on manifolds: Algebraic and topological aspects. American Mathematical Society, 1993.

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James, Deborah. Preverbs and the function of clauses in Moose Cree. Voices of Rupert's Land, 1991.

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Sdvizhkov, Oleg, and Nikolay Macnev. Physics: a workshop in Excel. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1014621.

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In the workshop, the program codes of user-defined VBA Excel functions are presented; it is shown how these functions are used to solve typical problems of elementary physics on a computer. The textbook includes problems in kinematics, dynamics, statics, molecular kinetic theory, thermal phenomena and electrodynamics. &#x0D; Each chapter includes: brief information on physics; code for one or more user functions and their description; step-by-step solutions to typical problems using user functions, illustrated with drawings of dialog boxes, fragments of worksheets, etc., made using screenshots
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MacPherson, Robert, and Mark Goresky. Stratified Morse Theory. Brand: Springer, 2011.

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Holomorphic Morse Inequalities and Bergman Kernels (Progress in Mathematics). Birkhäuser Basel, 2007.

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McDuff, Dusa, and Dietmar Salamon. Generating functions. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198794899.003.0010.

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This chapter discusses generating functions in more detail. It shows how generating functions give rise to discrete-time analogues of the symplectic action functional and hence lead to discrete variational problems. The results of this chapter form the basis for the proofs in Chapter 11 of the Arnold conjecture for the torus and in Chapter 12 of the existence of the Hofer–Zehnder capacity. The final section examines generating functions for exact Lagrangian submanifolds of cotangent bundles.
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Hodges, John R. Localized Cognitive Functions. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780198749189.003.0003.

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This chapter discusses localized cognitive functions. The functions ascribed to the dominant, usually left, cerebral hemisphere show much more clear-cut laterality than those associated with the so-called minor hemisphere. This applies particularly to spoken language. This chapter discusses aspects of normal and abnormal language function in the framework of contemporary cognitive neuroscience with descriptions of the classic post-stroke variants of aphasia (Broca’s, Wernicke’s, conduction, etc.) although these are rarely seen in the context of neurodegenerative diseases. There is also a descr
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Nixon, Patricia A. Pulmonary function. Oxford University Press, 2013. http://dx.doi.org/10.1093/med/9780199232482.003.0006.

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The focus of this chapter is the assessment and interpretation of pulmonary function during exercise in children, with emphasis on the parameters commonly measured in the paediatric setting. The measurements of resting pulmonary function (i.e. lung volumes and expiratory flow rates) are presented to provide the basic foundation for understanding changes that occur with exercise. Some measurements are more relevant to children with cardiopulmonary disorders, and examples of normal and abnormal responses are provided. In some instances, data on children are lacking, so responses of adults are pr
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Book chapters on the topic "Morse functions"

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Nicolaescu, Liviu. "Morse Functions." In An Invitation to Morse Theory. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-1105-5_1.

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Audin, Michèle, and Mihai Damian. "Morse Functions." In Morse Theory and Floer Homology. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-5496-9_1.

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Goresky, Mark, and Robert MacPherson. "Nonproper Morse Functions." In Stratified Morse Theory. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-71714-7_12.

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Banyaga, Augustin, and David Hurtubise. "Morse-Smale Functions." In Kluwer Texts in the Mathematical Sciences. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2696-6_6.

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Goresky, Mark, and Robert MacPherson. "Normal Morse Data of Two Morse Functions." In Stratified Morse Theory. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-71714-7_14.

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Goresky, Mark, and Robert MacPherson. "Relative Morse Theory of Nonproper Functions." In Stratified Morse Theory. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-71714-7_13.

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Goresky, Mark, and Robert MacPherson. "Morse Functions and Nondepraved Critical Points." In Stratified Morse Theory. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-71714-7_4.

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Nicolaescu, Liviu. "The Topology of Morse Functions." In An Invitation to Morse Theory. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-1105-5_2.

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Farber, Michael. "Morse-Bott functions on manifolds with corners." In Mathematical Surveys and Monographs. American Mathematical Society, 2004. http://dx.doi.org/10.1090/surv/108/12.

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Fomenko, Anatolij T., and Tosiyasu L. Kinii. "Computer Examination of Surfaces and Morse Functions." In Topological Modeling for Visualization. Springer Japan, 1997. http://dx.doi.org/10.1007/978-4-431-66956-2_8.

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Conference papers on the topic "Morse functions"

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Nicolaescu, Liviu I. "Morse functions on the 2-sphere." In ALEXANDRU MYLLER MATHEMATICAL SEMINAR CENTENNIAL CONFERENCE. AIP, 2011. http://dx.doi.org/10.1063/1.3546086.

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Aouada, Djamila, and Hamid Krim. "Meaningful 3D shape partitioning using Morse functions." In 2009 16th IEEE International Conference on Image Processing ICIP 2009. IEEE, 2009. http://dx.doi.org/10.1109/icip.2009.5414431.

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Gay, David, and Robion Kirby. "Reconstructing 4–manifolds from Morse 2–functions." In Low-dimensional manifolds and high-dimensional categories -- A conference in honor of Michael Hartley Freedman. Mathematical Sciences Publishers, 2012. http://dx.doi.org/10.2140/gtm.2012.18.103.

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Shepelev, Igor A., Elena A. Korznikova, Pavel V. Zakharov, and Sergey V. Dmitriev. "Energy exchange of a M-soliton cluster in a 2D Morse lattice." In Saratov Fall Meeting 2019: Computations and Data Analysis: from Nanoscale Tools to Brain Functions, edited by Dmitry E. Postnov. SPIE, 2020. http://dx.doi.org/10.1117/12.2565759.

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Ni, Xinlai, Michael Garland, and John C. Hart. "Fair morse functions for extracting the topological structure of a surface mesh." In ACM SIGGRAPH 2004 Papers. ACM Press, 2004. http://dx.doi.org/10.1145/1186562.1015769.

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Hilberg, W., V. F. Kravchenko, O. V. Kravchenko, and Y. Y. Konovalov. "Atomic functions and generalized Thue-Morse sequence in digital signal and image processing." In 2013 International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW). IEEE, 2013. http://dx.doi.org/10.1109/msmw.2013.6621989.

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Tsuzuki, Takayuki, Kousuke Kuwada, and Yuh Yamashita. "Searching for control Lyapunov-Morse functions using genetic programming for global asymptotic stabilization of nonlinear systems." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.377681.

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Yang, Pinghai, Kang Li, and Xiaoping Qian. "Topologically Enhanced Slicing of MLS Surfaces." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29125.

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Growing use of massive scan data in various engineering applications has necessitated research on point-set surfaces. A point-set surface is a continuous surface defined directly with a set of discrete points. This paper presents a new approach that extends our earlier work on slicing point-set surfaces into planar contours for rapid prototyping usage. This extended approach can decompose a point-set surface into slices with guaranteed topology. Such topological guarantee stems from the use of Morse theory based topological analysis of the slicing operation. The Morse function for slicing is a
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Hosseini, Seyed Vahid, and Mehrdad Vahdati. "Investigation of Frictional Resistance in Nanometric Cutting by Molecular Dynamic Simulation." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24176.

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Recently, the development of machine tools and sub-micron positioning control systems has brought the minimum thickness of ultra-precision cutting to less than 1 nm. The conventional continuum based method (FEM) becomes impossible to use for numerical analysis. As an alternative method, molecular dynamics (MD) method is significantly implemented in the field of nano-machining to investigate cutting mechanism. In this paper, firstly, molecular dynamics simulations of the nanometric cutting of single-crystal copper were performed applying a pin tool. The model was solved with both Morse and Embe
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Telitchev, Igor Ye, and Oleg Vinogradov. "Computational Analysis of Hydrogen Contribution to the Near-Neutral pH Stress Corrosion Cracking." In 2008 7th International Pipeline Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/ipc2008-64329.

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Hydrogen plays a critical role in near-neutral pH SCC in pipelines, but the precise mechanism of its effect on crack initiation and propagation is still not well understood. Fundamentally, the process starts on the atomic level and at the root is dislocation formation and propagation due to various factors. In the present study a molecular statics simulation has been applied for the analysis of the contribution of hydrogen to the near-neutral pH stress corrosion cracking. A 3D crystal structure in which the interatomic forces between the hydrogen-iron and iron-iron atoms were defined, respecti
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Reports on the topic "Morse functions"

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Lundell, Travis G. Neurogenin1 Expression and Function in the Developing Mouse Cerebellum. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ad1013358.

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Lo, Gane Samb. How to use the functional empirical process for deriving asymptotic laws for functions of the sample. Arxiv, 2016. http://dx.doi.org/10.16929/hs/imhotep.2016.x.001.

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The functional empirical process is a very powerful tool for deriving asymptotic laws for almost any kind of statistics whenever we know how to express them into functions of the sample. Since this method seems to be applied more and more in the very recent future, this paper is intended to provide a complete but short description and justification of the method and to illustrate it with a non-trivial example using bivariate data. It may also serve for citation without repeating the arguments
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Chinnam, Meenalakshmi. Functional Interaction Between Rb and Thoc1 in Mouse Prostate Tumorigenesis. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada534931.

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Chinnam, Meenalakshmi. Functional Interaction between Rb and Thoc1 in Mouse Prostate Tumorigenesis. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada548020.

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Best, Tyler K. Disruption of Inhibitory Function in the Ts65Dn Mouse Hippocampus Through Overexpression of GIRK2. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ad1013852.

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Fukatani, Juichi, and Jiro Miyai. Functional Automotive Glazing~Multi-Layer Technology for Noise Reduction and More. SAE International, 2005. http://dx.doi.org/10.4271/2005-08-0325.

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Bass, Bernard M., and Bruce J. Avolio. Platoon Readiness as a Function of Transformational/Transactional Leadership, Squad Mores, and Platoon Cultures. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada364116.

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Behbod, Fariba. Laser Raman Tweezer Spectroscopy for the Molecular and Functional Characterization of Single Live Mouse Mammary Tumor-Initiating Cells. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada562457.

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McClatchey, Andrea I. Utilization of a NF2-Mutant Mouse Strain to Investigate the Cellular and Molecular Function of the NF2 Tumor Suppressor, Merlin. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada399194.

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McClatchey, Andrea I. Utilization of a Nf2-Mutant Mouse strain to Investigate the Cellular and Molecular Function of the NF2 Tumor Suppressor, Merlin. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada412822.

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