Relevant bibliographies by topics / Spectral Sequences (Mathematics)

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

Academic literature on the topic 'Spectral Sequences (Mathematics)'

Author: Grafiati
Published: 4 June 2021
Last updated: 30 July 2024

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Journal articles on the topic "Spectral Sequences (Mathematics)"

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Liu, Youming, and Yuesheng Xu. "Piecewise linear spectral sequences." Proceedings of the American Mathematical Society 133, no. 8 (March 21, 2005): 2297–308. http://dx.doi.org/10.1090/s0002-9939-05-08067-6.

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Culver, Dominic Leon, Hana Jia Kong, and J. D. Quigley. "Algebraic slice spectral sequences." Documenta Mathematica 26 (2021): 1085–119. http://dx.doi.org/10.4171/dm/836.

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Romero, A., J. Rubio, and F. Sergeraert. "Computing spectral sequences." Journal of Symbolic Computation 41, no. 10 (October 2006): 1059–79. http://dx.doi.org/10.1016/j.jsc.2006.06.002.

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Turner, James M. "Operations and Spectral Sequences. I." Transactions of the American Mathematical Society 350, no. 9 (1998): 3815–35. http://dx.doi.org/10.1090/s0002-9947-98-02254-5.

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CORNEA, O., K. A. DE REZENDE, and M. R. DA SILVEIRA. "Spectral sequences in Conley’s theory." Ergodic Theory and Dynamical Systems 30, no. 4 (October 13, 2009): 1009–54. http://dx.doi.org/10.1017/s0143385709000479.

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AbstractIn this paper, we analyse the dynamics encoded in the spectral sequence (Er,dr) associated with certain Conley theory connection maps in the presence of an ‘action’ type filtration. More specifically, we present an algorithm for finding a chain complex C and its differential; the method uses a connection matrix Δ to provide a system that spans Er in terms of the original basis of C and to identify all of the differentials drp:Erp→Erp−r. In exploring the dynamical implications of a non-zero differential, we prove the existence of a path that joins the singularities generating E0p and E0p−r in the case where a direct connection by a flow line does not exist. This path is made up of juxtaposed orbits of the flow and of the reverse flow, and proves to be important in some applications.
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Kapranov, Mikhail, and Evangelos Routis. "Complete complexes and spectral sequences." Pure and Applied Mathematics Quarterly 13, no. 2 (2017): 215–46. http://dx.doi.org/10.4310/pamq.2017.v13.n2.a2.

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Coons, Michael, James Evans, and Neil Mañibo. "Spectral theory of regular sequences." Documenta Mathematica 27 (2022): 629–53. http://dx.doi.org/10.4171/dm/880.

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Fujisawa, Taro. "Degeneration of weight spectral sequences." manuscripta mathematica 108, no. 1 (May 1, 2002): 91–121. http://dx.doi.org/10.1007/s002290200256.

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Bousfield, A. K. "Homotopy spectral sequences and obstructions." Israel Journal of Mathematics 66, no. 1-3 (December 1989): 54–104. http://dx.doi.org/10.1007/bf02765886.

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Livernet, Muriel, and Sarah Whitehouse. "Homotopy theory of spectral sequences." Homology, Homotopy and Applications 26, no. 1 (2024): 69–86. http://dx.doi.org/10.4310/hha.2024.v26.n1.a5.

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Dissertations / Theses on the topic "Spectral Sequences (Mathematics)"

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Faulkner, Sean (Sean Anthony) Carleton University Dissertation Engineering Electrical. "Composite sequences for rapid acquisition of direct-sequence spread spectrum signals." Ottawa, 1992.

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Gong, Sherry Ph D. Massachusetts Institute of Technology. "Results on spectral sequences for monopole and singular instanton Floer homologies." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/117864.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 107-108).
We study two gauge-theoretic Floer homologies associated to links, the singular instanton Floer homology introduced in [15] and the monopole Floer homology, which is explained in the book [16]. For both cases, we study in particular the spectral sequence that relates the Floer homologies to the Khovanov homologies of links. In our study of singular instanton Floer homology, we introduce a version of Khovanov homology for alternating links with marking data, W, inspired by singular instanton theory. We show that the analogue of the spectral sequence from Khovanov homology to singular instanton homology introduced in [15] for this marked Khovanov homology collapses on the E2 page for alternating links. We moreover show that for non-split links the Khovanov homology we introduce for alternating links does not depend on w; thus, the instanton homology also does not depend on W for non-split alternating links. We study a version of binary dihedral representations for links with markings, and show that for links of non-zero determinant, this also does not depend on w. In our study of monopole Floer homology, we construct families of metrics on the cobordisms that are used to construct differentials in the spectral sequence relating the Khovanov homology of a link to the monopole Floer homology of its double branched cover, such that each metric has positive scalar curvature. This allows us to conclude that the Seiberg-Witten equations for these families of metrics have no irreducible solutions, so the differentials in the spectral sequence can be computed from counting only the reducible solutions.
by Sherry Gong.
Ph. D.
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Garfield, Peter McKee. "The bigraded Rumin complex /." Thesis, Connect to this title online; UW restricted, 2001. http://hdl.handle.net/1773/5785.

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Kronholm, William C. "The RO(G)-graded Serre spectral sequence /." Connect to title online (Scholars' Bank) Connect to title online (ProQuest), 2008. http://hdl.handle.net/1794/8284.

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Thesis (Ph. D.)--University of Oregon, 2008.
Typescript. Includes vita and abstract. Includes bibliographical references (leaves 71-72). Also available online in Scholars' Bank; and in ProQuest, free to University of Oregon users.
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Nave, Lee Stewart. "The cohomology of finite subgroups of Morava stabilizer groups and Smith-Toda complexes /." Thesis, Connect to this title online; UW restricted, 1999. http://hdl.handle.net/1773/5803.

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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
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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
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 cada caso, utilizamos ferramentas algébricas e topológicas, tais como sequências espectrais e matrizes de conexão. No contexto de Morse, consideramos um complexo de cadeias $(C,\Delta)$ gerado pelos pontos críticos de $f$ onde $\Delta$ conta (com sinal) o número de linhas do fluxo entre dois pontos críticos consecutivos. Uma análise via sequências espectrais $(E^{r},d^{r})$ é feita para se obter resultados de continuação global em superfícies. Nós relacionamos as diferenciais da $r$-ésima página de $(E^{r},d^{r})$ com cancelamentos dinâmicos entre pontos críticos. No caso de função de Morse circular $f:M \rightarrow S^{1}$, o método da varredura para um complexo de Novikov $(\mathcal{N},\Delta)$ associado $f$ e gerado pelos pontos críticos de $f$ é definido sobre o anel $\mathbb{Z}((t))$. Este método produz a cada etapa matrizes de Novikov. Provamos que a matriz final produzida pelo método da varredura tem entradas polinomiais, o que é surpreendente, já que as matrizes intermediárias podem ter séries infinitas como entradas. Apresentamos resultados que mostram que os módulos e diferenciais de uma sequência espectral associada a $(\mathcal{N},\Delta)$ podem ser recuperados através do método da varredura. Para fluxos gradientes associados a funções de Morse-Bott, as singularidades formam variedades críticas. Usamos a teoria do índice de Conley para obter uma caracterização do conjunto de matrizes de conexão para fluxos Morse-Bott. Obtemos resultados sobre o efeito no conjunto de matrizes de conexão causado por mudanças na ordem parcial e na decomposição de Morse de um conjunto invariante isolado
Abstract: The main theme in this thesis is the study of gradient flows associated to a vector field $-\nabla f$ on closed manifolds, where $f$ is either a Morse function, a circle-valued Morse function or a Morse-Bott function. In order to obtain dynamical information, we make use of algebraic and topological tools such as spectral sequences and connection matrices. In the Morse context, consider a chain complex $(C,\Delta)$ generated by the critical points of $f$, where $\Delta$ counts the number of flow lines between consecutive critical points with signs. A spectral sequence $(E^{r},d^{r})$ analysis is used to obtain results on global continuation of flows on surfaces. A link is established between the differentials on the $r$-th page of $(E^{r},d^{r})$ and cancellation of critical points. In the circle-valued Morse case $f:M \rightarrow S^{1}$, a sweeping algorithm for the Novikov chain complex $(\mathcal{N},\Delta)$ associated to $f$ and generated by the critical points of $f$ is defined over the ring $\mathbb{Z}((t))$. This algorithm produces at each stage Novikov matrices. We prove that the last Novikov matrix has polynomial entries which is quite surprising since the matrices in the intermediary stages may have infinite series entries. We also present results showing that the modules and differentials of the spectral sequence associated to $(\mathcal{N},\Delta)$ can be retrieved through the sweeping algorithm. For gradient flows associated to Morse-Bott functions, the singularities form critical manifolds. We use the Conley index theory for the critical manifolds in order to characterize the set of connection matrices for Morse-Bott flows. Results are obtained on the effects on the set of connection matrices caused by a change in the partial ordering and Morse decomposition of isolated invariant sets
Doutorado
Matematica
Doutora em Matemática
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Hollander, Michael Israel. "Linear numeration systems, finite beta expansions, and discrete spectrum of substitution dynamical systems /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/5747.

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Savinien, Jean P. X. "Cohomology and K-theory of aperiodic tilings." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/24732.

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Thesis (Ph.D.)--Mathematics, Georgia Institute of Technology, 2008.
Committee Chair: Prof. Jean Bellissard; Committee Member: Prof. Claude Schochet; Committee Member: Prof. Michael Loss; Committee Member: Prof. Stavros Garoufalidis; Committee Member: Prof. Thang Le.
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Giusti, Chad David 1978. "Plumbers' knots and unstable Vassiliev theory." Thesis, University of Oregon, 2010. http://hdl.handle.net/1794/10869.

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viii, 57 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.
We introduce a new finite-complexity knot theory, the theory of plumbers' knots, as a model for classical knot theory. The spaces of plumbers' curves admit a combinatorial cell structure, which we exploit to algorithmically solve the classification problem for plumbers' knots of a fixed complexity. We describe cellular subdivision maps on the spaces of plumbers' curves which consistently make the spaces of plumbers' knots and their discriminants into directed systems. In this context, we revisit the construction of the Vassiliev spectral sequence. We construct homotopical resolutions of the discriminants of the spaces of plumbers knots and describe how their cell structures lift to these resolutions. Next, we introduce an inverse system of unstable Vassiliev spectral sequences whose limit includes, on its E ∞ - page, the classical finite-type invariants. Finally, we extend the definition of the Vassiliev derivative to all singularity types of plumbers' curves and use it to construct canonical chain representatives of the resolution of the Alexander dual for any invariant of plumbers' knots.
Committee in charge: Dev Sinha, Chairperson, Mathematics; Hal Sadofsky, Member, Mathematics; Arkady Berenstein, Member, Mathematics; Daniel Dugger, Member, Mathematics; Andrzej Proskurowski, Outside Member, Computer & Information Science
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Anderson, Curtis James. "Estimating the Optimal Extrapolation Parameter for Extrapolated Iterative Methods When Solving Sequences of Linear Systems." University of Akron / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=akron1383826559.

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Books on the topic "Spectral Sequences (Mathematics)"

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Vershinin, V. V. Cobordisms and spectral sequences. Providence, R.I: American Mathematical Society, 1993.

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Hurd, Harry L. Periodically correlated random sequences: Spectral theory and practice. Hoboken, NJ: Wiley-Interscience, 2007.

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Jorgenson, Jay. Basic analysis of regularized series and products. Berlin: Springer-Verlag, 1993.

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Petrović, Mihailo. Matematićki spektri. Beograd: Zavod za udžbenike i nastavna sredstva, 1998.

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Hurd, Harry L. Periodically correlated random sequences: Spectral theory and practice. Hoboken, N.J: John Wiley, 2007.

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Barnes, D. W. Spectral sequence constructors in algebra and topology. Providence, R.I., USA: American Mathematical Society, 1985.

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Dula, Giora. Diagram cohomology and isovariant homotopy theory. Providence, R.I: American Mathematical Society, 1994.

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Aisbett, Janet E. On K[subscript *](Z/n) and K[subscript *](F[subscript q][t]/(t[superscript 2)). Providence, R.I: American Mathematical Society, 1985.

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Zhuravlev, P. V. Spektroradiometricheskie pribory distant︠s︡ionnogo zondirovanii︠a︡ na osnove preobrazovanii︠a︡ Adamara. Novosibirsk: Konstruktorsko-tekhnologicheskiĭ institut prikladnoĭ mikroėlektroniki SO RAN, 2003.

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1938-, Mimura M., and Nishimoto Tetsu 1969-, eds. Twisted tensor products related to the cohomology of the classifying spaces of loop groups. Providence, RI: American Mathematical Society, 2006.

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Book chapters on the topic "Spectral Sequences (Mathematics)"

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Penner, Robert. "Spectral Sequences." In Lecture Notes in Mathematics, 113–18. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43996-5_22.

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Félix, Yves, Stephen Halperin, and Jean-Claude Thomas. "Spectral sequences." In Graduate Texts in Mathematics, 260–67. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0105-9_19.

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Cox, David, John Little, and Henry Schenck. "Spectral sequences." In Graduate Studies in Mathematics, 811–16. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/124/18.

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Penner, Robert. "Spectral Sequences Continued." In Lecture Notes in Mathematics, 119–24. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43996-5_23.

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Penner, Robert. "Hyper-Homology Spectral Sequences." In Lecture Notes in Mathematics, 125–30. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43996-5_24.

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Mardešić, Sibe. "Spectral sequences. Abelian groups." In Springer Monographs in Mathematics, 405–38. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-13064-3_21.

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Eckmann, Beno. "Composition Functors and Spectral Sequences." In Springer Collected Works in Mathematics, 486–520. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-37339-8_40.

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Boix, Alberto F. "On Some Local Cohomology Spectral Sequences." In Trends in Mathematics, 21–26. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45441-2_4.

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Fomenko, Anatoly, and Dmitry Fuchs. "Chapter 3: Spectral Sequences of Fibrations." In Graduate Texts in Mathematics, 305–87. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-23488-5_3.

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Garoni, Carlo, and Stefano Serra-Capizzano. "Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Discretized Differential Equations." In Lecture Notes in Mathematics, 161–236. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94911-6_3.

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Conference papers on the topic "Spectral Sequences (Mathematics)"

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Rebane, Karl K., Olavi Ollikainen, and Alexander Rebane. "Error-Corrective Recall of Digital Optical Images in Neural Networks Models by Photoburning of Spectral Holes." In Persistent Spectral Hole Burning: Science and Applications. Washington, D.C.: Optica Publishing Group, 1991. http://dx.doi.org/10.1364/pshb.1991.thb1.

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The neural-network-like scheme of data storage and processing of N-bit sequences of information needs a memory of about N2 elements (interconnections). In digital auto-associative memories /1/ the useful data is presented usually as a set of S different words, v( s )(s= 1,…, S), each word being a sequence of N bits. Simple mathematical rule /2/, given originally by Hopfield /3/, can serve as an algorithm to calculate the values of the N2 elements of the memory matrix, T. Recall of the memory gives an output word, v(out), which results from a thresholded inner product between the interrogating input word, v( in ) and the memory matrix.
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Nunes, Luis Manoel Paiva, C. Guedes Soares, and Jose Antonio Moreira Lima. "Separation of Wave Systems in Time Series of Combined Sea States." In ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/omae2008-57643.

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In some oceanographic applications it is necessary to separate the individual sea state components, or wave systems, that are present in complex wave conditions represented by multipeaked wave energy spectra. Later on, it may be required to realign the original sea states having only the calculated parameters of the splitted spectrum. As an example, this situation may arise when trying to make correlation between time evolution of the sea states with meteorological forcings. To solve this problem a method was developed to follow the time evolution of a given initial sea state using a mathematical tracking procedure. It is based in a “similarity index” between one point of the time series and three previous points. The criterion uses wave parameters Hs (significant wave height), Tp (spectral peak period) and Dir (spectral peak wave direction) to calculate the similarity index. The method selects points that have the highest similarity index as a part of the same type of spectral component, following the time sequence of waves.
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Islamov, Rustam, and Vasily Ustinov. "Computer Program PRAISE: Uncertainty Analysis of Heat Exchanger Three-Dimensional Flow Speed Model." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1039.

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Abstract The main thrust of the Probabilistic Risk Assessment (PRA) model is to assess the spectrum possible scenarios (sequences of events) that can lead undesirable consequences. However, there is no guarantee that all possible scenarios have been identified and properly assessed. This lack of completeness introduces an uncertainty in the results and conclusions of the analysis. Even for scenarios, which have been identified, the event sequence and system logic models do not precisely represent reality. There are uncertainties introduced by the relative inadequacy of the conceptual models, the mathematical models, the numerical approximations, the coding errors and the computational limits.
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Abbas, M. Jamshed, Muhammad Awais, and Asim Ul Haq. "Comparative analysis of wideband communication techniques: Chirp spread spectrum and direct sequence spread spectrum." In 2018 International Conference on Computing, Mathematics and Engineering Technologies (iCoMET). IEEE, 2018. http://dx.doi.org/10.1109/icomet.2018.8346348.

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Başar, Feyzi, and Ali Karaisa. "Spectrum and fine spectrum of the upper triangular triple-band matrix over some sequence spaces." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930511.

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Başar, Feyzi, Nuh Durna, and Mustafa Yildirim. "SUBDIVISIONS OF THE SPECTRA FOR GENERALIZED DIFFERENCE OPERATOR ???v ON THE SEQUENCE SPACE ???1." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525122.

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Janošek, Michal. "Preliminary multivariate analysis of the Harvard spectral classification of the H-R diagram main sequence stars." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912759.

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Başar, Feyzi, and Ali Karaisa. "Fine spectra of upper triangle triple band matrices over the sequence spaces [script-l]p, (0 < p < ∞)." In FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS: ICAAM 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4747658.

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Ismael, Yaseen. "Secure Image Steganography by Utilizing DNA Properties." In 3rd International Conference of Mathematics and its Applications. Salahaddin University-Erbil, 2020. http://dx.doi.org/10.31972/ticma22.08.

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In the last period, Steganography is commonly used as an alternative to encryption to achieve secret communication between parties. Many methods have emerged to achieve steganography, including the use of spatial domain, spread spectrum, transform domain, and etc. On the other hand, the methods of attackers have also developed in revealing hidden data and trying to retrieve it. To increase the security of the hiding process, some researchers have found hybrid methods that combine encryption and steganography processes. The research aims to present a new method in steganography by taking advantage of the properties of DNA, which includes the random sequence of nitrogenous bases (A, C, G, T), the process of hybridization, which occurs between two single strands of DNA to form a double strand of DNA so that the bases in the first strand are complementary to the nitrogenous bases in the second strand. The research includes the following steps: First, the secret image to be hidden is encrypted by encoding it into a series of nitrogenous bases, and then the XOR process is performed with a nitrogenous bases sequence for a DNA tape agreed upon between the sender and recipient, the hybridization process applied before and after the XOR process. The results show that encrypted image is much different from the original image and thus they added another level of security to the hidden image. Secondly, the encrypted image resulting from the first step is hidden in the cover image and using a new method based on the use of the agreed-upon DNA tape as a key.
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Yeşilkayagil, Medine, and Feyzi Başar. "On the fine spectrum of the operator defined by a lambda matrix over the sequence space c0 and c." In FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS: ICAAM 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4747674.

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