Relevant bibliographies by topics / Cantor sets

Contents

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

Academic literature on the topic 'Cantor sets'

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

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Journal articles on the topic "Cantor sets"

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Evans, Michael J., Paul D. Humke, and Karen Saxe. "Symmetric porosity of symmetric Cantor sets." Czechoslovak Mathematical Journal 44, no. 2 (1994): 251–64. http://dx.doi.org/10.21136/cmj.1994.128468.

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Geschke, Stefan, Jan Grebík, and Benjamin Miller. "Scrambled Cantor sets." Proceedings of the American Mathematical Society 149, no. 10 (2021): 4461–68. http://dx.doi.org/10.1090/proc/15532.

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Cheraghi, Davoud, and Mohammad Pedramfar. "Hairy Cantor sets." Advances in Mathematics 398 (March 2022): 108168. http://dx.doi.org/10.1016/j.aim.2021.108168.

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Berger, Pierre, and Carlos Gustavo Moreira. "Nested Cantor sets." Mathematische Zeitschrift 283, no. 1-2 (2016): 419–35. http://dx.doi.org/10.1007/s00209-015-1605-6.

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Fletcher, Alastair, and Jang-Mei Wu. "Julia sets and wild Cantor sets." Geometriae Dedicata 174, no. 1 (2014): 169–76. http://dx.doi.org/10.1007/s10711-014-0010-3.

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栾, 佳璇. "Research on the Properties of Cantor Sets and Cantor Functions." Advances in Applied Mathematics 10, no. 04 (2021): 1222–28. http://dx.doi.org/10.12677/aam.2021.104132.

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BAMÓN, RODRIGO, CARLOS G. MOREIRA, SERGIO PLAZA, and JAIME VERA. "Differentiable structures of central Cantor sets." Ergodic Theory and Dynamical Systems 17, no. 5 (1997): 1027–42. http://dx.doi.org/10.1017/s014338579708629x.

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Central Cantor sets form a class of symmetric Cantor sets of the real line. Here we give a complete characterization of the $C^{k + \alpha}$ regularity of these Cantor sets. We also give a classification of central Cantor sets up to global and local diffeomorphisms. Examples of central Cantor sets with special dynamical and measure-theoretical properties are also provided. Finally, we calculate the fractal dimensions of an arbitrary central Cantor set.
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Wright, David. "Bing-Whitehead Cantor sets." Fundamenta Mathematicae 132, no. 2 (1989): 105–16. http://dx.doi.org/10.4064/fm-132-2-105-116.

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PERES, YUVAL, and PABLO SHMERKIN. "Resonance between Cantor sets." Ergodic Theory and Dynamical Systems 29, no. 1 (2009): 201–21. http://dx.doi.org/10.1017/s0143385708000369.

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AbstractLet Ca be the central Cantor set obtained by removing a central interval of length 1−2a from the unit interval, and then continuing this process inductively on each of the remaining two intervals. We prove that if log b/log a is irrational, then where dim is Hausdorff dimension. More generally, given two self-similar sets K,K′ in ℝ and a scaling parameter s>0, if the dimension of the arithmetic sum K+sK′ is strictly smaller than dim (K)+dim (K′)≤1 (‘geometric resonance’), then there exists r<1 such that all contraction ratios of the similitudes defining K and K′ are powers of r (
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CABRELLI, CARLOS A., KATHRYN E. HARE, and URSULA M. MOLTER. "Sums of Cantor sets." Ergodic Theory and Dynamical Systems 17, no. 6 (1997): 1299–313. http://dx.doi.org/10.1017/s0143385797097678.

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We find conditions on the ratios of dissection of a Cantor set so that the group it generates under addition has positive Lebesgue measure. In particular, we answer affirmatively a special case of a conjecture posed by J. Palis.
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Dissertations / Theses on the topic "Cantor sets"

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Clark, Thomas Tyler. "Continued Radicals and Cantor Sets." TopSCHOLAR®, 2012. http://digitalcommons.wku.edu/theses/1145.

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We examine the formation of sets homeomorphic to the ternary Cantor set by continued radicals. We determine properties of bridges and gaps and calculate the thickness of the Cantor set. From this we apply information from continued fractions to continued radicals to obtain new results. We also consider the measure of several Cantor sets.
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Salp, Cem. "Metric diophantine approximation and cantor sets." Thesis, University of York, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444750.

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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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Astels, Stephen. "Cantor sets and numbers with restricted partial quotients." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0017/NQ38215.pdf.

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Roinestad, Kristine A. "Geometry of Self-Similar Sets." Thesis, Virginia Tech, 2007. http://hdl.handle.net/10919/32581.

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This paper examines self-similar sets and some of their properties, including the natural equivalence relation found in bilipschitz equivalence. Both dimension and preservation of paths are determined to be invariant under this equivalence. Also, sophisticated techniques, one involving the use of directed graphs, show the equivalence of two spaces.<br>Master of Science
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Phillips, Jason D. "Intersections of Deleted Digits Cantor Sets With Their Translates." Wright State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=wright1308100597.

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McCoy, Ted. "Upper and Lower Densities of Cantor Sets using Blanketed Hausdorff Functions." The Ohio State University, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=osu1038902284.

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Shaw, Vincent T. "Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases." Wright State University / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=wright1588311633767137.

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Pearsall, Sam Alfred. "The Cantor set." CSUSB ScholarWorks, 1999. https://scholarworks.lib.csusb.edu/etd-project/1528.

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Leifsson, Patrik. "Fractal sets and dimensions." Thesis, Linköping University, Department of Mathematics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-7320.

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<p>Fractal analysis is an important tool when we need to study geometrical objects less regular than ordinary ones, e.g. a set with a non-integer dimension value. It has developed intensively over the last 30 years which gives a hint to its young age as a branch within mathematics.</p><p>In this thesis we take a look at some basic measure theory needed to introduce certain definitions of fractal dimensions, which can be used to measure a set's fractal degree. Comparisons of these definitions are done and we investigate when they coincide. With these tools different fractals are studied and com
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Books on the topic "Cantor sets"

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Vallin, Robert W. The Elements of Cantor Sets. John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118548745.

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Turzański, M. Cantor cubes: Chain conditions. Wydawn. Uniwersytetu Śląskiego, 1996.

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National Cancer Institute (U.S.). Office of Cancer Communications. NCI sets goal for year 2000. National Cancer Institute, Office of Cancer Communications, 1988.

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Saillant, Francine. Cancer et culture: Produire le sens de la maladie. Saint-Martin, 1988.

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Deiser, Oliver. Einführung in die Mengenlehre: Die Mengenlehre Georg Cantors und ihre Axiomatisierung durch Ernst Zermelo. 2nd ed. Springer, 2004.

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United States. Environmental Protection Agency. Office of Air Quality Planning and Standards. Pollutant Assessment Branch., ed. A screening analysis of ambient monitoring data sets in support of the Urban Area Source Program: Final report. Pollutant Assessment Branch, Office of Air Quality Planning and Standards, U.S. Environmental Protection Agency, 1994.

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Kinna, Ruth, and Süreyyya Evren, eds. Blasting the Canon. punctum books, 2013. https://doi.org/10.21983/p3.0035.1.00.

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What’s left to say about the anarchist canon? One answer might be that reflecting on the canon’s construction can help reveal something about the ways in which anarchism has been misunderstood. Another possibility is that it locates anarchism — in all its diversity and complexity — in particular geographical and historical locations. The canon not only establishes the parameters of anarchist theory, it sets them in a particular (European) context, serving as a springboard for subsequent revisions, developments and critiques. The canon describes a classic form, to use George Woodcock’s term – i
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Sloot, Bart. The General Data Protection Regulation in Plain Language. Amsterdam University Press, 2020. http://dx.doi.org/10.5117/9789463726511.

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The General Data Protection Regulation in Plain Language is a guide for anyone interested in the much-discussed rules of the GDPR. In this legislation, which came into force in 2018, the European Union meticulously describes what you can and cannot do with data about other people. Violating these rules can lead to a fine of up to 20 million euros. This book sets out the most important obligations of individuals and organisations that process data about others. These include taking technical security measures, carrying out an impact assessment and registering all data-processing procedures with
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De Zordo, Ornella, and Fiorenzo Fantaccini, eds. altri canoni / canoni altri. Firenze University Press, 2011. http://dx.doi.org/10.36253/978-88-6453-012-3.

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The concept of the literary canon is one of the most debated and controversial in the western intellectual tradition. This book offers ten contributions by Italian scholars of Anglo-American culture addressing the way in which the concept of the literary canon holds out against areas traditionally considered as external or extraneous to it. The essays range over different topics: the etymological analysis of the term "canon"; the relations between canon and performativity; paraliterature – a universe populated by non-hierarchic genres; the relations between post-colonial literature and the can
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Timon, Robert. Table cantonale des registres de mariages des paroisses du canton de Sens banlieue-est (Yonne): Fontaine-la-Gaillarde, Maillot, Malay-le-Grand, Malay-le-Petit, Noé, Passy, Rosoy, Saint-Clément, Saint-Denis, Saligny, Soucy, Vaumort, Véron. Société généalogique de l'Yonne, 2008.

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Book chapters on the topic "Cantor sets"

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Feder, Jens. "Cantor Sets." In Fractals. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4899-2124-6_5.

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Kannan, R., and Carole King Krueger. "Cantor Sets and Singular Functions." In Universitext. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4613-8474-8_9.

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Cabrelli, Carlos, Udayan B. Darji, and Ursula Molter. "Visible and Invisible Cantor Sets." In Excursions in Harmonic Analysis, Volume 2. Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8379-5_2.

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Brilhante, M. Fátima, Dinis Pestana, and M. Luísa Rocha. "Cantor Sets with Random Repair." In New Advances in Statistical Modeling and Applications. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05323-3_7.

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Dekking, Michel. "Random Cantor Sets and Their Projections." In Fractal Geometry and Stochastics IV. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-0346-0030-9_10.

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Tresser, Charles. "Fine Structure of Universal Cantor Sets." In Instabilities and Nonequilibrium Structures III. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3442-2_3.

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Dasgupta, Abhijit. "Interval Trees and Generalized Cantor Sets." In Set Theory. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8854-5_13.

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Hinkis, Arie. "The Theory of Inconsistent Sets." In Proofs of the Cantor-Bernstein Theorem. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0224-6_4.

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Bartoll, Salud, Félix Martínez-Giménez, Marina Murillo-Arcila, and Alfredo Peris. "Cantor Sets, Bernoulli Shifts and Linear Dynamics." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05224-3_10.

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Dasgupta, Abhijit. "Cantor–Bendixson Analysis of Countable Closed Sets." In Set Theory. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8854-5_16.

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Conference papers on the topic "Cantor sets"

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Jiangtao, Zhang, Zhang Xiaoxia, Lei Wenjing, and Wang Guoyin. "Cancer Gene Selection Algorithm Based on Neighborhood Rough Sets Combined with Quantum Genetic Techniques." In 2024 IEEE International Conference on Medical Artificial Intelligence (MedAI). IEEE, 2024. https://doi.org/10.1109/medai62885.2024.00079.

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Seo, Dongkwon, and Yeonho Choi. "SERS-based simultaneous multibiomarkers sensing for precision diagnosis of lung cancer." In Biomedical Light Scattering XV, edited by Adam Wax and Vadim Backman. SPIE, 2025. https://doi.org/10.1117/12.3042884.

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Tsai, E.-Ping, I.-Hsuan Chou, Yen-Pei Lin, et al. "Deep-learning-enhanced SERS tag analysis for multiplex detection of cancer cells." In Plasmonics in Biology and Medicine XXII, edited by Tuan Vo-Dinh, Ho-Pui A. Ho, and Krishanu Ray. SPIE, 2025. https://doi.org/10.1117/12.3044069.

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Kahraman, Mehmet, Ayse Mine Saridag, and Isik Didem Karagoz. "Detection of cancer protein biomarkers in serum on a nanoporous biosilica strip using SERS." In Nanoscale Imaging, Sensing, and Actuation for Biomedical Applications XXII, edited by Dror Fixler and Sebastian Wachsmann-Hogiu. SPIE, 2025. https://doi.org/10.1117/12.3045730.

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Baleanu, Dumitru, and Xiao-Jun Yang. "Euler-Lagrange Equations on Cantor Sets." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12332.

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Sun, Peng. "Schmidt game and fat cantor sets." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015). Author(s), 2016. http://dx.doi.org/10.1063/1.4952038.

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GONCHAROV, ALEXANDER. "ON EXTENSION PROPERTY OF CANTOR-TYPE SETS." In Proceedings of the Sixth Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704450_0013.

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Leonel Rocha, J., Sandra M. Aleixo, and Dinis D. Pestana. "Beta(p,q)-Cantor sets: Determinism and randomness." In Selected Papers from the 3rd Chaotic Modeling and Simulation International Conference (CHAOS2010). WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814350341_0039.

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Silva, Luciano Simões, and Denise Scandarolli. "O Bel Canto e seus espaços." In Encontro da História da Arte. Universidade Estadual de Campinas, 2010. http://dx.doi.org/10.20396/eha.6.2010.3829.

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O Bel Canto, como o próprio nome diz, tem como princípio básico a beleza da voz, sua plasticidade e perfeição encarnadas numa elegante distribuição de harmônicos que resultam em um timbre aveludado e redondo, além de uniformidade e leveza. A precisão do timbre deve ser o objetivo primevo do cantor, que deverá demonstrar emoções com a ajuda da escrita vocal do compositor e de sua flexibilidade e técnica vocal, amadurecida durante anos e muitas vezes décadas de estudo diário que proporcionarão um controle absoluto do “appoggio”, ou controle da respiração, e, portanto, uma capacidade invejável de
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Ong, Soon Ee, Siaw Chen Lee, Noohul Basheer Zain Ali, and Fawnizu Azmadi B. Hussin. "SEOS: Hardware Implementation of Real-Time Operating System for Adaptability." In 2013 First International Symposium on Computing and Networking (CANDAR). IEEE, 2013. http://dx.doi.org/10.1109/candar.2013.110.

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Reports on the topic "Cantor sets"

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Scoville, Nicholas. Georg Cantor at the Dawn of Point-Set Topology. The MAA Mathematical Sciences Digital Library, 2012. http://dx.doi.org/10.4169/loci003861.

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Hersey, Anne. ChEMBL Deposited Data Set - Sanger Cancer Screen. EMBL-EBI, 2013. http://dx.doi.org/10.6019/chembl1201861.

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Karlstrom, Karl, Laura Crossey, Allyson Matthis, and Carl Bowman. Telling time at Grand Canyon National Park: 2020 update. National Park Service, 2021. http://dx.doi.org/10.36967/nrr-2285173.

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Grand Canyon National Park is all about time and timescales. Time is the currency of our daily life, of history, and of biological evolution. Grand Canyon’s beauty has inspired explorers, artists, and poets. Behind it all, Grand Canyon’s geology and sense of timelessness are among its most prominent and important resources. Grand Canyon has an exceptionally complete and well-exposed rock record of Earth’s history. It is an ideal place to gain a sense of geologic (or deep) time. A visit to the South or North rims, a hike into the canyon of any length, or a trip through the 277-mile (446-km) len
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Shahid, Shaouli, Brandon Lau, Jacqui Holub, and Nicola O’Neil. Support along the cancer pathway for Aboriginal People. The Sax Institute, 2021. http://dx.doi.org/10.57022/nscx4826.

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This Evidence Check Review, commissioned by the Cancer Institute NSW, reviewed recent evidence relating to cancer care for Aboriginal and Torres Strait Islander (ATSI) peoples and Indigenous peoples from New Zealand and Canada. It aimed to identify barriers to accessing screening, diagnosis, treatment, and management; and effective approaches and interventions for improving access to and coordination of care. The review identifies a number of barriers and summarises effective approaches to improving care. It includes identified strategies and models, and presents a set of key considerations an
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Abeln, Barend, Jan P.A.M. Jacobs, and Machiel Mulder. Seasonal adjustment of daily data with CAMPLET. CIRANO, 2022. http://dx.doi.org/10.54932/hkse4022.

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In the last decade large data sets have become available, both in terms of the number of time series and with higher frequencies (weekly, daily and even higher). All series may suffer from seasonality, which hides other important fluctuations. Therefore time series are typically seasonally adjusted. However, standard seasonal adjustment methods cannot handle series with higher than monthly frequencies. Recently, Abeln et al. (2019) presented CAMPLET, a new seasonal adjustment method, which does not produce revisions when new observations become available. The aim of this paper is to show the a
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McAllister, Jamie, Brendan McCarrick, Zelda Zhao, and Curtis Fagan. Value Lang Edit Environmental and Health Impacts of Fire and Fire Suppression Activities During Large-Scale Fire Events. SFPE Foundation, 2023. https://doi.org/10.64167/njrr-rq16.

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The primary objective of this research was to characterize the environmental and health impacts of wildland and structural, large-scale fire events. This research sets out to comprehensively evaluate the factors which control the degree of impact, the types of chemicals that have been measured in air, soil, and water, the advantages and limitations of current impact tracking, and quantification methods for large-scale events. An initial step in large-scale fire risk mitigation is hazard characterization; a hazard cannot be reasonably controlled if it is not well defined and understood. With th
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Gerst, Michael D. A Review of Community Resilience Indicators Using a Systems Measurement Framework. National Institute of Standards and Technology, 2024. http://dx.doi.org/10.6028/nist.sp.2300-01.

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As natural disasters have increased in frequency and magnitude, there has been a growing need to understand the underlying factors that are likely to lead to faster recovery and more resilient communities. One way of addressing this need has been to develop sets of indicators or indicator indices that serve as proxy measurements for resilience, which is an emergent system property and cannot be directly measured. Since the application of indicators can have profound effects on community well-being, it is important that indicator selection involves stakeholders and is based on the best availabl
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Sriuranpong, Virote. The role of SHP-1 promoter 2 hypermethylation detection of lymph node micrometastasis in resectable nonmetastasis NSCLC as a prognostic marker of disease. Chulalongkorn University, 2010. https://doi.org/10.58837/chula.res.2010.16.

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Introduction; Despite adequate surgical management of stage I non-small cell lung cancer, many patients still have relapsed of disease which leads to mortality. Micrometastasis of tumor is the postulate mechanism which might not be detected by standard H&amp;E method. The author conducted the study of epithelial methylation marker, SHP-1 Promoter 2 (SHP1P2) methylation as a potential molecular marker to detect high risk relapsed of disease in stage I resectable non-small cell lung cancer (NSCLC). Method; To explore the potential role of SHP1P2 methylation to detect micrometastasis, Lymph node
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Bayliss, G. S., and R. R. Schwarzer. Organic geochemical analyses, outcrop samples, Cambrian-Mississippian rocks, Mescal Canyon section, secs. 28 and 29, T30S, R15W, Hidalgo County, New Mexico. New Mexico Bureau of Geology and Mineral Resources, 1987. http://dx.doi.org/10.58799/ofr-312.

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Lora, Eduardo. What Makes Reforms Likely?: Timing and Sequencing of Structural Reforms in Latin America. Inter-American Development Bank, 2000. http://dx.doi.org/10.18235/0011559.

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The wave of structural reforms in Latin America and elsewhere has stimulated the development of a wide body of theoretical literature on the political economy of reform, i.e., the study of the political constraints that condition the timing, speed and sequencing of reforms. This paper tests some of the hypotheses associated with these theoretical models, using a set of structural reform indicators for approximately twenty Latin American countries for the period 1985-1995. Although there is strong support for some hypotheses, recent reforms in Latin America cannot be adequately explained withou
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