Relevant bibliographies by topics / Metric spaces Hausdorff measures

Contents

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

Academic literature on the topic 'Metric spaces Hausdorff measures'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Metric spaces Hausdorff measures"

1

Costea, Ş. "Besov capacity and Hausdorff measures in metric measure spaces." Publicacions Matemàtiques 53 (January 1, 2009): 141–78. http://dx.doi.org/10.5565/publmat_53109_07.

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Karak, Nijjwal, and Pekka Koskela. "Capacities and Hausdorff measures on metric spaces." Revista Matemática Complutense 28, no. 3 (2015): 733–40. http://dx.doi.org/10.1007/s13163-015-0174-x.

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Wu, Jang-Mei. "Hausdorff dimension and doubling measures on metric spaces." Proceedings of the American Mathematical Society 126, no. 5 (1998): 1453–59. http://dx.doi.org/10.1090/s0002-9939-98-04317-2.

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Björn, Jana, and Jani Onninen. "Orlicz capacities and Hausdorff measures on metric spaces." Mathematische Zeitschrift 251, no. 1 (2005): 131–46. http://dx.doi.org/10.1007/s00209-005-0792-y.

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Franchi, Bruno, Raul Paolo Serapioni, and Francesco Serra Cassano. "Area formula for centered Hausdorff measures in metric spaces." Nonlinear Analysis 126 (October 2015): 218–33. http://dx.doi.org/10.1016/j.na.2015.02.008.

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Banaś, Józef, and Antonio Martinón. "Some properties of the Hausdorff distance in metric spaces." Bulletin of the Australian Mathematical Society 42, no. 3 (1990): 511–16. http://dx.doi.org/10.1017/s0004972700028677.

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Karak, Nijjwal. "Triebel-Lizorkin capacity and hausdorff measure in metric spaces." Mathematica Slovaca 70, no. 3 (2020): 617–24. http://dx.doi.org/10.1515/ms-2017-0376.

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AbstractWe provide a upper bound for Triebel-Lizorkin capacity in metric settings in terms of Hausdorff measure. On the other hand, we also prove that the sets with zero capacity have generalized Hausdorff h-measure zero for a suitable gauge function h.
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Jurina, S., N. MacGregor, A. Mitchell, L. Olsen, and A. Stylianou. "On the Hausdorff and packing measures of typical compact metric spaces." Aequationes mathematicae 92, no. 4 (2018): 709–35. http://dx.doi.org/10.1007/s00010-018-0548-5.

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Aïssaoui, Noureddine. "Strongly nonlinear potential theory on metric spaces." Abstract and Applied Analysis 7, no. 7 (2002): 357–74. http://dx.doi.org/10.1155/s1085337502203024.

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We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results. We prove that each Orlicz-Sobolev function has a quasi-continuous representative. We give estimates for the capacity of balls when the measure is doubling. Under additional regularity assumption on the measure, we establish some relations between capacity and Hausdorff measures.
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MAULDIN, R. D., T. SZAREK, and M. URBAŃSKI. "Graph directed Markov systems on Hilbert spaces." Mathematical Proceedings of the Cambridge Philosophical Society 147, no. 2 (2009): 455–88. http://dx.doi.org/10.1017/s0305004109002448.

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AbstractWe deal with contracting finite and countably infinite iterated function systems acting on Polish spaces, and we introduce conformal Graph Directed Markov Systems on Polish spaces. Sufficient conditions are provided for the closure of limit sets to be compact, connected, or locally connected. Conformal measures, topological pressure, and Bowen's formula (determining the Hausdorff dimension of limit sets in dynamical terms) are introduced and established. We show that, unlike the Euclidean case, the Hausdorff measure of the limit set of a finite iterated function system may vanish. Inve
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Dissertations / Theses on the topic "Metric spaces Hausdorff measures"

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Howroyd, John David. "On the theory of Hausdorff measures in metric spaces." Thesis, University College London (University of London), 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.283290.

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

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A construction is given for which the Hausdorff measure and dimension of an arbitrary abstract compact metric space (X, d) can be encoded in a spectral triple. By introducing the concept of resolving sequence of open covers, conditions are given under which the topology, metric, and Hausdorff measure can be recovered from a spectral triple dependent on such a sequence. The construction holds for arbitrary compact metric spaces, generalizing previous results for fractals, as well as the original setting of manifolds, and also holds when Hausdorff and box dimensions differ---in particular, it does n
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Siebert, Kitzeln B. "A modern presentation of "dimension and outer measure"." Columbus, Ohio : Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1211395297.

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Lopez, Marcos D. "Discrete Approximations of Metric Measure Spaces with Controlled Geometry." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439305529.

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Suzuki, Kohei. "Convergence of stochastic processes on varying metric spaces." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215281.

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Carlsson, Niclas. "Markov chains on metric spaces : invariant measures and asymptotic behaviour /." Åbo : Åbo akademi university, 2005. http://catalogue.bnf.fr/ark:/12148/cb400328312.

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Kelly, Annela Rämmer. "Weakly analytic vector-valued measures /." free to MU campus, to others for purchase, 1996. http://wwwlib.umi.com/cr/mo/fullcit?p9821334.

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Yuan, Zhihui. "Analyse multifractale de mesures faiblement Gibbs aléatoires et de leurs inverses." Thesis, Sorbonne Paris Cité, 2015. http://www.theses.fr/2015USPCD098/document.

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Nous montrons la validité du formalisme multifractal pour les mesures aléatoires faiblement Gibbs portées par l’ attracteur associé à une dynamique aléatoire C¹ codée par un sous-shift de type fini aléatoire, et expansive en moyenne. Nous établissons également des loi de type 0-∞ pour les mesures de Hausdorff et de packing généralisées des ensembles de niveau de la dimension locale, et calculons les dimensions de Hausdorff et de packing des ensembles de points en lesquels la dimension inférieure locale et la dimension supérieure locale sont prescrites. Lorsque l’attracteur est un ensemble de C
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Sénizergues, Delphin. "Structures arborescentes aléatoires : recollements d’espaces métriques et graphes stables." Thesis, Sorbonne Paris Cité, 2019. http://www.theses.fr/2019USPCD013.

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Le thème central de cette thèse est l'étude d'espaces métriques aléatoires dont la structure est apparentée à celle d'un arbre. On étudie d'abord une façon aléatoire de recoller une suite d'espaces métriques itérativement, en attachant à chaque étape de la procédure un nouveau bloc sur la structure construite jusque là. Sous certaines conditions sur les blocs que l'on agglomère, on calcule la dimension de Hausdorff de la structure obtenue et son expression est surprenante ! On s'intéresse ensuite à certaines propriétés asymptotiques (degrés, hauteur, profil) de deux modèles d'arbres discrets c
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Bettinelli, Jérémie. "Limite d'échelle de cartes aléatoires en genre quelconque." Phd thesis, Université Paris Sud - Paris XI, 2011. http://tel.archives-ouvertes.fr/tel-00638065.

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Au cours de ce travail, nous nous intéressons aux limites d'échelle de deux classes de cartes. Dans un premier temps, nous regardons les quadrangulations biparties de genre strictement positif g fixé et, dans un second temps, les quadrangulations planaires à bord dont la longueur du bord est de l'ordre de la racine carrée du nombre de faces. Nous voyons ces objets comme des espaces métriques, en munissant leurs ensembles de sommets de la distance de graphe, convenablement renormalisée. Nous montrons qu'une carte prise uniformément parmi les cartes ayant n faces dans l'une de ces deux classes t
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Books on the topic "Metric spaces Hausdorff measures"

1

Probability measures on metric spaces. AMS Chelsea Pub., 2005.

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Ecole d'été de probabilités de Saint-Flour (35th : 2005), ed. Probability and real trees: École d'Été de Probabilités de Saint-Flour XXXV-2005. Springer, 2008.

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Bernik, V. I. Metric diophantine approximation on manifolds. Cambridge University Press, 1999.

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1951-, Domínguez Benavides T., and López Acedo G. 1956-, eds. Measures of noncompactness in metric fixed point theory. Birkhäuser Verlag, 1997.

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Carlsson, Niclas. Markov chains on metric spaces: Invariant measures and asymptotic behaviour. Åbo Akademi University Press, 2005.

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Billingsley, Patrick. Convergence of Probability Measures. 2nd ed. Wiley-Interscience, 1999.

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Nicola, Gigli, Savaré Giuseppe, Struwe Michael 1955-, and SpringerLink (Online service), eds. Gradient Flows: In Metric Spaces and in the Space of Probability Measures. Birkhäuser Basel, 2008.

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Ambrosio, Luigi. Gradient flows: In metric spaces and in the space of probability measures. Birkhauser, 2004.

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Nicola, Gigli, and Savaré Giuseppe, eds. Gradient flows: In metric spaces and in the space of probability measures. Birkhäuser, 2005.

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Metric In Measure Spaces. World Scientific Pub Co Inc, 2020.

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Book chapters on the topic "Metric spaces Hausdorff measures"

1

Filter, W., and K. Weber. "Measures on Hausdorff spaces." In Integration Theory. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4899-3194-8_5.

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Bourbaki, Nicolas. "Measures on Hausdorff topological spaces." In Integration II. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-07931-7_3.

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Pachl, Jan. "Measures on Complete Metric Spaces." In Uniform Spaces and Measures. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-5058-0_6.

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Li, Zenghu. "Random Measures on Metric Spaces." In Probability and Its Applications. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-15004-3_1.

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Simovici, Dan A., and Chabane Djeraba. "Metric Spaces Topologies and Measures." In Advanced Information and Knowledge Processing. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6407-4_8.

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Simovici, Dan A., and Chabane Djeraba. "Topologies and Measures on Metric Spaces." In Advanced Information and Knowledge Processing. Springer London, 2008. http://dx.doi.org/10.1007/978-1-84800-201-2_11.

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Dudley, R. M. "Measures on Non-Separable Metric Spaces." In Selected Works of R.M. Dudley. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-5821-1_3.

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Mosco, Umberto. "Self-Similar Measures in Quasi-Metric Spaces." In Recent Trends in Nonlinear Analysis. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8411-2_21.

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Bhattacharya, Rabi, and Edward C. Waymire. "Weak Convergence of Probability Measures on Metric Spaces." In A Basic Course in Probability Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47974-3_7.

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Dudley, R. M. "Weak Convergence of Probabilities on Nonseparable Metric Spaces and Empirical Measures on Euclidean Spaces." In Selected Works of R.M. Dudley. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-5821-1_2.

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Conference papers on the topic "Metric spaces Hausdorff measures"

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Shan Cao. "Regularity of fuzzy measures on complete and separable metric spaces." In 2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). IEEE, 2015. http://dx.doi.org/10.1109/fskd.2015.7381934.

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Phiangsungnoen, Supak. "Some New Fuzzy Fixed Point Theorems for Fuzzy Contractive Mappings in Hausdorff Fuzzy Metric Spaces." In 2018 International Conference on Control, Artificial Intelligence, Robotics & Optimization (ICCAIRO). IEEE, 2018. http://dx.doi.org/10.1109/iccairo.2018.00034.

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McWherter, David, Mitchell Peabody, William C. Regli, and Ali Shokoufandeh. "Transformation Invariant Shape Similarity Comparison of Solid Models." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/dfm-21191.

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Abstract This paper presents two complementary approaches to comparing the shape and topology of solid models. First, we develop a mapping of solid models to Model Signature Graphs (MSGs) — labeled, undirected graphs that abstract the boundary representation of the model and capture relevant shape and engineering attributes. Model Signature Graphs are then used to define metric spaces over arbitrary sets of solid models. This paper introduces two such metric spaces: first, a mapping of MSGs to a high-dimension vector space where euclidean distance measures are applied; second, a distance compu
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