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Relevant bibliographies by topics / Gromov hyperbolicity

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Journal articles
Dissertations / Theses
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Conference papers

Academic literature on the topic 'Gromov hyperbolicity'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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Journal articles on the topic "Gromov hyperbolicity"

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Balogh, Zoltan M., and Mario Bonk. "Pseudoconvexity and Gromov hyperbolicity." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 328, no. 7 (1999): 597–602. http://dx.doi.org/10.1016/s0764-4442(99)80253-5.

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Herron, David, Nageswari Shanmugalingam, and Xiangdong Xie. "Uniformity from Gromov hyperbolicity." Illinois Journal of Mathematics 52, no. 4 (2008): 1065–109. http://dx.doi.org/10.1215/ijm/1258554351.

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Wu, Zhijuan, and Yingqing Xiao. "On the Gromov-Hausdorff limit of metric spaces." Mathematica Slovaca 69, no. 4 (2019): 931–38. http://dx.doi.org/10.1515/ms-2017-0278.

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Abstract In this paper, we show that a class of metric spaces determined by a continuous function f, which defines on the metric space of all real, n × n-matrices m is closed under the Gromov-Hausdorff convergence. This conclusion can be used to prove some metric properties of metric space is stable under the Gromov-Hausdorff convergence. Secondly, we consider the stability problem in Gromov hyperbolic space and show that if a sequence of Gromov hyperbolic spaces (Xn, dn) is said to converge to (X, d) in the sense of Gromov-Hausdorff convergence, then the Gromov hyperbolicity δ(Xn) of (Xn, dn)

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Portilla, Ana, José M. Rodríguez, José M. Sigarreta, and Eva Tourís. "Gromov Hyperbolicity in Directed Graphs." Symmetry 12, no. 1 (2020): 105. http://dx.doi.org/10.3390/sym12010105.

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In this paper, we generalize the classical definition of Gromov hyperbolicity to the context of directed graphs and we extend one of the main results of the theory: the equivalence of the Gromov hyperbolicity and the geodesic stability. This theorem has potential applications to the development of solutions for secure data transfer on the internet.

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Koskela, Pekka, Päivi Lammi, and Vesna Manojlović. "Gromov hyperbolicity and quasihyperbolic geodesics." Annales scientifiques de l'École normale supérieure 47, no. 5 (2014): 975–90. http://dx.doi.org/10.24033/asens.2231.

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Granados, Ana, Domingo Pestana, Ana Portilla, and José Rodríguez. "Gromov Hyperbolicity in Mycielskian Graphs." Symmetry 9, no. 8 (2017): 131. http://dx.doi.org/10.3390/sym9080131.

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RUGGIERO, RAFAEL OSWALDO. "Topological stability and Gromov hyperbolicity." Ergodic Theory and Dynamical Systems 19, no. 1 (1999): 143–54. http://dx.doi.org/10.1017/s0143385799120959.

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We show that if the geodesic flow of a compact analytic Riemannian manifold $M$ of non-positive curvature is either $C^{k}$-topologically stable or satisfies the $\epsilon$-$C^{k}$-shadowing property for some $k > 0$ then the universal covering of $M$ is a Gromov hyperbolic space. The same holds for compact surfaces without conjugate points.

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Cohen, Nathann, David Coudert, and Aurélien Lancin. "On Computing the Gromov Hyperbolicity." ACM Journal of Experimental Algorithmics 20 (December 15, 2015): 1–18. http://dx.doi.org/10.1145/2780652.

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Rodríguez, José M., and Eva Tourís. "Gromov Hyperbolicity of Riemann Surfaces." Acta Mathematica Sinica, English Series 23, no. 2 (2006): 209–28. http://dx.doi.org/10.1007/s10114-005-0547-z.

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Hernández, Verónica, Domingo Pestana, and José M. Rodríguez. "Bounds on Gromov hyperbolicity constant." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 110, no. 2 (2015): 321–42. http://dx.doi.org/10.1007/s13398-015-0235-5.

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Dissertations / Theses on the topic "Gromov hyperbolicity"

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Guarnera, Heather M. "Hyperbolicity, injective hulls, and Helly graphs." Kent State University / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=kent1594058509433274.

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Lonjou, Anne. "Groupe de Cremona et espaces hyperboliques." Thesis, Toulouse 3, 2017. http://www.theses.fr/2017TOU30108/document.

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Le groupe de Cremona de rang 2 est le groupe des transformations birationnelles du plan projectif. Le but de cette thèse est d'étudier et de construire des espaces hyperboliques sur lesquels le groupe de Cremona agit et qui permettent de mettre en œuvre des méthodes provenant de la théorie géométrique des groupes. Il est connu depuis une dizaine d'année que le groupe de Cremona agit sur un espace hyperbolique H analogue au plan hyperbolique classique mais de dimension infinie. Dans un premier temps, nous montrons que le groupe de Cremona défini sur un corps quelconque n'est pas simple en le fa

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Petit, Camille. "Autour de l'analyse géométrique. 1) Comportement au bord des fonctions harmoniques 2) Rectifiabilité dans le groupe de Heisenberg." Phd thesis, Université de Grenoble, 2012. http://tel.archives-ouvertes.fr/tel-00744491.

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Dans cette thèse, nous nous intéressons à deux thèmes d'analyse géométrique. Le premier concerne le comportement asymptotique des fonctions harmoniques en relation avec la géométrie, sur des graphes et des variétés. Nous étudions des critères de convergence au bord des fonctions harmoniques, comme celui de la bornitude non-tangentielle, de la finitude de l'énergie ou encore de la densité de l'énergie. Nous nous plaçons pour cela dans différents cadres comme les graphes hyperboliques au sens de Gromov, les variétés hyperboliques au sens de Gromov, les graphes de Diestel-Leader ou encore dans un

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Okutan, Osman Berat. "Persistence, Metric Invariants, and Simplification." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1559312147225384.

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Ducoffe, Guillaume. "Propriétés métriques des grands graphes." Thesis, Université Côte d'Azur (ComUE), 2016. http://www.theses.fr/2016AZUR4134/document.

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Les grands réseaux de communication sont partout, des centres de données avec des millions de serveurs jusqu’aux réseaux sociaux avec plusieurs milliards d’utilisateurs.Cette thèse est dédiée à l’étude fine de la complexité de différents problèmes combinatoires sur ces réseaux. Dans la première partie, nous nous intéressons aux propriétés des plongements des réseaux de communication dans les arbres. Ces propriétés aident à mieux comprendre divers aspects du trafic dans les réseaux (tels que la congestion). Plus précisément, nous étudions la complexité du calcul de l’hyperbolicité au sens de Gr

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Bubani, Elia. "Homeomorphic extension of Quasi-Isometries and Iteration Theory." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/23243/.

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Starting from the Riemann Mapping Theorem it arises the interest for biholomorphisms over domains in one or several complex variables. Poincar´e showed that there is no analytic isomorphism between the Polydisc and the unit ball already in C^2. The previous fact may suggest that biholomorphic domains are a class of such well-behaved sets that could extend some regularity of the biholomorpshism until their respective boundaries. A very influent approach was faced by Fefferman (published in the year 1974), by proving that every biholomorphism between bounded strongly pseudoconvex domains

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Bertrand, Florian. "Analyse locale dans les variétés presque complexes." Phd thesis, Université de Provence - Aix-Marseille I, 2007. http://tel.archives-ouvertes.fr/tel-00201783.

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Dans cette thèse, nous abordons certains aspects de l'analyse locale dans les variétés presque complexes. Dans un premier temps, nous étudions le fibré cotangent qui est un outil important pour l'analyse et la géométrie complexe. Nous construisons un relevé de structure presque complexe, à l'aide d'une connexion, qui unifie les relevés complets de I.Sato et horizontaux de S.Ishihara et K.Yano. Par ailleurs, nous dégageons les principales propriétés analytiques et symplectiques du relevé ainsi construit. <br />Dans les deux études qui suivent, nous nous intéressons aux propriétés locales des do

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Ismail, Anas. "Computing the Gromov hyperbolicity constant of a discrete metric space." Thesis, 2012. http://hdl.handle.net/10754/244575.

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Although it was invented by Mikhail Gromov, in 1987, to describe some family of groups[1], the notion of Gromov hyperbolicity has many applications and interpretations in different fields. It has applications in Biology, Networking, Graph Theory, and many other areas of research. The Gromov hyperbolicity constant of several families of graphs and geometric spaces has been determined. However, so far, the only known algorithm for calculating the Gromov hyperbolicity constant δ of a discrete metric space is the brute force algorithm with running time O (n4) using the four-point condition. In t

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Book chapters on the topic "Gromov hyperbolicity"

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Baker, Matthew, and Robert Rumely. "ℝ-trees and Gromov hyperbolicity." In Mathematical Surveys and Monographs. American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/159/12.

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Zimmer, Andrew. "Gromov Hyperbolicity of Bounded Convex Domains." In Lecture Notes in Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65837-7_4.

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Duan, Ran. "Approximation Algorithms for the Gromov Hyperbolicity of Discrete Metric Spaces." In LATIN 2014: Theoretical Informatics. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54423-1_25.

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Conference papers on the topic "Gromov hyperbolicity"

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Fan, Jinhua. "Non-Gromov hyperbolicity of asymptotic Teichmuller spaces." In 2014 International Conference on Advanced ICT (ICAICTE-2014). Atlantis Press, 2014. http://dx.doi.org/10.2991/icaicte-14.2014.3.

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