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Relevant bibliographies by topics / Measured Gromov-Hausdorff convergence

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Academic literature on the topic 'Measured Gromov-Hausdorff convergence'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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Journal articles on the topic "Measured Gromov-Hausdorff convergence"

1

Ketterer, Christian. "Lagrangian calculus for nonsymmetric diffusion operators." Advances in Calculus of Variations 13, no. 4 (2020): 361–83. http://dx.doi.org/10.1515/acv-2018-0001.

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AbstractWe characterize lower bounds for the Bakry–Emery Ricci tensor of nonsymmetric diffusion operators by convexity of entropy and line integrals on the {L^{2}}-Wasserstein space, and define a curvature-dimension condition for general metric measure spaces together with a square integrable 1-form in the sense of [N. Gigli, Nonsmooth differential geometry—an approach tailored for spaces with Ricci curvature bounded from below, Mem. Amer. Math. Soc. 251 2018, 1196, 1–161]. This extends the Lott–Sturm–Villani approach for lower Ricci curvature bounds of metric measure spaces. In generalized sm

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Hattori, Kota. "The geometric quantizations and the measured Gromov–Hausdorff convergences." Journal of Symplectic Geometry 18, no. 6 (2020): 1575–627. http://dx.doi.org/10.4310/jsg.2020.v18.n6.a3.

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Ambrosio, Luigi, Shouhei Honda, and Jacobus W. Portegies. "Continuity of nonlinear eigenvalues in $${{\mathrm{CD}}}(K,\infty )$$ CD ( K , ∞ ) spaces with respect to measured Gromov–Hausdorff convergence." Calculus of Variations and Partial Differential Equations 57, no. 2 (2018). http://dx.doi.org/10.1007/s00526-018-1315-0.

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Broutin, Nicolas, Thomas Duquesne, and Minmin Wang. "Limits of multiplicative inhomogeneous random graphs and Lévy trees: limit theorems." Probability Theory and Related Fields, July 18, 2021. http://dx.doi.org/10.1007/s00440-021-01075-z.

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AbstractWe consider a natural model of inhomogeneous random graphs that extends the classical Erdős–Rényi graphs and shares a close connection with the multiplicative coalescence, as pointed out by Aldous (Ann Probab 25:812–854, 1997). In this model, the vertices are assigned weights that govern their tendency to form edges. It is by looking at the asymptotic distributions of the masses (sum of the weights) of the connected components of these graphs that Aldous and Limic (Electron J Probab 3:1–59, 1998) have identified the entrance boundary of the multiplicative coalescence, which is intimate

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Cheeger, Jeff, and Bruce Kleiner. "Inverse Limit Spaces Satisfying a Poincaré Inequality." Analysis and Geometry in Metric Spaces 3, no. 1 (2015). http://dx.doi.org/10.1515/agms-2015-0002.

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Abstract We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [12]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of examples for which our conditions are satisfied. Included are known examples of PI spaces, such as Laakso spaces, and a large class of new examples. As follows easily from [4], generically our example

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Dissertations / Theses on the topic "Measured Gromov-Hausdorff convergence"

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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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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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Luckhardt, Daniel. "Benjamini-Schramm Convergence of Normalized Characteristic Numbers of Riemannian Manifolds." Doctoral thesis, 2018. http://hdl.handle.net/21.11130/00-1735-0000-0005-1388-C.

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