Academic literature on the topic 'Sobolev sheaves'

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Journal articles on the topic "Sobolev sheaves"

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Caputo, Pietro, and Daniel Parisi. "Block Factorization of the Relative Entropy via Spatial Mixing." Communications in Mathematical Physics 388, no. 2 (2021): 793–818. http://dx.doi.org/10.1007/s00220-021-04237-1.

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AbstractWe consider spin systems in the d-dimensional lattice $${\mathbb Z} ^d$$ Z d satisfying the so-called strong spatial mixing condition. We show that the relative entropy functional of the corresponding Gibbs measure satisfies a family of inequalities which control the entropy on a given region $$V\subset {\mathbb Z} ^d$$ V ⊂ Z d in terms of a weighted sum of the entropies on blocks $$A\subset V$$ A ⊂ V when each A is given an arbitrary nonnegative weight $$\alpha _A$$ α A . These inequalities generalize the well known logarithmic Sobolev inequality for the Glauber dynamics. Moreover, th
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Kampata, M. D., J. Moreau, J. Hertogen, D. Demaiffe, E. Condliffe, and N. F. Mvuemba. "Megacrysts and ultramafic xenoliths from Kundelungu kimberlites (Shaba, Zaire)." Mineralogical Magazine 59, no. 397 (1995): 661–76. http://dx.doi.org/10.1180/minmag.1995.059.397.09.

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AbstractSome twenty kimberlite pipes outcrop along the eastern and western borders of the Kundelungu plateau, Shaba Province, Zaire. They are arranged roughly along two north-south trending alignments. The pipes probably intruded the Bangweulu Block, which stabilized around 1800 Ma. The exceptionally fresh kimberlites contain mantle-derived nodules (peridotites and eclogites), as well as megacrysts which may reach up to several cm in diameter. The most important megacrysts are garnets, ilmenites, clinopyroxenes, orthopyroxenes and olivines. Micas and diamonds are rarely observed. The clinopyro
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LEBEAU, Gilles. "Sobolev spaces and Sobolev sheaves." Astérisque, November 6, 2018. http://dx.doi.org/10.24033/ast.1006.

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GUILLERMOU, Stéphane, Gilles LEBEAU, Adam PARUSINSKI, Pierre SCHAPPIRA, and Jean-Pierre SCHNEIDERS. "Subanalytic sheaves and Sobolev spaces." Astérisque, November 6, 2018. http://dx.doi.org/10.24033/ast.999.

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Dissertations / Theses on the topic "Sobolev sheaves"

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Oudrane, M'hammed. "Projections régulières, structure de Lipschitz des ensembles définissables et faisceaux de Sobolev." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4034.

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Dans cette thèse, nous abordons des questions autour de la structure métrique des ensembles définissables dans les structures o-minimales.Dans la première partie, nous étudions les projections régulières au sens de Mostowski, nous prouvons que ces projections n'existent que pour les structures polynomialement bornées, nous utilisons les projections régulières pour refaire la preuve de Parusinski de l'existence des recouvrements réguliers. Dans la deuxième partie de cette thèse, nous étudions les faisceaux de Sobolev (au sens de Lebeau). Pour les fonctions de Sobolev de régularité entière posit
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Books on the topic "Sobolev sheaves"

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Guillermou, Stéphane. Subanalytic sheaves and Sobolev spaces. Société mathématique de France, 2016.

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