In: Clinical Chemistry and Laboratory Medicine (CCLM), 2017, vol. 55, no. 10, p. e238-e239
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In: Bulletin of the London Mathematical Society, 2020, vol. 52, no. 3, p. 472–488
A theorem of Dorronsoro from the 1980s quantifies the fact that real‐valued Sobolev functions on Euclidean spaces can be approximated by affine functions almost everywhere, and at all sufficiently small scales. We prove a variant of Dorronsoro's theorem in Heisenberg groups: functions in horizontal Sobolev spaces can be approximated by affine functions which are independent of the last...
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In: Ecosphere, 2020, vol. 11, no. 2, p. -
In search of generalities in biological invasions, it is sometimes forgotten that invader success can be a function of both the diversity of the invaded community and the relatedness of the invader relative to community residents. Both qualities are likely to be especially important in stressful ecosystems, and identifying the species and community attributes that influence biological ...
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In: Calculus of Variations and Partial Differential Equations, 2020, vol. 59, no. 2, p. 76
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In: Geometriae Dedicata, 2020, p. -
This note is concerned with the geometric classification of connected Lie groups of dimension three or less, endowed with left-invariant Riemannian metrics. On the one hand, assembling results from the literature, we give a review of the complete classification of such groups up to quasi-isometries and we compare the quasi- isometric classification with the bi-Lipschitz classification. On the...
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In: Journal of Functional Analysis, 2020, vol. 278, no. 6, p. 108403
We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces, developed by the first author. We prove that our notion is consistent with Kirchheim's metric differential when the source is a Euclidean space, and with the abstract differential provided by the first author when...
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In: Cell Metabolism, 2019, vol. 30, no. 2, p. 238–250
The importance of circadian biology has rarely been considered in pre-clinical studies, and even more when translating to the bedside. Circadian biology is becoming a critical factor for improving drug efficacy and diminishing drug toxicity. Indeed, there is emerging evidence showing that some drugs are more effective at nighttime than daytime, whereas for others it is the opposite. This...
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In: AGE, 2014, vol. 36, no. 3, p. 1249-1261
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In: Journal of Numerical Mathematics, 2016, vol. 24, no. 1, p. 1-15
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In: The International Journal of Life Cycle Assessment, 2006, vol. 11, no. 3, p. 209-212
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