Light Stable Isotopic Compositions of Enriched Mantle Sources: Resolving the Dehydration Paradox: EMORB VOLATILES AND STABLE ISOTOPES
- Award ID(s):
- 1634421
- PAR ID:
- 10075094
- Date Published:
- Journal Name:
- Geochemistry, Geophysics, Geosystems
- Volume:
- 18
- Issue:
- 11
- ISSN:
- 1525-2027
- Page Range / eLocation ID:
- 3801 to 3839
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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Abstract We prove an analytic version of the stable graph regularity lemma by Malliaris and Shelah (Trans. Amer. Math. Soc.366(2014), no. 3, 1551–1585), which applies to stable functions . Our methods involve continuous model theory and, in particular, results on the structure of local Keisler measures for stable continuous formulas. Along the way, we develop some basic tools around ultraproducts of metric structures and linear functionals on continuous formulas, and we also describe several concrete families of examples of stable functions.more » « less
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