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MR2592958 (2011j:49023) 49J53 (26D10 37C10 37N40 49J52 65K10)
Bolte, Jérôme; Daniilidis, Aris; Ley, Olivier; Mazet, Laurent Characterizations of Łojasiewicz inequalities: subgradient flows, talweg, convexity. Trans. Amer. Math. Soc. 362 (2010), no. 6, 3319–3363.
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