Bounded-curvature, bounded-diameter immortal Ricci flows admit only orbifold limits, and type-III flows with sub-logarithmic mu_+ entropy growth are volume non-collapsed with negative Einstein blowdown limits.
Bamler, Long-time behavior of 3-dimensional Ricci flow: introduction
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On the long-time behavior of immortal Ricci flows
Bounded-curvature, bounded-diameter immortal Ricci flows admit only orbifold limits, and type-III flows with sub-logarithmic mu_+ entropy growth are volume non-collapsed with negative Einstein blowdown limits.