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<title>Rio Schillmoeller — Neckpinch</title><link>https://neckpinch.com/authors/rio-schillmoeller/</link><description>New arXiv papers by Rio Schillmoeller, from Neckpinch</description>
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<item><title>Dynamical functionals on ancient ARF Ricci flows</title><link>https://neckpinch.com/papers/2511.10460/</link><guid isPermaLink="false">arxiv:2511.10460</guid><pubDate>Thu, 13 Nov 2025 00:00:00 GMT</pubDate><description>Isaac M. Lopez, Rio Schillmoeller — We introduce a dynamical energy functional on compact ancient asymptotically Ricci-flat Ricci flows with modest decay using limits of conjugate heat flows. This functional satisfies a steady Ricci breather-type rigidity and provides an upper bound for the ordinary λ-functional while retaining many of its properties. In addition, motivated by work of Colding and Minicozzi, we derive local eigenvalue estimates for normalized Ricci flows coupled with conjugate heat flows.</description><category>Ricci flow</category><category>Ancient solutions</category><category>Ricci-flat &amp; Calabi–Yau</category><category>Heat kernel</category><category>Stability &amp; uniqueness</category><category>Eigenvalues &amp; spectrum</category></item>
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