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math.DG2021
Dynamical (in)stability of Ricci-flat ALE metrics along Ricci flow
Alix Deruelle, Tristan Ozuch
We study the stability and instability of ALE Ricci-flat metrics around which a Lojasiewicz inequality is satisfied for a variation of Perelman's -functional adapted to the ALE…
math.DG2021
A relative entropy and a unique continuation result for Ricci expanders
Alix Deruelle, Felix Schulze
We prove an optimal relative integral convergence rate for two expanding gradient Ricci solitons coming out of the same cone. As a consequence, we obtain a unique continuation resu…