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Creators/Authors contains: "Grigor'yan, Alexander"

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  1. ; ; (, Proceedings of the London Mathematical Society)
    Abstract We obtain optimal estimates of the Poincaré constant of central balls on manifolds with finitely many ends. Surprisingly enough, the Poincaré constant is determined by thesecondlargest end. The proof is based on the argument by Kusuoka–Stroock where the heat kernel estimates on the central balls play an essential role. For this purpose, we extend earlier heat kernel estimates obtained by the authors to a larger class of parabolic manifolds with ends. 
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  2. ; ; (, Journal de Mathématiques Pures et Appliquées)
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