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Award ID contains: 1707589

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  1. ; (, Probability Theory and Related Fields)
    null (Ed.)
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  2. ; ; (, The Annals of Applied Probability)
    null (Ed.)
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  3. ; (, Transactions of the American Mathematical Society)
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  4. ; ; (, Latin American Journal of Probability and Mathematical Statistics)
    null (Ed.)
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  5. ; (, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques)
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  6. ; ; ; (, Oberwolfach Reports)
    null (Ed.)
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  7. ; ; (, Geometric and Functional Analysis)
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  8. ; ; (, Transactions of the American Mathematical Society)
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  9. ; ; (, Journal de Mathématiques Pures et Appliquées)
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  10. ; (, Proceedings of the American Mathematical Society)
    Davies’ method of perturbed semigroups is a classical technique to obtain off-diagonal upper bounds on the heat kernel. However Davies’ method does not apply to anomalous diffusions due to the singularity of energy measures. In this note, we overcome the difficulty by modifying the Davies’ perturbation method to obtain sub-Gaussian upper bounds on the heat kernel. 
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