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Award ID contains: 1404435

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  1. ; ; (, Journal de Mathématiques Pures et Appliquées)
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  2. ; (, 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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  3. ; (, Revista Matemática Iberoamericana)
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  4. ; (, Stochastic Analysis and Related Topics)
    We consider a class of homogeneous partial differential operators on a finite-dimensional vector space and study their associated heat kernels. 
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  5. ; (, The Annals of Probability)
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