@article{0943804378b44c7fb83c15096fc9fa57,
title = "Short-time behavior of the heat kernel and Weyl{\textquoteright}s law on RCD ∗(K, N) spaces",
abstract = "In this paper, we prove pointwise convergence of heat kernels for mGH-convergent sequences of RCD ∗(K, N) -spaces. We obtain as a corollary results on the short-time behavior of the heat kernel in RCD ∗(K, N) -spaces. We use then these results to initiate the study of Weyl{\textquoteright}s law in the RCD setting.",
keywords = "RCD spaces, Spectral analysis, Weyl{\textquoteright}s law",
author = "Luigi Ambrosio and Shouhei Honda and David Tewodrose",
note = "Funding Information: Acknowledgements The first and third author acknowledge the support of the PRIN2015 MIUR Project “Calcolo delle Variazioni”. The second author acknowledges the support of the JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers, the Grant-in-Aid for Young Scientists (B) 16K17585 and the Scuola Normale Superiore for warm hospitality. Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media B.V.",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/s10455-017-9569-x",
language = "English",
volume = "53",
pages = "97--119",
journal = "Annals of Global Analysis and Geometry",
issn = "0232-704X",
publisher = "Springer Netherlands",
number = "1",
}