Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gaussian heat kernel upper bounds via Phragm\'en-Lindel\"of theorem   We prove that in presence of $L^2$ Gaussian estimates, so-called
Davies-Gaffney estimates, on-diagonal upper bounds imply precise off-diagonal
Gaussian upper bounds for the kernels of analytic families of operators on
metric measure spaces.

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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph