Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat kernel estimates for random walks with degenerate weights   We establish Gaussian-type upper bounds on the heat kernel for a
continuous-time random walk on a graph with unbounded weights under an
ergodicity assumption. For the proof we use Davies' perturbation method, where
we show a maximal inequality for the perturbed heat kernel via Moser iteration.

3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: nlin
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph