Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat kernel for flat generalized Laplacians with anisotropic scaling   We calculate the closed analytic form of the solution of heat kernel equation
for the anisotropic generalizations of flat Laplacian. We consider a UV as well
as UV/IR interpolating generalizations. In all cases, the result can be
expressed in terms of Fox-Wright psi-functions. We perform different
consistency checks, analytically reproducing some of the previous numerical or
qualitative results, such as spectral dimension flow. Our study should be
considered as a first step towards the construction of a heat kernel for curved
Ho\v{r}ava-Lifshitz geometries, which is an essential ingredient in the
spectral action approach to the construction of the Ho\v{r}ava-Lifshitz
gravity.

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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin