Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusion in kappa deformed space and Spectral Dimension   In this paper, we derive the expression for spectral dimension using a
modified diffusion equation in the kappa-deformed space-time. We start with the
Beltrami-Laplace operator in the kappa-Minkowski space-time and obtain the
deformed diffusion equation. From the solution of this deformed diffusion
equation, we calculate the spectral dimension which depends on the deformation
parameter `$a$' and also on an integer `$k$', apart from the topological
dimension. Using this, we show that, for large diffusion times the spectral
dimension approaches the usual topological dimension where as spectral
dimension diverges to $+\infty$ for $k\geq 0$ and $-\infty$ for $k < 0$ at high
energies .

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The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
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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: nucl-th
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn