Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Number of Distinct Sites Visited by a Random Walk with Internal States   In the classical paper of Dvoretzky-Erd\H{o}s, asymptotics for the expected
value and the variance of the number of distinct sites visited by a Simple
Symmetric Random Walk were calculated. Here, these results are generalized for
Random Walks with Internal States. Moreover, both weak and strong laws of large
numbers are proved. As a tool for these results, the error term of the local
limit theorem in of Kr\'amli and Sz\'asz is also estimated.

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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th