Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On lower bounded orbits of the times-q map   In this paper we consider the times-q map on the unit interval as a subshift
of finite type by identifying each number with its base q expansion, and we
study certain non-dense orbits of this system where no element of the orbit is
smaller than some fixed parameter c. The Hausdorff dimension of these orbits
can be calculated using the spectral radius of the transition matrix of the
corresponding subshift, and using simple methods based on Euclidean division in
the integers, we completely characterize the characteristic polynomials of
these matrices as well as give the value of the spectral radius for certain
values of c. It is known through work of Urbanski and Nilsson that the
Hausdorff dimension of the orbits men- tioned above as a map of c is continuous
and constant almost everywhere, and as a new result we give some asymptotic
results on how this map behaves as q goes to infinity,

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The categories of this paper are: math-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg