Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On random walks and switched random walks on homogeneous spaces   We prove new mixing rate estimates for the random walks on homogeneous spaces
determined by a probability distribution on a finite group $G$. We introduce
the switched random walk determined by a finite set of probability
distributions on $G$, prove that its long-term behavior is determined by the
Fourier joint spectral radius of the distributions and give hermitian
sum-of-squares algorithms for the effective estimation of this quantity.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol