Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On multiplicative Chung--Diaconis--Graham process   We study the lazy Markov chain on $\mathbf{F}_p$ defined as $X_{n+1}=X_n$
with probability $1/2$ and $X_{n+1}=f(X_n) \cdot \varepsilon_{n+1}$, where
$\varepsilon_n$ are random variables distributed uniformly on $\{ \gamma^{},
\gamma^{-1}\}$, $\gamma$ is a primitive root and $f(x) = \frac{x}{x-1}$ or
$f(x)=\mathrm{ind} (x)$. Then we show that the mixing time of $X_n$ is
$\exp(O(\log p / \log \log p))$. Also, we obtain an application to an
additive--combinatorial question concerning a certain Sidon--type family of
sets.

23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn