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- W3170852535 abstract "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." @default.
- W3170852535 created "2021-06-22" @default.
- W3170852535 creator A5071151408 @default.
- W3170852535 date "2021-06-17" @default.
- W3170852535 modified "2023-09-27" @default.
- W3170852535 title "On multiplicative Chung--Diaconis--Graham process" @default.
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