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{\Large Department of Mathematics, BGU}

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{\Huge BGU Probability and Ergodic Theory  (PET) seminar}\\[0.2\baselineskip]

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\textbf{On} \emph{Thursday, May 20, 2021}
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\textbf{At} \emph{11:10 -- 12:00}
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\textbf{In} \emph{Online}

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{\large\scshape Yiftach Dayan 
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  (Technion)
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will talk about
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{\Large\bfseries Random walks on tori and an application to normality of numbers in self-similar sets.\par}
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\textsc{Abstract:}
We show that under certain conditions, random walks on a d-dim torus by affine expanding maps have a unique stationary measure. We then use this result to show that given an IFS of contracting similarity maps of the real line with a uniform contraction ratio 1/D, where D is some integer \textgreater{} 1, under some suitable condition, almost every point in the attractor of the given IFS (w.r.t. a natural measure) is normal to base D. (Joint work with Arijit Ganguly and Barak Weiss.)





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{\bfseries Please Note the Unusual Place!}
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