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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 28, 2026}
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\textbf{At} \emph{11:10 -- 12:00}
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\textbf{In} \emph{-101}

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{\large\scshape Tom Meyerovitch 
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  (BGU)
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will talk about
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{\Large\bfseries Rationality and computability of the covering radius for sofic shifts\par}
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\textsc{Abstract:}
The covering radius of a shift space is a quantity of interest for information-theoretic applications of data transmission over noisy channels.
In this talk we will explain what is the covering radius of a sofic shift and  why people care about it. We will outline a proof that the covering radius of a primitive sofic shift is always a rational number, and outline an algorithm to compute the covering radius from a labeled graph presentation.
We will also briefly explain how these results relate to dynamics, to a certain zero-sum two-player game and to an old meta-conjecture about typical ground states in statistical mechanics.
The notions will be defined, no specific background assumed.
Based on joint work with Aidan Young as in https://arxiv.org/abs/2603.21449,
and previous joint work with Dor Elimelech and Moshe Schwartz as in https://ieeexplore.ieee.org/document/10360152








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