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start [2025/09/16 08:54] – 139.124.6.236 | start [2025/09/17 06:29] (current) – 82.66.107.61 | ||
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==== Upcoming talks ==== | ==== Upcoming talks ==== | ||
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- | **September 16 2025: Kaisei Kishi** //Net Occurrences in Fibonacci and Thue-Morse Words// | ||
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- | In a string $T$, an occurrence of a substring $S=T[i ... j]$ is a net occurrence if $S$ is repeated in $T$, while both left extension $T[i-1, ... j]$ and right extension $T[i, ... j+1]$ are unique in $T$. The number of net occurrences of $S$ in $T$ is called its net frequency. Compared with ordinary frequency, net frequency highlights the more significant occurrences of $S$ in $T$. In this talk, I will present several properties of net occurrences and describe techniques to identify all the net occurrences in Fibonacci and Thue-Morse words. In particular, I will explain the technique to characterize the occurrences of smaller-order Fibonacci and Thue-Morse words. This is a joint work with Peaker Guo. | ||
**October 14 2025: Nicolas Bédaride** | **October 14 2025: Nicolas Bédaride** | ||
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==== Past talks 2025 ==== | ==== Past talks 2025 ==== | ||
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+ | **September 16 2025: Kaisei Kishi** //Net Occurrences in Fibonacci and Thue-Morse Words// | ||
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+ | {{ seminar2025: | ||
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+ | {{ seminar2025: | ||
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+ | In a string $T$, an occurrence of a substring $S=T[i ... j]$ is a net occurrence if $S$ is repeated in $T$, while both left extension $T[i-1, ... j]$ and right extension $T[i, ... j+1]$ are unique in $T$. The number of net occurrences of $S$ in $T$ is called its net frequency. Compared with ordinary frequency, net frequency highlights the more significant occurrences of $S$ in $T$. In this talk, I will present several properties of net occurrences and describe techniques to identify all the net occurrences in Fibonacci and Thue-Morse words. In particular, I will explain the technique to characterize the occurrences of smaller-order Fibonacci and Thue-Morse words. This is a joint work with Peaker Guo. | ||