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start [2025/09/08 09:47] 139.124.6.236start [2025/09/17 06:29] (current) 82.66.107.61
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 ==== Upcoming talks ====  ==== Upcoming talks ==== 
  
-**September 16 2025: Kaisei Kishi** //Net Occurrences in Fibonacci and Thue-Morse Words// +**October 14 2025: Nicolas Bédaride**
- +
-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 28 2025: Idrissa Kaboré** **October 28 2025: Idrissa Kaboré**
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 **December 23 2025: Savinien Kreczman** **December 23 2025: Savinien Kreczman**
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 +**January 6 2025: Louis Marin**
  
  
 ==== Past talks 2025 ==== ==== Past talks 2025 ====
 +
 +**September 16 2025: Kaisei Kishi** //Net Occurrences in Fibonacci and Thue-Morse Words//
 +
 +{{ seminar2025:20250916kishi.pdf |slides}}
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 +{{ seminar2025:20250916kishi.mp4 |video of the talk}}
 +
 +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.