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Timeline for Width of the peaks in a Dyck's path

Current License: CC BY-SA 4.0

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Mar 11, 2022 at 0:27 history edited user3141592 CC BY-SA 4.0
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Mar 3, 2022 at 0:37 history edited Sam Hopkins CC BY-SA 4.0
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Mar 3, 2022 at 0:35 history edited user3141592 CC BY-SA 4.0
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Mar 2, 2022 at 1:40 comment added Alexander Burstein Looks like the tunnels of Elizalde and Deutsch: arxiv.org/pdf/math/0306125.pdf
Mar 2, 2022 at 1:32 comment added user61318 Is this the chord length statistic on Dyck paths in work of Wilson and Kenyon? (cf Figure 4 in J.S. Kim's article: arxiv.org/pdf/1108.5558.pdf)
Mar 2, 2022 at 1:26 comment added Sam Hopkins It's not clear what you mean by "closed form": do you mean, for the corresponding generating function over all Dyck paths? At any rate, you might poke around findstat.org to see if your statistic has been explored before (I'm sure it has...)
Mar 2, 2022 at 1:19 history edited user3141592 CC BY-SA 4.0
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Mar 2, 2022 at 1:09 history asked user3141592 CC BY-SA 4.0