Timeline for A double grading of catalan numbers
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| Feb 14, 2022 at 3:18 | comment | added | David E Speyer | @MarkS Thank you! | |
| Feb 14, 2022 at 3:17 | history | edited | David E Speyer | CC BY-SA 4.0 |
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| Feb 14, 2022 at 0:26 | comment | added | Mark S | *Ardila (one l) | |
| Dec 5, 2017 at 16:35 | history | edited | David E Speyer | CC BY-SA 3.0 |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 28, 2013 at 13:52 | answer | added | David E Speyer | timeline score: 3 | |
| May 27, 2013 at 22:45 | vote | accept | David E Speyer | ||
| May 27, 2013 at 15:17 | answer | added | Christian Stump | timeline score: 16 | |
| May 26, 2013 at 8:32 | comment | added | Martin Rubey | @Christian: Perfect, many many thanks! | |
| May 25, 2013 at 22:26 | answer | added | F Castillo | timeline score: 1 | |
| May 25, 2013 at 22:11 | comment | added | Christian Stump | Hi @Martin: sorry, you're right - what I meant is that the zeta map sends the number of zero's in the area sequence to the size of the first bounce. The number of zero's is equal to the number of returns, while the size of the first bounce is the number of up steps before the first down step. It is thus the other way round than what I wrote in my comment above. In the example, the number of zero's on the left is 1 as is the number of up steps before the first right step. | |
| May 25, 2013 at 19:36 | comment | added | Martin Rubey | @Christian: I had a look at the zeta map but do not see your observation, I guess I'm misunderstanding something. In Jim Haglund's book there is an illustration on pg 50, but there the length of the initial rise of $\pi$ is 3 while the number of returns of $\zeta(\pi)$ is 2. Could you clarify? (Eg., does it work only in the special situation of Vince Vatter's question, and after "shortening" the Dyck path by omitting the first and the last step?) Thanks! | |
| May 25, 2013 at 10:37 | comment | added | Henry.L | It widens my eyesight. Great question. | |
| May 25, 2013 at 10:25 | comment | added | Christian Stump | As I discuss in this answer to Vince Vatter's question, my bijection involves the "zeta map" sending the dinv statistic on Dyck paths to the area statistic. Observe that this map sends the number of up steps before the first down step to the number of touch points - thus, this might have something to do with your last paragraph. | |
| May 25, 2013 at 3:35 | comment | added | Gjergji Zaimi | This is a great question! :) | |
| May 25, 2013 at 3:22 | history | asked | David E Speyer | CC BY-SA 3.0 |