Timeline for equidistribution of the number of occurrences of a vincular pattern, and a simpler vincular pattern
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 12, 2018 at 23:18 | history | edited | FindStat | CC BY-SA 3.0 |
further refinement
|
| Jan 12, 2018 at 21:28 | history | edited | FindStat | CC BY-SA 3.0 |
provide a refinement
|
| Jan 12, 2018 at 9:02 | comment | added | Henning Arnór Úlfarsson | Just two notes: 1) Like you observe, a permutation has an occurrence of |1|23 if and only if it starts pi(1)<pi(2) and the number of occurrences are equal to the number of elements in pi that are larger than pi(2). 2) If you look at the other pattern then the number of occurrences are the number of non-inversions “appearing above” pi(1). I do not have much experience with the maps you use, so this is were I stop being of assistance, but I would start by looking at what the maps do with non-inversions, especially non-inversions “appearing above" pi(1). | |
| Jan 12, 2018 at 8:59 | history | edited | FindStat | CC BY-SA 3.0 |
emphasized the non-bijectiveness of one map, plus adding a formula for clarification
|
| Jan 12, 2018 at 8:46 | history | edited | FindStat | CC BY-SA 3.0 |
deleted 2 characters in body
|
| Jan 11, 2018 at 22:00 | history | asked | FindStat | CC BY-SA 3.0 |