Sergi Elizalde

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20242026

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math.CO2024

Pattern avoidance in nonnesting permutations

Sergi Elizalde, Amya Luo

Nonnesting permutations are permutations of the multiset ${1, 1, 2, 2, \dots, n, n}$ that avoid subsequences of the form $abba$ for any $a \neq = b$ . These permutations have recently been…

math.CO2024

Penney's game for permutations

Sergi Elizalde, Yixin Lin

We consider the permutation analogue of Penney's game for words. Two players, in order, each choose a permutation of length $k \geq 3$ ; then a sequence of independent random values fr…

math.CO2024

Canon permutations and generalized descents of standard Young tableaux

Sergi Elizalde

Canon permutations are permutations of the multiset having $k$ copies of each integer between $1$ and $n$ , with the property that the subsequences obtained by taking the $j$ th copy…