Junyao Pan

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20242026

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math.OA2025

Cuntz algebra automorphisms: transpositions

Junyao Pan

Permutative automorphisms of the Cuntz algebras $O_{n}$ are in bijection with the stable permutations of $[n]^{t}$ . They are also the elements of the reduced Weyl group of $A…

math.CO2025

On two conjectures about pattern avoidance of cyclic permutations

Junyao Pan

Let $π$ be a cyclic permutation that can be expressed in its one-line form as $π = π_{1} π_{2} \cdot \cdot \cdot π_{n}$ and in its standard cycle form as $π = (c_{1}, c_{2}, ..., c_{n})$ where $c_1=…