2 papers
math.PR2025
Limit Theorems for Fixed Point Biased Pattern Avoiding Involutions
Jungeun Park, Douglas Rizzolo
We study fixed point biased involutions that avoid a pattern. For every pattern of length three we obtain limit theorems for the asymptotic distribution of the (appropriately cente…
math.PR2024
A Galton-Watson tree approach to local limits of permutations avoiding a pattern of length three
Jungeun Park, Douglas Rizzolo
We use local limits of Galton-Watson trees to establish local limit theorems for permutations conditioned to avoid a pattern of length three. In the case of 321-avoiding permutatio…