Pattern avoidance classes of parking permutations with fixed lucky sets

Start Date: October 15, 2026
End Date: October 15, 2026
Event Start Time: 5:25 PM
Event End Time: 5:48 PM
Seminar Type: Current Seminars
Seminar location:
https://sites.math.rutgers.edu/~zeilberg/expmath/

Zoom (see webpage for login information)
Seminar Series: Experimental Math Seminar
Presenter(s): Lucy Martinez, Rutgers University
Abstract:
In a parking function of length n, the order in which the cars park is called a parking permutation. For each parking function, cars that park in their preferred spot are called lucky cars. In this talk, we enumerate parking permutations that avoid a specified set of permutation patterns of length three and whose lucky cars are the first k cars. Often, the enumeration simplifies to just a fraction times a binomial coefficient. This is joint work with Melani Ferreri.

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