Faculty Sponsor

Lara Pudwell

College

Arts and Sciences

Department/Program

Mathematics and Statistics

ORCID Identifier(s)

https://orcid.org/0000-0003-2445-3920 https://orcid.org/0000-0001-9001-6492 https://orcid.org/0000-0003-3910-7705

Document Type

Poster Presentation

Symposium Date

Summer 7-30-2018

Abstract

Interesting patterns are everywhere we look, but what happens when we try to avoid patterns? A permutation is a list of numbers in a specific order. When we avoid a pattern, we try not to order those numbers in certain ways. For example, the permutation 45312 avoids the 123 pattern because no three elements in the permutation are in an increasing order. In our work, we studied the permutations that avoid two different patterns of length three. We focused on the distribution of peaks, valleys, double ascents, and double descents over these sets of permutations.

Biographical Information about Author(s)

Nicholas Lewandowski is a junior math and secondary education double major, Jacob Roth is a junior math and computer science double major, and Teresa Wheeland is a junior math and secondary education double major,

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