MATH Seminar
| Title: Ramsey and density results for approximate arithmetic progressions. |
|---|
| Seminar: Combinatorics |
| Speaker: Marcelo Sales of UC Irvine |
| Contact: Cosmin Pohoata, cosmin.pohoata@emory.edu |
| Date: 2024-02-23 at 4:00PM |
| Venue: MSC W201 |
| Download Flyer |
| Abstract: Let AP_k={a,a+d,\ldots,a+(k-1)d} be an arithmetic progression of length k. For a given epsilon>0, we call a set AP_k(epsilon)={x_0,…,x_{k-1}} an epsilon-approximate arithmetic progression of lenght k for some a and d, if the inequality |x_i-(a+id)|<\epsilon d holds for all i in {0,1,...,k-1}. In this talk we discuss numerical aspects of Van der Waerden and Szemeredi type of results in which arithmetic progressions are replaced by their epsilon-approximation. Joint work with Vojtech Rodl. |
See All Seminars