Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, June 09, 2015, 12:15 pm

**Duration**: 30 minutes

**Location**: CAB G51

**Speaker**: Jan Hazla

I will present a solution to the following problem:

Let S := {0, 1, 2}^n and let A be a subset of S such that |A| / |S| = mu. Sample a random vector X = (X_1, ..., X_n) uniformly from S. Sample another random vector Y = (Y_1, ..., Y_n) such that for each coordinate i independently Y_i is uniform in { X_i, X_i+1 (mod 3) }.

Show that Pr[ X in A and Y in A] >= f(mu) > 0, i.e., a lower bound that is independent of n.

I will explain the context of the problem and outline techniques needed to solve it.

Joint work with Thomas Holenstein and Elchanan Mossel.

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