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

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, April 18, 2006, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Philipp Zumstein

Fourier Analysis in Computer Science and Combinatorics (Part I)

We will define Fourier Transformation of boolean functions on the discrete cube {0,1}^n. We will introduce the notion of "influence" of a variable on a boolean function, which has a nice representation in terms of the Fourier coefficients of the function.

We then sketch the prove of the KKL theorem (a central result about influences) and then show how this implies the sharp threshold theorem for monotone graph properties.

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