QUANTUM CHAOS ON GRAPHS: COMBINATORICS, RANDOM MATRIX THEORY AND RANDOM WAVES
9.01.12, 12:00
Room 426/8
The spectrum and eigenvectors of the discrete Shroedinger operator on regular graphs display many features which are typical of quantum systems with a chaotic classical dynamics. In this talk I shall describe the findings, compare them to the predictions of random matrix theory and random wave models, and explain their combinatorial origin. No knowledge of graph theory is required.
Room 426/8
The spectrum and eigenvectors of the discrete Shroedinger operator on regular graphs display many features which are typical of quantum systems with a chaotic classical dynamics. In this talk I shall describe the findings, compare them to the predictions of random matrix theory and random wave models, and explain their combinatorial origin. No knowledge of graph theory is required. 
