Special Session 89: DYNAMICS AND SPECTRA OF QUASIPERIODIC SCHRODINGER OPERATORS

Regularizing effect of randomness on quasiperiodic dynamics

Ao Cai
Soochow University
Peoples Rep of China
Co-Author(s):    Pedro Duarte and Silvius Klein
Abstract:
We prove that there is an instant enhancement on the regularity, i.e. from discontinuity to H\older continuity, of the Lyapunov exponent of quasiperiodic Schr\odinger operators when randomness is involved in. This is based on a long-term project joint with Pedro Duarte (ULisboa) and Silvius Klein (PUC-Rio).