2008/05/28 by Alexei Poltoratski, Poltoratski, Alexei, Christian Remling +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #31A20 #34L40 #81Q10 #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.0805.4439
openalex publication_date 2008/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study several related aspects of reflectionless Jacobi matrices. Our first set of results deals with the singular part of reflectionless measures. We then introduce and discuss Lyapunov exponents, density of states measures, and other related quantities in a general setting. This is related to the previous material because the density of states measures are reflectionless on certain sets.