Ergodic Jacobi matrices and conformal maps

Details Ergodic Jacobi matrices and conformal maps Ergodic Jacobi matrices and conformal maps

2011-08-26

arxiv.org/abs/1108.5370v1

Mathematics

Spectral Theory

Scientific paper

We study structural properties of the Lyapunov exponent $\gamma$ and the density of states $k$ for ergodic (or just invariant) Jacobi matrices in a general framework. In this analysis, a central role is played by the function $w=-\gamma+i\pi k$ as a conformal map between certain domains. This idea goes back to Marchenko and Ostrovskii, who used this device in their analysis of the periodic problem.

Affiliated with

Also associated with

No associations

Rating

Ergodic Jacobi matrices and conformal maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ergodic Jacobi matrices and conformal maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ergodic Jacobi matrices and conformal maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-502901