### Localization for the quasi 1D operators

- Series
- Math Physics Seminar
- Time
- Friday, September 27, 2013 - 16:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Stanislav Molchanov – UNC Charlotte – smolchan@uncc.edu

The talk will present several recent results on the singular
and pure point spectra for the (random or non-random) Schrӧdinger
operators on the graphs or the Riemannian manifolds of the “small dimensions”.
The common feature of all these results is the existence in the potential of
the infinite system of the “bad conducting blocks”, for instance, the
increasing potential barriers (non-percolating potentials). The central idea of
such results goes to the classical paper by Simon and Spencer.
The particular examples will include the random Schrӧdinger
operators in the tube (or the surface of the cylinder),
Sierpinski lattice etc.