University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Wegner estimate for the random breather model

Wegner estimate for the random breather model

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  • UserMatthias Taeufer, Queen Mary University (London)
  • ClockMonday 21 January 2019, 15:00-16:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

We prove a Wegner estimate for the random breather model: a class of random Schrödinger operators where the potential consists of a sum of random dilations of a single-site potential u at each lattice site. The random breather model is an example of a random Schrödinger operator where the potential depends in a non-linear manner on elementary random variables. One main ingredient in the proof are lower estimates on the sensitivity of eigenvalues with respect to certain perturbations which themselves follow from recent quantitative unique continuation principles for spectral projectors of Schrödinger operators. Together with initial scale estimates we conclude Anderson localization for this model at the bottom of the spectrum. Based on joint work with I. Nakic (Zagreb), M. Tautenhahn (Chemnitz), and I. Veselić (Dortmund).

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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