Dynamical lower bounds for 1D Dirac operators
✍ Scribed by Roberto A. Prado; César R. de Oliveira
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- French
- Weight
- 248 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0025-5874
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## Abstract The Dirac operators equation image with __L__^2^‐potentials equation image considered on [0, π] with periodic, antiperiodic or Dirichlet boundary conditions (__bc__), have discrete spectra, and the Riesz projections equation image are well‐defined for |__n__ | ≥ __N__ if __N__ is
We consider the sums Z'"' of i.i.d. random vectors taking values in a &dimensional Euclidean space. It is assumed that the so-called CRAMER condition holds in a neighbourhood of the origin. We establish lower bounds for the large deviation probabilities P(Z("' $ A ) with A belonging to a large class