On the Proof of Universality for Orthogonal and Symplectic Ensembles in Random Matrix Theory
โ Scribed by Ovidiu Costin; Percy Deift; Dimitri Gioev
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 214 KB
- Volume
- 129
- Category
- Article
- ISSN
- 0022-4715
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider asymptotics for orthogonal polynomials with respect to varying exponential weights w n (x)dx = e -nV (x) dx on the line as n โ โ. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the
Variousfeatures of synchrotron-Cerenkovradiationare illustrated in thecontextof the following situations: (1) the passage of high-energy electrons through gases, liquids, solids, and plasmas in the presence of magnetic fields; (2) the suppression of synchrotron X rays from high-energy electrons in t