ملخص
We show that universality at the soft edge of the spectrum is equivalent to universality "along the diagonal," that is ratio asymptotics for Christoffel functions. The context is that of varying measures and limits involving the Airy kernel. In particular, we consider measures of the form, where Wn2n(x) dx, where {Wn} are a suitable sequence of weights. They do not need to be analytic, but instead should satisfy some hypotheses on the associated equilibrium measures.
اللغة الأصلية | الإنجليزيّة |
---|---|
الصفحات (من إلى) | 3006-3070 |
عدد الصفحات | 65 |
دورية | International Mathematics Research Notices |
مستوى الصوت | 2011 |
رقم الإصدار | 13 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | نُشِر - 2011 |
ملاحظة ببليوغرافية
Funding Information:tional Science Foundation grant 2008399.
Funding Information:
The work was supported by National Science Foundation grant DMS1001182 and US-Israel Bina-