preprint-author: 
E. deFaria
preprint-title: 
Asymptotic Rigidity of Scaling Ratios for Critical Circle Mappings
preprint-abstract: 

In this paper we establish $C^2$ a-priori bounds for the scaling ratios of critical circle mappings in a form that gives also a compactness property for the renormalization operator.

preprint-year: 
1996