Lower bounds for the Ruelle spectrum of analytic expanding circle maps

2016/05/20 by Bandtlow, Oscar, Naud, Frederic · 1 citation
#37C30 #37D20 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.06247

Abstract

We prove that there exists a dense set of analytic expanding maps of the circle for which the Ruelle eigenvalues enjoy exponential lower bounds. The proof combines potential theoretic techniques and explicit calculations for the spectrum of expanding Blaschke products.

Cited by

• Properties of resonant states for generic smooth expanding maps

Related

• Fractal Weyl law for skew extensions of expanding maps
• Spectral structure of transfer operators for expanding circle maps
• EDMD for expanding circle maps and their complex perturbations
• Rationality of the zeta function for Ruelle-expanding maps
• Unmarked spectral rigidity of expanding circle maps