Article Contents
Article Contents

# The Ruelle spectrum of generic transfer operators

• We define a natural space of transfer operators related to holomorphic contraction systems. We show that the classical upper bounds on the Ruelle eigenvalue sequence are optimal for a dense set of transfer operators. A similar statement is derived for Perron-Frobenius operators related to uniformly expanding piecewise real analytic interval maps. The proof is based on potential theory.
Mathematics Subject Classification: 37C30, 37D20.

 Citation:

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