Year: 2013
Type: article
Abstract: We show that for any with | λ | < 1 there exists an analytic expanding circle map such that the eigenvalues of the associated transfer operator (acting on holomorphic functions) are precisely the non-negative powers of λ and . As a consequence we obtain a counterexample to a variant of a conjecture of Mayer on the reality of spectra of transfer operators.
Source: Nonlinearity
Authors: Julia Slipantschuk, Oscar F Bandtlow, Wolfram Just
Institution: Queen Mary University of London
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2038324401