Analytic expanding circle maps with explicit spectra
نویسندگان
چکیده
منابع مشابه
Analytic Expanding Circle Maps with Explicit Spectra
We show that for any λ ∈ C 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 nonnegative powers of λ and λ. As a consequence we obtain a counterexample to a variant of a conjecture of Mayer on the reality of spectra of transfer operators.
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2013
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/26/12/3231