The essential spectrum of the transfer operator for expanding markov maps of the interval is studied in detail. To this end we construct explicitly an infinite set of eigenfunctions which allows us to prove that the essential spectrum in C_k is a disk whose radius is related to the free energy of the Liapunov exponent.
On the essential spectrum of the transfer operator for expanding markov maps
ISOLA, Stefano
1991-01-01
Abstract
The essential spectrum of the transfer operator for expanding markov maps of the interval is studied in detail. To this end we construct explicitly an infinite set of eigenfunctions which allows us to prove that the essential spectrum in C_k is a disk whose radius is related to the free energy of the Liapunov exponent.File in questo prodotto:
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