Explicit A Priori Bounds on Transfer Operator Eigenvalues
نویسندگان
چکیده
منابع مشابه
Explicit a priori bounds on transfer operator eigenvalues
We provide explicit bounds on the eigenvalues of transfer operators defined in terms of holomorphic data. Linear operators of the form Lf = ∑ i∈I wi · f ◦ Ti, so-called transfer operators (see e.g. [Bal, Rue1, Rue2]), arise in a number of problems in dynamical systems. If the Ti are inverse branches of an expanding map T , and the weight functions wi are positive, the spectrum of L has well-kno...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2007
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-007-0355-7