Almost ballistic transport for the weakly coupled Fibonacci Hamiltonian
نویسندگان
چکیده
منابع مشابه
The Spectrum of the Weakly Coupled Fibonacci Hamiltonian
We consider the spectrum of the Fibonacci Hamiltonian for small values of the coupling constant. It is known that this set is a Cantor set of zero Lebesgue measure. Here we study the limit, as the value of the coupling constant approaches zero, of its thickness and its Hausdorff dimension. We announce the following results and explain some key ideas that go into their proofs. The thickness tend...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2014
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-014-1108-x