Holomorphic functions and Hausdorff dimension
نویسندگان
چکیده
منابع مشابه
Hausdorff dimension, anyonic distribution functions and duality
We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, h and as an example of such anyonic systems, we consider the collective excitations of the Fractional Quantum Hall Effect ( FQHE ). We also introduce the concept of duality between such classes, defined by h̃ = 3 − h. In this way, we confirm that the filling factors fo...
متن کاملHausdorff dimension and anyonic distribution functions
We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, h and as an example of such anyonic systems, we consider the collective excitations of the Fractional Quantum Hall Effect ( FQHE ). PACS numbers: 05.30.-d, 05.70Ge
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For 0 < a < 1, let/a(x) = 2,1,2~ Ri(x) for 0 s$ x < 1, where {#,}£, is the sequence of Rademacher functions. We give a class of fa so that their graphs have Hausdorff dimension 2 —a. The result is closely related to the corresponding unsolved question for the Weierstrass functions.
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 1967
ISSN: 0004-2080
DOI: 10.1007/bf02591675