Random recursive construction of Salem sets

Christian Bluhm

doi:10.1007/BF02559506

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Home > Journals > Ark. Mat. > Volume 34 > Issue 1 > Article

March 1996 Random recursive construction of Salem sets

Christian Bluhm

Author Affiliations +

Christian Bluhm¹
¹Mathematisches Institut, Friedrich-Alexander-Universität Erlangen-Nürnberg

Ark. Mat. 34(1): 51-63 (March 1996). DOI: 10.1007/BF02559506

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Abstract

We introduce a random recursive method for constructing random Salem sets in R^d. The method is inspired by Salem's construction [13] of certain signular monotonic functions.

Note

This work contains parts of the author's forthcoming doctoral thesis [2] which were presented at the Conference on Harmonic Analysis from the Pichorides Viewpoint in Anogia Academic Village on Crete in July 1995.