- Title
- A natural probability measure derived from Stern's diatomic sequence
- Creator
- Baake, Michael; Coons, Michael
- Relation
- Acta Arithmetica Vol. 183, Issue 1, p. 87-99
- Publisher Link
- http://dx.doi.org/10.4064/aa170709-22-1
- Publisher
- Polska Akademia Nauk
- Resource Type
- journal article
- Date
- 2018
- Description
- Stern’s diatomic sequence with its intrinsic repetition and refinement structure between consecutive powers of 2 gives rise to a rather natural probability measure on the unit interval. We construct this measure and show that it is purely singular continuous, with a strictly increasing, Hölder continuous distribution function. Moreover, we relate this function with the solution of the dilation equation for Stern’s diatomic sequence.
- Subject
- Stern; Hölder; diatomic sequence
- Identifier
- http://hdl.handle.net/1959.13/1451117
- Identifier
- uon:44095
- Identifier
- ISSN:0065-1036
- Language
- eng
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