A natural probability measure derived from Stern's diatomic sequence

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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