×

Recursive self-similar partitions. (Russian) Zbl 1116.11060

The author derives recursive formulas for partitions of the interval \([0,1)\) generated by a special branching process. For related work, see the author [Zap. Nauchn. Semin. POMI 302, 81–95 (2003); English translation in J. Math. Sci., New York 129, No. 3, 3860–3867 (2005)].

MSC:

11K60 Diophantine approximation in probabilistic number theory
11J04 Homogeneous approximation to one number