Simple examples of non-generating Girsanov processes
A generalization of the Davenport-Erdős construction of normal numbers
We extend the Davenport and Erdős construction of normal numbers to the case.
The modified, discrete Lévy transformation is Bernoulli
On linear normal lattices configurations
In this paper we extend Champernowne’s construction of normal numbers in base to the case and obtain an explicit construction of the generic point of the shift transformation of the set . We prove that the intersection of the considered lattice configuration with an arbitrary line is a normal sequence in base .
Explicit construction of normal lattice configurations
We extend Champernowne’s construction of normal numbers to base b to the case and obtain an explicit construction of a generic point of the shift transformation of the set .
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