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Simple examples of non-generating Girsanov processes

Jacob Feldman; Meir Smorodinsky — 1997

Séminaire de probabilités de Strasbourg

A $ℤ^{d}$ generalization of the Davenport-Erdős construction of normal numbers

Mordechay Levin; Meir Smorodinsky — 2000

Colloquium Mathematicae

We extend the Davenport and Erdős construction of normal numbers to the $ℤ^{d}$ case.

The modified, discrete Lévy transformation is Bernoulli

Lester E. Dubins; Meir Smorodinsky — 1992

Séminaire de probabilités de Strasbourg

On linear normal lattices configurations

Mordechay B. Levin; Meir Smorodinsky — 2005

Journal de Théorie des Nombres de Bordeaux

In this paper we extend Champernowne’s construction of normal numbers in base $b$ to the $ℤ^{d}$ case and obtain an explicit construction of the generic point of the $ℤ^{d}$ shift transformation of the set ${0, 1, . . ., b - 1}^{ℤ^{d}}$ . We prove that the intersection of the considered lattice configuration with an arbitrary line is a normal sequence in base $b$ .

Explicit construction of normal lattice configurations

Mordechay B. Levin; Meir Smorodinsky — 2005

Colloquium Mathematicae

We extend Champernowne’s construction of normal numbers to base b to the $ℤ^{d}$ case and obtain an explicit construction of a generic point of the $ℤ^{d}$ shift transformation of the set ${0, 1, . . ., b - 1}^{ℤ^{d}}$ .

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