arXiv subjects
Publications and source records attributed to Milan Pasteka.
In this paper a class of mappings on unit interval is constructed. These mapping preserve uniform distribution and theirs iterations form a sequence which is Buck uniformly distributed. In the third part some prorties of these mappings are proven.
In the first part we construct some Buck measurable sets. In the second part we apply the Niven theorem for Buck's measure density to certain sets.
The object of observation in present paper is statistical independence of real sequences and its description as independence with re spect to certain class of densities.
The paper deals with real valued sequences and its distribution on real line.
In the first part we associate a periodic sequence to a partition and study the connection the distribution of elements of uniform limit of the sequences. Then some facts of statistical independence of these limits are proved
We study certain polyadicly continuous sequences from point of view the probability theory.
A compact metric ring containing the set of positive integers as dense subset is studied. It is proven that tis ring is isomorph with a ring of reminder classes of ring of polyadic integers.
The paper deals with a generalisation of uniform distribution. The analogues of Weyl's criterion are derived.