Cover Image

Group of continuous transformations of real interval preserving tails of G₂-representation of numbers

In the paper, we consider a two-symbol system of encoding for real numbers with two bases having different signs g₀ < 1 and g₁ = g₀ − 1. Transformations (bijections of the set to itself) of interval [0, g₀] preserving tails of this representation of numbers are studied. We prove constructively th...

Full description

Saved in:

Bibliographic Details
Published in:	Algebra and Discrete Mathematics
Date:	2020
Main Authors:	Pratsiovytyi, M.V., Lysenko, I.M., Maslova, Yu.P.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2020
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/188505
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	Group of continuous transformations of real interval preserving tails of G₂-representation of numbers / M.V. Pratsiovytyi, I.M. Lysenko, Yu.P. Maslova // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 99–108. — Бібліогр.: 10 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

Transformations of (0,1] preserving tails of Δμ-representation of numbers
by: Isaieva, T.M., et al.
Published: (2016)

Transformations of \((0,1]\) preserving tails of \(\Delta^{\mu}\)-representation of numbers
by: Isaieva, Tetiana M., et al.
Published: (2016)

$A_2$-continued fraction representation of real numbers and its geometry
by: Dmytrenko, S. O., et al.
Published: (2009)

Finite $A_2$-continued fractions in the problems of rational approximations of real numbers:
by: Pratsiovytyi, M., et al.
Published: (2023)

A group of continuous transformations of a region |0; 1| that preserve the frequency of the digits in Qs-representation of a number
by: Yu. Osaulenko
Published: (2016)

The formulas for real and imaginary parts of tails of approximants for branched continued fractions of the special form
by: T. M. Antonova, et al.
Published: (2019)

Self-Affine Singular and Nowhere Monotone Functions Related to the Q-Representation of Real Numbers
by: Kalashnikov, A. V., et al.
Published: (2013)

Finite A2-continued fractions in the problems of rational approximations of real numbers
by: M. Pratsovytyy̆, et al.
Published: (2023)

Continuation of Teplitz forms preserving the number of positive squares
by: Iоkhvіdоv, I. S., et al.
Published: (1966)

A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers
by: Kadets, M. I., et al.
Published: (1997)

Gauss – Kuzmin problem for the difference Engel-series representation of real numbers
by: M. P. Moroz
Published: (2022)

Gauss–Kuzmin problem for the difference Engel-series representation of real numbers
by: Moroz , M. P., et al.
Published: (2022)

Analysis of the dependence of the number of allocated systems of lineaments on the grouping interval width
by: Ja. Khodorovskij, et al.
Published: (2014)

Non-Differentiable Functions Defined in Terms of Classical Representations of Real Numbers
by: Serbenyuk, S.O.
Published: (2018)

Non-Dierentiable Functions Dened in Terms of Classical Representations of Real Numbers
by: S. O. Serbenyuk
Published: (2018)

Self-Affine Singular and Nowhere Monotone Functions Related to the Q-Representation of Real Numbers
by: M. V. Pratsovytyi, et al.
Published: (2013)

Application of the entropic coefficient for interval number optimization during interval assessment
by: A. N. Tynynyka
Published: (2017)

Unimodal cycles of continuous imaging of an interval
by: V. H. Samoy̆lenko, et al.
Published: (2014)

Topological and metric properties of sets of real numbers with conditions on their expansions in Ostrogradskii series
by: Baranovskyi, O. M., et al.
Published: (2007)

Singularity of the digit inversor in Q₃-representation of the fractional part of a real number, its fractal and integral properties
by: I. V. Zamrii, et al.
Published: (2015)

Modeling of the signal propagation in real systems with finite interval and absorption
by: Ju. G. Krivonos, et al.
Published: (2016)

Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers
by: S. O. Serbenyuk
Published: (2017)

Singular Probability Distributions and Fractal Properties of Sets of Real Numbers Defined by the Asymptotic Frequencies of Their s-Adic Digits
by: Pratsiovytyi, M. V., et al.
Published: (2005)

Pseudoanalyticity of continuous functions with the ?-preservation of angles
by: Bondar, A. V., et al.
Published: (1993)

Frequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the Digits
by: Klymchuk, S. O., et al.
Published: (2014)

Social Behavior of Captive Black-Tailed Prairie Dogs (Mammalia, Rodentia) with Changing Numbers of Observers
by: Eltorai, A.E.M., et al.
Published: (2011)

Social Behavior of Captive Black-Tailed Prairie Dogs (Mammalia, Rodentia) with Changing Numbers of Observers
by: A. E.M. Eltorai, et al.
Published: (2011)

Uniqueness and topological properties of number representation
by: Dovgoshey, O., et al.
Published: (2004)

On number of indecomposable modular representations of cyclic p-group over finite local ring
by: O. A. Tylyshchak
Published: (2018)

Expansions of numbers in positive Lüroth series and their applications to metric, probabilistic and fractal theories of numbers
by: Zhykharyeva, Yu., et al.
Published: (2012)

Dynamics of neighborhoods of points under a continuous mapping of an interval
by: Romanenko, Ye. Yu., et al.
Published: (2005)

Expansions of numbers in positive L.uroth series and their applications to metric, probabilistic and fractal theories of numbers
by: Yu. Zhykharyeva, et al.
Published: (2012)

Dense subgroups in the group of interval exchange transformations
by: Bier, A., et al.
Published: (2014)

Dense subgroups in the group of interval exchange transformations
by: A. Bier, et al.
Published: (2014)

On M. G. Krein's works in the theory of representations and harmonic analysis on topological groups
by: Vainerman, L. I., et al.
Published: (1994)

The invariance of current energy Fourier spectrum of discrete real signals on finite intervals
by: V. A. Ponomarev, et al.
Published: (2014)

On number of indecomposable modular representations of cyclic p-group over local ring of finite length
by: O. A. Tylyshchak
Published: (2019)

Normal properties of numbers in the terms of their representation by the Perron series
by: M. Moroz
Published: (2023)

On the representation of continuous positively definite nuclei
by: Chaus, N. N., et al.
Published: (1966)

Normal properties of numbers in the terms of their representation by the Perron series
by: Moroz, M., et al.
Published: (2023)