Cover Image

The growth function of the adding machine

We compute the growth function of the generalized adding machine and show that its generating function is not algebraic.

Saved in:

Bibliographic Details
Date:	2018
Main Author:	Skochko, Volodymyr
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	automaton growth function adding machine 20M35 68Q70
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/328
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Similar Items

Investigations of Mealy automata growth at iterations
by: Reznykov, Illya I.
Published: (2018)

Partial actions and automata
by: Dokuchaev, M., et al.
Published: (2018)

Symmetries of automata
by: Egri-Nagy, Attila, et al.
Published: (2018)

Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet
by: Slupik, Janusz Konrad
Published: (2018)

On the orbits of automaton semigroups and groups
by: D'Angeli, D., et al.
Published: (2022)

On growth of the inverse semigroup of partially defined co–finite automorphisms of integers
by: Bezushchak, O.
Published: (2018)

Free products of semigroups defined by automata
by: Kochubinska, Eugenia, et al.
Published: (2025)

Non-contracting groups generated by (3,2)-automata
by: Davis, Nick, et al.
Published: (2018)

Groups of linear automata
by: Oliynyk, Andriy
Published: (2018)

Leavitt inverse semigroups of polynomial growth
by: Bezushchak, Dmytro I.
Published: (2024)

Finite groups as groups of automata with no cycles with exit
by: Russyev, Andriy
Published: (2018)

Generators and relations for the semigroups of increasing functions on \(\mathbb{N}\) and \(\mathbb{Z}\)
by: Doroshenko, Vadym
Published: (2018)

The word problem in Hanoi Towers groups
by: Bondarenko, Ievgen
Published: (2018)

Characterizing semigroups with commutative superextensions
by: Banakh, Taras, et al.
Published: (2018)

On monoids of monotone partial transformations of a finite chain whose domains and ranges are intervals
by: Ayık, Hayrullah, et al.
Published: (2025)

A virtually 2-step nilpotent group with polynomial geodesic growth
by: Bishop, A., et al.
Published: (2022)

Maximal subgroup growth of a few polycyclic groups
by: Kelley, A., et al.
Published: (2022)

Length functions for semigroup embeddings
by: Davis, Tara Colleen
Published: (2018)

\(\mathcal{H-}\),\(\mathcal{R-}\)and \(\mathcal{L-}\)cross-sections of the infinite symmetric inverse semigroup \(IS_X\)
by: Pyekhtyeryev, Vasyl
Published: (2018)

On mappings of terms determined by hypersubstitutions
by: Koppitz, Jorg, et al.
Published: (2018)

Generators and ranks in finite partial transformation semigroups
by: Garba, Goje Uba, et al.
Published: (2017)

On the condensation property of the Lamplighter groups and groups of intermediate growth
by: Benli, Mustafa Gökhan, et al.
Published: (2018)

Interassociativity and three-element doppelsemigroups
by: Gavrylkiv, Volodymyr, et al.
Published: (2020)

\(\mathcal{H}\)- and \(\mathcal{R}\)-cross-sections of the full finite semigroup \(T_n\)
by: Pyekhtyeryev, Vasyl
Published: (2018)

Sandwich semigroups and Brandt semigroups
by: Desiateryk, Oleksandra O., et al.
Published: (2024)

Endomorphisms of Clifford semigroups with injective structure homomorphisms
by: Worawiset, S., et al.
Published: (2021)

Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)
by: Pyekhtyeryev, Vasyl
Published: (2018)

On Galois groups of prime degree polynomials with complex roots
by: Ben-Shimol, Oz
Published: (2018)

Finitely presented quadratic algebras of~intermediate growth
by: Koçak, Dilber
Published: (2015)

Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree
by: Stronska, Anna
Published: (2018)

COMPARATIVE ANALYSIS OF TWO HIGH-SPEED SINGLE-PHASE ELECTRICAL MACHINES WITH PERMANENT MAGNETS ON THE STATOR
by: Prakht, V. A., et al.
Published: (2020)

Inverse semigroups generated by group congruences. The Möbius functions
by: Schwab, Emil Daniel
Published: (2018)

Length of the inverse symmetric semigroup
by: Ganyushkin, Olexandr, et al.
Published: (2018)

Normal form in Hecke-Kiselman monoids associated with simple oriented graphs
by: Aragona, R., et al.
Published: (2021)

Note on cyclic doppelsemigroups
by: Gavrylkiv, V.
Published: (2023)

Spectral properties of partial automorphisms of a binary rooted tree
by: Kochubinska, Eugenia
Published: (2019)

\(\mathscr{L}\)-cross-sections of the finite symmetric semigroup
by: Bondar, Eugenja
Published: (2018)

Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism
by: Bondar, Eugenija
Published: (2016)

Finite automaton actions of free products of groups
by: Fedorova, Mariia, et al.
Published: (2017)

Periodicity generated by adding machines
by: K. Kuperberg
Published: (2013)