1 citations · 3 across the 6 of their papers we have counts for
6 papers
The infinite dihedral group
Jānis Buls
We describe the infinite dihedral group as automaton group. We collect basic results and give full proofs in details for all statements.
The Lamplighter Group
Jānis Buls
We are following [4]. Nevertheless we are interested only in claryfication that the lamplighter group can be realized as a 2--states Mealy machine.
Machine
Jānis Buls
We construct map . It exhibits dense orbits for all . We give elementary proofs for all statements.
Automaton (Semi)groups (Basic Concepts)
Jānis Buls, Līga Užule, Aigars Valainis
In this paper, we give an introduction to basic concepts of automaton semigroups. While we must note that this paper does not contain new results, it is focused on extended introdu…
The adaptation of Shamir's protocol for increasing the security of a mobile environment
Jānis Buls, Imants Gorbans, Ivans Kulesovs +1
The aim of the paper is to provide a solution which increases the security of a mobile environment for both individuals and for workers in an enterprise. The proposed solution adap…
The Lattice of Machine Invariant Sets and Subword Complexity
Janis Buls
We investigate the lattice of machine invariant classes. This is an infinite completely distributive lattice but it is not a Boolean lattice. We show the subword complexity and the…