33 citations · 97 across the 33 of their papers we have counts for
6 papers · 1 filter
Groups generated by 3-state automata over a 2-letter alphabet, I
Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko +4
An approach to a classification of groups generated by 3-state automata over a 2-letter alphabet and the current progress in this direction are presented. Several results related t…
Tree morphisms, transducers, and integer sequences
Zoran Sunic
The notion of transducer integer sequences is considered through a series of examples. By definition, transducer integer sequences are integer sequences produced, under a suitable…
Frobenius Problem and dead ends in integers
Zoran Sunic
Let a and b be positive, relatively prime integers. We show that the following are equivalent: (i) d is a dead end in the (symmetric) Cayley graph of Z with respect to a and b, (ii…
Hausdorff dimension in a family of self-similar groups
Zoran Sunic
For each prime p and a monic polynomial f, invertible over p, we define a group G_{p,f} of p-adic automorphisms of the p-ary rooted tree. The groups are modeled after the first Gri…
Construction of elements in the closure of Grigorchuk group
Goulnara Arzhantseva, Zoran Sunic
We describe constraints that need to be satisfied ``near the top'' of the portraits of the elements in Grigorchuk group. These constraints, if satisfied by the portraits of all sec…
Tamari lattices, forests and Thompson monoids
Zoran Sunic
A connection relating Tamari lattices on symmetric groups regarded as lattices under the weak Bruhat order to the positive monoid P of Thompson group F is presented. Tamari congrue…