7 citations · 8 across the 4 of their papers we have counts for
4 papers
Prefix palindromic length of the Sierpinski word
Dora V. Bulgakova, Anna E. Frid, Jérémy Scanvic
The prefix palindromic length of an infinite word is the minimal number of concatenated palindromes needed to express the prefix of length of $…
On balanced and abelian properties of circular words over a ternary alphabet
D. V. Bulgakova, N. Buzhinsky, Y. O. Goncharov
We revisit the question of classification of balanced circular words and focus on the case of a ternary alphabet. We propose a -dimensional generalisation of the discrete approx…
Normal form for the walled Brauer algebra: construction and applications
D. Bulgakova, Y. Goncharov, O. Ogievetsky
We construct a normal form for the walled Brauer algebra, together with the reduction algorithm. We apply normal form to calculate the numbers of monomials in generators with minim…
Fusion procedure for the walled Brauer algebra
D. V. Bulgakova, O. Ogievetsky
We establish two versions of the fusion procedure for the walled Brauer algebras. In each of them, a complete system of primitive pairwise orthogonal idempotents for the walled Hec…