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We present a new approach for counting trees, and we apply it to count multitype Cayley trees and to prove the multivariate Lagrange inversion formula. The gist of our approach is to exploit the symme...
Factor frequencies in languages invariant under more symmetries
Factor frequencies languages invariant Combinatorics
2011/8/24
Abstract: The number of frequencies of factors of length $n+1$ in a recurrent aperiodic infinite word does not exceed $3\Delta \C(n)$, where $\Delta \C (n)$ is the first difference of factor complexit...
Poisson algebras and symmetries of block-upper-triangular matrices
Poisson algebras symmetries of block-upper-triangular matrices
2011/2/25
Using the structure of algebroid of block-upper-triangular matri-ces composed from blocks of size m×m we obtain the Poisson brackets on the entries of these matrices and construct the braid-group acti...