Multivariate growth and cogrowth

Rostislav Grigorchuk, Jean-Francois Quint, Asif Shaikh

We investigate a multivariate growth series ${\Gamma }_L(\mathbf{z}),\mathbf{z}\in {\mathbb{C}}^d$ associated with a regular language $L$ over an alphabet of cardinality $d.$ Our focus is on lan…