Asif Shaikh

activity

20152023

collaborators

4 papers

math.GR2023

Multivariate growth and cogrowth

Rostislav Grigorchuk, Jean-Francois Quint, Asif Shaikh

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

math.GR2021

Finitely generated subgroups of free groups as formal languages and their cogrowth

Arman Darbinyan, Rostislav Grigorchuk, Asif Shaikh

For finitely generated subgroups $H$ of a free group $F_{m}$ of finite rank $m$ , we study the language $L_{H}$ of reduced words that represent $H$ which is a regular language. Using th…

math.CO2017

Galois coverings of Schreier graphs of groups generated by bounded automata

Asif Shaikh, Daniele D'Angeli, Hemant Bhate +1

We give a characterization of the covering Schreier graphs of groups generated by bounded automata to be Galois. We also investigate the zeta and L functions of Schreier graphs of…

math.GR2015

Zeta functions of finite Schreier graphs and their zig zag products

Asif Shaikh, Hemant Bhate

We investigate the Ihara zeta functions of finite Schreier graphs $Γ_{n}$ of the Basilica group. We show that $Γ_{1 + n}$ is $2$ sheeted unramified normal covering of $Γ_n, ~\forall~ n…