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math.GR2026
Strong non-arithmeticity for Zariski dense subsemigroups
Ion Grama, Jean-François Quint, Hui Xiao
We prove a non-arithmeticity property for the complex eigenvalues of a Zariski dense subsemigroups of real reductive algebraic groups. This property will be used in [7] in order to…
math.GR2023
Multivariate growth and cogrowth
Rostislav Grigorchuk, Jean-Francois Quint, Asif Shaikh
We investigate a multivariate growth series associated with a regular language over an alphabet of cardinality Our focus is on lan…