36 citations · 36 across the 4 of their papers we have counts for
4 papers
Shannon Weights for binary dynamical recurrent sources of zero entropy
Ali Akhavi, Eda Cesaratto, Frédéric Paccaut +2
A probabilistic source is defined as the set of infinite words (over a given denumerable alphabet) endowed with a probability . The paper deals with general binary sources where…
On the Finiteness Problem for Automaton (Semi)groups
Ali Akhavi, Ines Klimann, Sylvain Lombardy +2
This paper addresses a decision problem highlighted by Grigorchuk, Nekrashevich, and Sushchanskii, namely the finiteness problem for automaton (semi)groups. For semigroups, we give…
Another view of the Gaussian algorithm
Ali Akhavi, Céline Moreira
We introduce here a rewrite system in the group of unimodular matrices, \emph{i.e.}, matrices with integer entries and with determinant equal to . We use this rewrite system…
On the reduction of a random basis
Ali Akhavi, Jean-François Marckert, Alain Rouault
For , let be independent vectors in with a common distribution invariant by rotation. Considering these vectors as a basis for the…