most citedThe Battery-Discharge-Model: A Class of Stochastic Finite Automata to Simulate Multidimensional Continued Fraction Expansion

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math.NT2007★ 2 cited

Moments for generalized Farey-Brocot partitions

Nikolai Moshchevitin, Michael Vielhaber

We generalize the Farey-Brocot partition to a twodimensional continued fraction algorithm and generalized Farey-Brocot nets. We give an asymptotic formula for the moments of order…

math.NT2007★ 1 cited

On an Improvement of a Result by Niederreiter and Wang Concerning the Expected Linear Complexity of Multisequences

Nikolai Moshchevitin, Michael Vielhaber

We show that the expected value for the linear complexity of -multisequences of length is E_n^{(m)} = n m/(m+1) + O(1).