7 citations · 23 across the 8 of their papers we have counts for
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math.CO2015★ 1 cited
Variance and Covariance of Several Simultaneous Outputs of a Markov Chain
Sara Kropf
The partial sum of the states of a Markov chain or more generally a Markov source is asymptotically normally distributed under suitable conditions. One of these conditions is that…
math.CO2015★ 2 cited
Analysis of Carries in Signed Digit Expansions
Clemens Heuberger, Sara Kropf, Helmut Prodinger
The number of positive and negative carries in the addition of two independent random signed digit expansions of given length is analyzed asymptotically for the -system and…
math.CO2015
Output sum of transducers: Limiting distribution and periodic fluctuation
Clemens Heuberger, Sara Kropf, Helmut Prodinger
As a generalization of the sum of digits function and other digital sequences, sequences defined as the sum of the output of a transducer are asymptotically analyzed. The input of…