Geodesic
A stochastic model of a~digit transfer by computing
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 4, pp. 417-423

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This paper describes a stochastic model of the digit transfer. The main characteristics of the transfer process are the number of transfers, a number of groups of consecutive transfers and a maximum number of consecutive transfers. Two binary numbers with a digit transfer form a triplet, and a sequence of these triplets generates a Markov chain. In our model the above-mentioned characteristics can be described by functionals on trajectories of this chain. They are: the number of events, the number of runs of these events and a maximum run length. These characteristics can be efficiently used for estimation of a computation speed. 
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     author = {L. Ya. Savelev and S. V. Balakin},
     title = {A stochastic model of a~digit transfer by computing},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {417--423},
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     year = {2012},
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L. Ya. Savelev; S. V. Balakin. A stochastic model of a~digit transfer by computing. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 4, pp. 417-423. http://geodesic.mathdoc.fr/item/SJVM_2012_15_4_a6/