Displaying similar documents to “Two parameter extension of an observation of Poincaré”

Central limit theorem for Hölder processes on ℝ m -unit cube

Jana Klicnarová (2007)

Commentationes Mathematicae Universitatis Carolinae

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We consider a sequence of stochastic processes ( X n ( 𝐭 ) , 𝐭 ∈ [ 0 , 1 ] m ) with continuous trajectories and we show conditions for the tightness of the sequence in the Hölder space with a parameter γ .

On the number of iterations required by Von Neumann addition

Rudolf Grübel, Anke Reimers (2001)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We investigate the number of iterations needed by an addition algorithm due to Burks et al. if the input is random. Several authors have obtained results on the average case behaviour, mainly using analytic techniques based on generating functions. Here we take a more probabilistic view which leads to a limit theorem for the distribution of the random number of steps required by the algorithm and also helps to explain the limiting logarithmic periodicity as a simple discretization phenomenon. ...