On transformations of probability distributions by read-once quasigroup formulae
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A. D. Yashunskii
Abstract
- We investigate distributions of values of read-once quasigroup formulae when the variables are replaced by random independent identically distributed elements of the quasigroup. For general read-once formulae of increasing complexity or depth conditions under which of the distributions of values of the formulae converge to the uniform distribution are put forward, and weaker conditions for the convergence ‘in the mean’ is proved also.
This research was carried out with the financial support of the Russian Foundation for Basic Research (grant no. 11-01-00508) and by the Programme of the Division of Mathematics Sciences of the Russian Academy of Sciences “Algebraic and Combinatorial Methods of Mathematical and New Generation of Information Systems” (the project “Problems of Optimal Synthesis of Control Systems”).
© 2013 by Walter de Gruyter GmbH & Co.
Articles in the same Issue
- Masthead
- On the solvability of the equational theory of commutative medial n-ary groupoids
- Estimating the stability radius of the vector MAX-CUT problem
- Statistical estimation of parameters for binary Markov chain models with embeddings
- A simplified proof of a lower complexity estimate
- Finite groups with nilpotent and Hall subgroups
- Implementing the multiplication of polynomial matrices over the field GF(2) by means of the fast Fourier transform
- The number of differences in groups of prime order
- Characteristic submodules of injective modules
- On transformations of probability distributions by read-once quasigroup formulae
Articles in the same Issue
- Masthead
- On the solvability of the equational theory of commutative medial n-ary groupoids
- Estimating the stability radius of the vector MAX-CUT problem
- Statistical estimation of parameters for binary Markov chain models with embeddings
- A simplified proof of a lower complexity estimate
- Finite groups with nilpotent and Hall subgroups
- Implementing the multiplication of polynomial matrices over the field GF(2) by means of the fast Fourier transform
- The number of differences in groups of prime order
- Characteristic submodules of injective modules
- On transformations of probability distributions by read-once quasigroup formulae
