Geodesic
Generalization and unification of the concepts of remainder of division and fractional part, maximization of entropy of fractional part of convolution with uniform distribution
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2022), pp. 45-52

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The article considers the issue of preserving the information property of convolution with canonical uniform distribution in the cases of arbitrary finite lattice and arbitrary segment. For this purpose, the generalization and the unification of the concepts of remainder of division and fractional part are proposed.
Mots-clés : convolution, fractional part
Keywords: uniform distribution, entropy. 
@article{VTPMK_2022_1_a3,
     author = {A. E. Kondratenko and V. N. Sobolev},
     title = {Generalization and unification of the concepts of remainder of division and fractional part, maximization of entropy of fractional part of convolution with uniform distribution},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {45--52},
     publisher = {mathdoc},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2022_1_a3/}
}
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A. E. Kondratenko; V. N. Sobolev. Generalization and unification of the concepts of remainder of division and fractional part, maximization of entropy of fractional part of convolution with uniform distribution. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2022), pp. 45-52. http://geodesic.mathdoc.fr/item/VTPMK_2022_1_a3/