|
This article is cited in 4 scientific papers (total in 4 papers)
Layers of the graph of $k$-fold iteration of the uniform random mapping
V. O. Mironkin National Research University Higher School of Economics, Moscow
Abstract:
The probabilistic characteristics of the graph of $k$-fold iteration of uniform random mapping are studied. Exact expressions and estimates for the distribution of the distances from the vertices to cycles are obtained. Formulas for expected values of the numbers of vertices on the given distance from cycles and for the distribution function of the height of a random vertex are derived.
Key words:
uniform random mapping, iteration of random mapping, graph of a mapping, layer in a graph, cyclic vertices.
Received 30.V.2016, 30.XI.2018
Citation:
V. O. Mironkin, “Layers of the graph of $k$-fold iteration of the uniform random mapping”, Mat. Vopr. Kriptogr., 10:1 (2019), 73–82
Linking options:
https://www.mathnet.ru/eng/mvk277https://doi.org/10.4213/mvk277 https://www.mathnet.ru/eng/mvk/v10/i1/p73
|
Statistics & downloads: |
Abstract page: | 346 | Full-text PDF : | 142 | References: | 43 | First page: | 7 |
|