Scientific publications

Хворостянская Е.В., Чеплюкова И.А.

О распределении длин φ – примитивных идеалов случайного автоморфизма φ конечной булевой решетки

// Методы математич. моделирования и информационные технологии. Труды ИПМИ КарНЦ РАН. Вып. 8. Петрозаводск: КарНЦ РАН, 2007. C. 43-47

Khvorostyanskaya E.V., Cheplyukova L.A. On the distribution of the φ-primitive ideal's length of the random automorphism φ of a finite Boolean lattice // Methods of mathematical modeling and information technologies. Proceedings of the Institute of Applied Mathematical Research. Volume 8. Petrozavodsk: KarRC RAS, 2007. Pp. 43-47

We consider the set A_n,N of all automorphisms φ of a Boolean lattice with a length n such that the number of all φ-primitive ideals is equal to N. Let the uniform distribution be given on A_n,N. Limit theorems are obtained for the (N - p)-th length and the minimal length of the φ-primitive ideal of the automorphism φ ∈ A_n,N as p is fixed, p = 0,1,2,..., and n, N → ∞.

Last modified: December 25, 2008