Geodesic
The estimate of the convergence rate to the uniform distribution for products of elements of finite group controlled by a Markov chain
Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 1, pp. 85-94 
I. A. Kruglov. The estimate of the convergence rate to the uniform distribution for products of elements of finite group controlled by a Markov chain. Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 1, pp. 85-94. http://geodesic.mathdoc.fr/item/MVK_2014_5_1_a4/
@article{MVK_2014_5_1_a4,
     author = {I. A. Kruglov},
     title = {The estimate of the convergence rate to the uniform distribution for products of elements of finite group controlled by {a~Markov} chain},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {85--94},
     year = {2014},
     volume = {5},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2014_5_1_a4/}
}
TY  - JOUR
AU  - I. A. Kruglov
TI  - The estimate of the convergence rate to the uniform distribution for products of elements of finite group controlled by a Markov chain
JO  - Matematičeskie voprosy kriptografii
PY  - 2014
SP  - 85
EP  - 94
VL  - 5
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MVK_2014_5_1_a4/
LA  - ru
ID  - MVK_2014_5_1_a4
ER  - 
%0 Journal Article
%A I. A. Kruglov
%T The estimate of the convergence rate to the uniform distribution for products of elements of finite group controlled by a Markov chain
%J Matematičeskie voprosy kriptografii
%D 2014
%P 85-94
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/MVK_2014_5_1_a4/
%G ru
%F MVK_2014_5_1_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

For products of random substitutions controlled by a Markov chain we obtain an upper bound for the mean-square deviation of transition matrices corresponding to these products from the stochastic matrix with equal elements.

[1] Gorchinskii Yu. N., Kruglov I. A., Kapitonov V. M., “Voprosy teorii raspredelenii na konechnykh gruppakh”, Trudy po diskretnoi matematike, 1, 1997, 85–112 | MR | Zbl

[2] Kruglov I. A., “Otsenka srednekvadraticheskogo ukloneniya ot ravnoveroyatnoi matritsy dlya matrits perekhodnykh veroyatnostei proizvedenii sluchainykh velichin so znacheniyami v konechnykh gruppakh, raspredeleniya kotorykh opredelyayutsya tsepyu Markova”, Obozr. prikl. i promyshl. matem., 13:3 (2006), 507–509 | MR

[3] Sachkov V. N., “Veroyatnostnye preobrazovateli i pravilnye multigrafy. 1”, Trudy po diskretnoi matematike, 1, 1997, 227–250 | MR | Zbl

[4] Gorchinskii Yu. N., Kapitonov V. M., “O srednikh kvadraticheskikh ukloneniyakh v strokakh matrits perekhodnykh veroyatnostei na konechnykh gruppakh podstanovok”, Trudy po diskretnoi matematike, 2, 1998, 88–100 | MR | Zbl

[5] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988 | MR | Zbl

[6] Kruglov I. A., “Printsip skhodimosti B. M. Klossa dlya proizvedenii sluchainykh velichin so znacheniyami v kompaktnoi gruppe, raspredeleniya kotorykh opredelyayutsya tsepyu Markova”, Diskretnaya matematika, 20:1 (2008), 38–51 | DOI | MR | Zbl