Standard

Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix. / Petrov, F. V.; Sokolov, V. V. .

в: Journal of Mathematical Sciences (United States), Том 224, № 2, 01.07.2017, стр. 339-344.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Petrov, FV & Sokolov, VV 2017, 'Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix', Journal of Mathematical Sciences (United States), Том. 224, № 2, стр. 339-344. https://doi.org/10.1007/s10958-017-3419-z

APA

Petrov, F. V., & Sokolov, V. V. (2017). Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix. Journal of Mathematical Sciences (United States), 224(2), 339-344. https://doi.org/10.1007/s10958-017-3419-z

Vancouver

Petrov FV, Sokolov VV. Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix. Journal of Mathematical Sciences (United States). 2017 Июль 1;224(2):339-344. https://doi.org/10.1007/s10958-017-3419-z

Author

Petrov, F. V. ; Sokolov, V. V. . / Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix. в: Journal of Mathematical Sciences (United States). 2017 ; Том 224, № 2. стр. 339-344.

BibTeX

@article{c77a8d0501294fb7a6e442372f1fad19,
title = "Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix",
abstract = "We study the Jordan normal form of an upper triangular matrix constructed from a random acyclic graph or a random poset. Some limit theorems and concentration results for the number and sizes of Jordan blocks are obtained. In particular, we study a linear algebraic analog of Ulam{\textquoteright}s longest increasing subsequence problem.",
author = "Petrov, {F. V.} and Sokolov, {V. V.}",
note = "Petrov, F.V., Sokolov, V.V. Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix. J Math Sci 224, 339–344 (2017). https://doi.org/10.1007/s10958-017-3419-z",
year = "2017",
month = jul,
day = "1",
doi = "10.1007/s10958-017-3419-z",
language = "English",
volume = "224",
pages = "339--344",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix

AU - Petrov, F. V.

AU - Sokolov, V. V.

N1 - Petrov, F.V., Sokolov, V.V. Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix. J Math Sci 224, 339–344 (2017). https://doi.org/10.1007/s10958-017-3419-z

PY - 2017/7/1

Y1 - 2017/7/1

N2 - We study the Jordan normal form of an upper triangular matrix constructed from a random acyclic graph or a random poset. Some limit theorems and concentration results for the number and sizes of Jordan blocks are obtained. In particular, we study a linear algebraic analog of Ulam’s longest increasing subsequence problem.

AB - We study the Jordan normal form of an upper triangular matrix constructed from a random acyclic graph or a random poset. Some limit theorems and concentration results for the number and sizes of Jordan blocks are obtained. In particular, we study a linear algebraic analog of Ulam’s longest increasing subsequence problem.

UR - http://www.scopus.com/inward/record.url?scp=85019661303&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3419-z

DO - 10.1007/s10958-017-3419-z

M3 - Article

AN - SCOPUS:85019661303

VL - 224

SP - 339

EP - 344

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 49850176