Research output: Contribution to journal › Article › peer-review
Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix. / Petrov, F. V.; Sokolov, V. V. .
In: Journal of Mathematical Sciences (United States), Vol. 224, No. 2, 01.07.2017, p. 339-344.Research output: Contribution to journal › Article › peer-review
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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