Control sets and total positivity

Víctor Ayala; Wolfgang Kliemann; Luiz A.B. San Martin

doi:10.1007/s00233-004-0102-8

Control sets and total positivity

Víctor Ayala
, Wolfgang Kliemann
, Luiz A.B. San Martin

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

The objective of this article is to bring together two different mathematical subjects, namely totally positive matrices and control sets. It describes the control sets of the totally positive matrices and the sign-regular matrices in flag manifolds. In particular, the classical result by Gantmacher and Krein, follows from Theorem 9.7. One expects that with this description some theorems proved by combinatorial techniques have a geometric or dynamic interpretation.

Idioma original	Inglés
Páginas (desde-hasta)	113-140
Número de páginas	28
Publicación	Semigroup Forum
Volumen	69
N.º	1
DOI	https://doi.org/10.1007/s00233-004-0102-8
Estado	Publicada - jul. 2004
Publicado de forma externa	Sí

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title = "Control sets and total positivity",

abstract = "The objective of this article is to bring together two different mathematical subjects, namely totally positive matrices and control sets. It describes the control sets of the totally positive matrices and the sign-regular matrices in flag manifolds. In particular, the classical result by Gantmacher and Krein, follows from Theorem 9.7. One expects that with this description some theorems proved by combinatorial techniques have a geometric or dynamic interpretation.",

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author = "V{\'i}ctor Ayala and Wolfgang Kliemann and \{San Martin\}, \{Luiz A.B.\}",

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AU - Ayala, Víctor

AU - Kliemann, Wolfgang

AU - San Martin, Luiz A.B.

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AB - The objective of this article is to bring together two different mathematical subjects, namely totally positive matrices and control sets. It describes the control sets of the totally positive matrices and the sign-regular matrices in flag manifolds. In particular, the classical result by Gantmacher and Krein, follows from Theorem 9.7. One expects that with this description some theorems proved by combinatorial techniques have a geometric or dynamic interpretation.

KW - Control sets

KW - Flag manifolds

KW - Semigroups

KW - Totally positive matrices

UR - https://www.scopus.com/pages/publications/3142777328

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DO - 10.1007/s00233-004-0102-8

M3 - Article

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JO - Semigroup Forum

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Control sets and total positivity

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