Total positivity, Grassmannian and modified Bessel functions
Abstract
A rectangular matrix is called {\it totally positive} if all its minors are positive. A point of a real Grassmanian manifold $G_{l,m}$ of $l$-dimensional subspaces in $\mathbb R^m$ is called {\it strictly totally positive} if one can normalize its Pl\"ucker coordinates to make all of them positive. Clearly if a $k\times m$-matrix, $k
Domains
Dynamical Systems [math.DS]
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Alexey Glutsyuk : Connect in order to contact the contributor
https://ens-lyon.hal.science/ensl-01664210
Submitted on : Thursday, December 14, 2017-3:50:19 PM
Last modification on : Friday, May 12, 2023-3:48:26 AM
Dates and versions
Identifiers
- HAL Id : ensl-01664210 , version 1
- ARXIV : 1708.02154
- DOI : 10.1090/conm/733/14736
Cite
Victor M Buchstaber, Alexey Glutsyuk. Total positivity, Grassmannian and modified Bessel functions. Contemporary mathematics, 2019, 733, pp.97-107. ⟨10.1090/conm/733/14736⟩. ⟨ensl-01664210⟩
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