Total positivity, Grassmannian and modified Bessel functions

Victor M Buchstaber (1) , Alexey Glutsyuk (2)

1 SMI - Steklov Mathematical Institute [Moscow]
2 UMPA

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: Mathematics [math]; Dynamical Systems [math.DS]

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⟩