On the geometry of the set of symmetric matrices with repeated eigenvalues
From MaRDI portal
Publication:2283191
DOI10.1007/s40598-018-0095-0OpenAlexW2827850560WikidataQ128640094 ScholiaQ128640094MaRDI QIDQ2283191
Paul Breiding, Khazhgali Kozhasov, Antonio Lerario
Publication date: 30 December 2019
Published in: Arnold Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.04530
Related Items
Voronoi cells of varieties ⋮ Real symmetric matrices with partitioned eigenvalues ⋮ Kinetic Dyson Brownian motion ⋮ Local models and global constraints for degeneracies and band crossings ⋮ $p$-Adic Integral Geometry ⋮ On minimality of determinantal varieties ⋮ Asymptotics of degrees and ED degrees of Segre products ⋮ Random Spectrahedra ⋮ How many eigenvalues of a random symmetric tensor are real?
Cites Work
- Gap probabilities and Betti numbers of a random intersection of quadrics
- Extreme gaps between eigenvalues of random matrices
- On the space of symmetric operators with multiple ground states
- Random matrices: tail bounds for gaps between eigenvalues
- Topological properties of eigenoscillations in mathematical physics
- Some identities for elements of a symmetric matrix
- Critical points of matrix least squares distance functions
- A note on ED degrees of group-stable subvarieties in polar representations
- The Euclidean distance degree of orthogonally invariant matrix varieties
- Remarks on eigenvalues and eigenvectors of Hermitian matrices, Berry phase, adiabatic connections and quantum Hall effect
- The (matrix) discriminant as a determinant
- The real polynomial eigenvalue problem is well conditioned on the average
- Complexity of Bezout's theorem. III: Condition number and packing
- The entropic discriminant
- Modes and quasimodes
- Condition
- Estimates on the condition number of random rank-deficient matrices
- Systems of quadratic inequalities
- The Probability That a Numerical Analysis Problem is Difficult
- Complexity of Bezout's Theorem I: Geometric Aspects
- How Many Eigenvalues of a Random Matrix are Real?
- The kinematic formula in Riemannian homogeneous spaces
- How many zeros of a random polynomial are real?
- Spaces of Hermitian operators with simple spectra and their finite-order cohomology
- Random Spectrahedra
- The Euclidean distance degree of an algebraic variety
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item