Exact analytic expressions of real tensor eigenvalue distributions of Gaussian tensor model for small N

DOI10.1063/5.0133874zbMath1516.15007arXiv2210.15129OpenAlexW4379014285MaRDI QIDQ6110666

Naoki Sasakura

Publication date: 6 July 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.15129

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Vector and tensor algebra, theory of invariants (15A72) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Multilinear algebra, tensor calculus (15A69)

Cites Work

• Colored group field theory
• On the distribution of the roots of certain symmetric matrices
• Counting surfaces. CRM Aisenstadt chair lectures
• Tensor eigenvalues and their applications
• Planar diagrams
• The number of eigenvalues of a tensor
• Melonic dominance and the largest eigenvalue of a large random tensor
• On random matrix averages involving half-integer powers of GOE characteristic polynomials
• Eigenvalues of a real supersymmetric tensor
• Signed distributions of real tensor eigenvectors of Gaussian tensor model via a four-Fermi theory
• TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD
• THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
• Random Matrices and Complexity of Spin Glasses
• Spin-glass theory for pedestrians
• Emergence of Lie group symmetric classical spacetimes in the canonical tensor model
• How many eigenvalues of a random symmetric tensor are real?
• The Expected Number of Eigenvalues of a Real Gaussian Tensor
• Real tensor eigenvalue/vector distributions of the Gaussian tensor model via a four-fermi theory

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