Spectral gap

For the physical quantity, see Spectral gap (physics).

In mathematics, the spectral gap is the difference between the moduli of the two largest eigenvalues of a matrix or operator; alternately, it is sometimes taken as the smallest non-zero eigenvalue. Various theorems relate this difference to other properties of the system.

See also

• Cheeger constant (graph theory)
• Cheeger constant (Riemannian geometry)
• Eigengap
• Spectral gap (physics)
• Spectral radius

External links

• "Impossible-Seeming Surfaces Confirmed Decades After Conjecture". Quanta Magazine. 2022-06-02.