Spectrum of Lévy–Khintchine Random Laplacian Matrices
Spectrum of Lévy–Khintchine Random Laplacian Matrices
Abstract We consider the spectrum of random Laplacian matrices of the form $$L_n=A_n-D_n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>A</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mo>-</mml:mo> <mml:msub> <mml:mi>D</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:mrow> </mml:math> where $$A_n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>A</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:math> is a real symmetric random matrix and $$D_n$$ <mml:math …