Talk page
Title:
Correlators of left and right eigenvectors of non-Hermitian random matrices.
Speaker:
Abstract:
Let each of the elements of a square matrix, a particularly not self-adjoint one, perform a random walk. I will show, how the evolution of the so called Green’s function, closely connected to the eigenvalue density, is coupled through a non-linear Burgers-like equation to the correlator of left and right eigenvectors of this matrix. I will also recapitulate some known results on such correlators. This will be an extension of Maciek Nowak’s talk from the Simons Center, Random Matrix Theory, Integrable Systems, and Topology in Physics meeting.
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