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The dimension of eigenvariety of nonnegative tensors associated with spectral radius

The dimension of eigenvariety of nonnegative tensors associated with spectral radius

For a nonnegative weakly irreducible tensor, its spectral radius is an eigenvalue corresponding to a unique positive eigenvector up to a scalar, called Perron vector. But including the Perron vector, it may have more than one eigenvector corresponding to the spectral radius. The projective eigenvariety associated with the spectral radius …