  We formulate theory of interacting scalar field on the fuzzy sphere as a
random matrix model. We then analyze the expectation values of observables of
the theory in the large N limit and we demonstrate that the eigenvalue
distribution of the matrix M remains the polynomially deformed Wigner
semicircle. We also compute distributions involving the matrix Laplacian of M
and we show that the correlation between the eigenvalues of these two is
different from the free field case.
