  We define a Gaussian measure on the space $H^0_J(M, L^N)$ of almost
holomorphic sections of powers of an ample line bundle $L$ over a symplectic
manifold $(M, \omega)$, and calculate the joint probability densities of
sections taking prescribed values and covariant derivatives at a finite number
of points. We prove that they have a universal scaling limit as $N \to \infty$.
This result completes our proof (with P. Bleher) that correlations between
zeros of sections in the almost-holomorphic setting have the same universal
scaling limit as in the complex case (see Universality and scaling of zeros on
symplectic manifolds, Random matrix models and their applications, 31--69,
Math. Sci. Res. Inst. Publ., 40)
