Abstract: The geometrical aspects of random fields defined on a manifold have long captured the imagination of scientists in many fields. Be it the brain mapping problem, or understanding the Big-Bang using the cosmic background radiation. In their seminal work, Adler and Taylor analyzed geometrical aspects of random fields arising from finitely many i.i.d. Gaussian fields. In a bid to get similar results for a larger class of random fields, we extend the already existing results to a class of random fields which can be expressed as stochastic integrals.

[This is a joint work with Jonathan Taylor]