Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Using a probabilistic method for number theoretic purposes, I have encountered the following question (it may be very standard):

Let $X_t$ be a Gaussian process $(t>0)$ such that $X_0=0$. What is the expected number of times for the process to cross zero in the interval $[0,c)$ as a function of $c$?

share|cite|improve this question

1 Answer 1

up vote 4 down vote accepted

The magic words are "Kac-Rice formula". This is exactly the question which comes up in analyzing zeros of random polynomials.

share|cite|improve this answer
Thank you! It was most helpful. – TOM Jul 25 '13 at 1:38

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.