A phase transition in random coin tossing

Details A phase transition in random coin tossing A phase transition in random coin tossing

2004-04-05

arxiv.org/abs/math/0404098v1

Ann. Probab. vol. 29, 1637-1669 (2001)

Mathematics

Probability

48 pages

Scientific paper

Suppose that a coin with bias theta is tossed at renewal times of a renewal process, and a fair coin is tossed at all other times. Let mu_\theta be the distribution of the observed sequence of coin tosses, and let u_n denote the chance of a renewal at time n. Harris and Keane showed that if sum_{n=1}^infty u_n^2=\infty, then mu_theta and \mu_0 are singular, while if sum_{n=1}^{infty} u_n^2theta_c, they are singular. We also prove that when u_n=O(n^{-1}), the measures mu_theta for theta in [-1,1] are all mutually absolutely continuous.

Affiliated with

Also associated with

No associations

Rating

A phase transition in random coin tossing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A phase transition in random coin tossing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A phase transition in random coin tossing will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-666757