On Random Walks with a General Moving Barrier

Details On Random Walks with a General Moving Barrier On Random Walks with a General Moving Barrier

2005-08-17

arxiv.org/abs/astro-ph/0508384v1

Astrophys.J.641:641-646,2006

Astronomy and Astrophysics

Astrophysics

6 pages, 7 figures, submitted to ApJ

Scientific paper

10.1086/499802

Random walks with a general, nonlinear barrier have found recent applications ranging from reionization topology to refinements in the excursion set theory of halos. Here, we derive the first-crossing distribution of random walks with a moving barrier of an arbitrary shape. Such a distribution is shown to satisfy an integral equation that can be solved by a simple matrix inversion, without the need for Monte Carlo simulations, making this useful for exploring a large parameter space. We discuss examples in which common analytic approximations fail, a failure which can be remedied using the method described here.

Affiliated with

Also associated with

No associations

Rating

On Random Walks with a General Moving Barrier 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 On Random Walks with a General Moving Barrier, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Random Walks with a General Moving Barrier will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-119500