One-sided FKPP travelling waves in the context of homogenous fragmentation processes

Details One-sided FKPP travelling waves in the context of homogenous fragmentation processes One-sided FKPP travelling waves in the context of homogenous fragmentation processes

2012-04-03

arxiv.org/abs/1204.0758v1

Mathematics

Probability

Scientific paper

In this paper we introduce the one-sided FKPP equation in the context of homogenous fragmentation processes. More specifically, the main result of the present paper is concerned with the existence and uniqueness of one-sided FKPP travelling waves in this setting. Moreover, we prove some analytical properties of such travelling waves. Our techniques make use of killed fragmentation processes and an associated product martingale as well as various properties of spectrally negative L\'evy processes. Furthermore, as a motivation, we devote a section to fragmentations with a finite dislocation measure, where we obtain a stronger result than for general fragmentation processes.

Affiliated with

Also associated with

No associations

Rating

One-sided FKPP travelling waves in the context of homogenous fragmentation processes 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 One-sided FKPP travelling waves in the context of homogenous fragmentation processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-sided FKPP travelling waves in the context of homogenous fragmentation processes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-356148