التفاصيل البيبلوغرافية
| العنوان: |
On the tightness of the maximum of branching Brownian motion in random environment |
| المؤلفون: |
Černý, Jiří, Drewitz, Alexander, Oswald, Pascal |
| سنة النشر: |
2022 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Probability |
| الوصف: |
We consider one-dimensional branching Brownian motion in spatially random branching environment (BBMRE) and show that for almost every realisation of the environment, the distributions of the maximal particle of the BBMRE re-centred around its median are tight as time evolves. This result is in stark contrast to the fact that the transition fronts in the solution to the randomised Fisher--Kolmogorov--Petrovskii--Piskunov (F-KPP) equation are, in general, not bounded uniformly in time. In particular, this highlights that -- when compared to the settings of homogeneous branching Brownian motion and the F-KPP equation in a homogeneous environment -- the introduction of a random environment leads to a much more intricate behaviour. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2212.12390 |
| رقم الانضمام: |
edsarx.2212.12390 |
| قاعدة البيانات: |
arXiv |