论文标题
在周期性的环境中分支布朗运动和脉动流动波的存在
Branching Brownian motion in a periodic environment and existence of pulsating travelling waves
论文作者
论文摘要
我们研究了周期性环境中一维分支布朗运动的添加剂和衍生品的限制。然后，我们通过以添加剂和衍生品玛格拉群落的限制来表示相应F-KPP方程的脉动行动波解在超临界和关键情况下的存在。我们还证明，在亚临界情况下，没有脉动行驶波解决方案。我们的主要工具是脊柱分解和措施改变措施。
We study the limits of the additive and derivative martingales of one-dimensional branching Brownian motion in a periodic environment. Then we prove the existence of pulsating travelling wave solutions of the corresponding F-KPP equation in the supercritical and critical cases by representing the solutions probabilistically in terms of the limits of the additive and derivative martingales. We also prove that there is no pulsating travelling wave solution in the subcritical case. Our main tools are the spine decomposition and martingale change of measures.
