周期随机色散的一个极限形状定理
A limit shape theorem for periodic stochastic dispersion
摘要：
研究了不可压缩周期随机流所携带的平面上连通集的演化。虽然对于几乎每一个实现的随机流在时间t的大多数粒子是在一个距离的顺序sqrt{t}远离原点，有一个测量零集的点，逃逸到无穷大的线性速率。我们研究了一组点访问的原始集的时间t，并表明，这样的一组，当按比例缩小的因子t，有一个限制的非随机形状。
英文摘要：
We consider the evolution of a connected set on the plane carried by a periodic incompressible stochastic flow. While for almost every realization of the random flow at time t most of the particles are at a distance of order sqrt{t} away from the origin, there is a measure zero set of points, which escape to infinity at the linear rate. We study the set of points visited by the original set by time t, and show that such a set, when scaled down by the factor of t, has a limiting non random shape.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
