二维随机加速度问题
The stochastic acceleration problem in two dimensions
摘要:
研究了二维空间均匀混合势中粒子的运动,证明了粒子的动量收敛于圆周上的布朗运动。这补充了Kesten和Papanicolaou的极限定理\cite{KP}证明的尺寸$d\ge 3$。
英文摘要:
We consider the motion of a particle in a two-dimensional spatially homogeneous mixing potential and show that its momentum converges to the Brownian motion on a circle. This complements the limit theorem of Kesten and Papanicolaou \cite{KP} proved in dimensions $d\ge 3$.
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