论文标题
路径与路径唯一性
Pathwise vs. path-by-path uniqueness
论文作者
论文摘要
我们构建了一系列形式的$ dx_t = b（t，x_t）dt + db_t $的随机微分方程，这些方程在路径上表现出非唯一性，同时在随机过程的意义上具有独特的适应性解决方案，即路径唯一性。
We construct a series of stochastic differential equations of the form $dX_t = b(t, X_t) dt + dB_t$ which exhibit nonuniqueness in the path-by-path sense while having a unique adapted solution in the sense of stochastic processes, i.e. pathwise uniqueness holds.
