论文标题
确定性PDE中固有随机性的示例
An Example of Intrinsic Randomness in Deterministic PDEs
论文作者
论文摘要
引入了导致汉堡方程的随机版本的新机制：这表明，在离散时间（TASEP）中完全不对称的排除过程（TASEP）可以理解为一种本质上随机的，非反向弱的伯格方程的burgers equation of $ \ \ \ \ \ m atmathbb {r} $。在这种解释中，汉堡动力学中随机性的出现是由跳到溶液中的随机添加引起的，与tasep中的随机效应相对应。
A new mechanism leading to a random version of Burgers' equation is introduced: it is shown that the Totally Asymmetric Exclusion Process in discrete time (TASEP) can be understood as an intrinsically stochastic, non-entropic weak solution of Burgers' equation on $\mathbb{R}$. In this interpretation, the appearance of randomness in the Burgers' dynamics is caused by random additions of jumps to the solution, corresponding to the random effects in TASEP.
