论文标题
从随机行走的单个轨迹中重建一个（经常性的）随机环境，并在随机环境中发生错误
Reconstructing a (recurrent) random environment from a single trajectory of Random Walk in Random Environment with errors
论文作者
论文摘要
我们认为在未知环境中随机环境中随机行走的一条无限路径。该环境由I.I.D. \ site或键随机性组成。在每个位置，随机步行者都会停下来，并告诉我们它在它所看到的环境，而不告诉我们在哪里。这些观察结果$χ'$因读取概率$ p <1 $的错误而破坏了。我们表明：如果RWRE经常出现并满足此类RWRE的标准假设，那么在环境中，错误，错误和随机步行的概率，我们就能重建环境定律。在大多数情况下，这个结果甚至独立于$ p $的价值。如果环境的分布有非原子部分，我们甚至可以重建环境本身，直到翻译。
We consider one infinite path of a Random Walk in Random Environment (RWRE, for short) in an unknown environment. This environment consists of either i.i.d.\ site or bond randomness. At each position the random walker stops and tells us the environment it sees at the point where it is, without telling us, where it is. These observations $χ'$ are spoiled by reading errors that occur with probability $p<1$. We show: If the RWRE is recurrent and satisfies the standard assumptions on such RWREs, then with probability one in the environment, the errors, and the random walk we are able reconstruct the law of the environment. For most situations this result is even independent of the value of $p$. If the distribution of the environment has a non-atomic part, we can even reconstruct the environment itself, up to translation.
