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Optimal rates of convergence for quenched central limit theorem rates of one-dimensional random walks in random environments
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ahn, Sung Won Peterson, Jonathon |
| Copyright Year | 2020 |
| Abstract | We consider the rates of convergence of the quenched central limit theorem for hitting times of one-dimensional random walks in a random environment. Previous results had identified polynomial upper bounds for the rates of decay which are sometimes slower than $n^{-1/2}$ (the optimal rate in the classical Berry-Esseen estimates). Here we prove that the previous upper bounds are in fact the best possible polynomial rates for the quenched CLT. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/2001.11522v1.pdf |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/2001.11522 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |