Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/9584| Title: | Lorentz Process with shrinking holes in a wall |
| Authors: | Nandori, Peter Szasz, Domokos 0000-0001-8238-6653 |
| Keywords: | Mathematics - Dynamical Systems |
| Issue Date: | 2018 |
| Publisher: | arXiv ; Cornell University |
| Citation: | Nandori, P., & Szasz, D. (2018). Lorentz Process with shrinking holes in a wall. https://doi.org/10.1063/1.4717521 |
| Series/Report no.: | Chaos: An Interdisciplinary Journal of Nonlinear Science;22(2) |
| Abstract: | We ascertain the diffusively scaled limit of a periodic Lorentz process in a strip with an almost reflecting wall at the origin. Here, almost reflecting means that the wall contains a small hole waning in time. The limiting process is a quasi-reflected Brownian motion, which is Markovian but not strong Markovian. Local time results for the periodic Lorentz process, having independent interest, are also found and used. |
| Description: | Scholarly article / OA (arXiv PDF) |
| URI: | http://arxiv.org/abs/1111.6193 https://hdl.handle.net/20.500.12202/9584 |
| Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Nandori 2018 OA arXiv Lorenz.pdf | 244.92 kB | Adobe PDF |  View/Open |
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