Lorentz Process with shrinking holes in a wall
| dc.contributor.author | Nandori, Peter | |
| dc.contributor.author | Szasz, Domokos | |
| dc.contributor.orcid | 0000-0001-8238-6653 | en_US |
| dc.date.accessioned | 2023-12-05T15:09:39Z | |
| dc.date.available | 2023-12-05T15:09:39Z | |
| dc.date.issued | 2018 | |
| dc.description | Scholarly article / OA (arXiv PDF) | en_US |
| dc.description.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. | en_US |
| dc.description.sponsorship | ACKNOWLEDGEMENTS. The support of the Hungarian National Foundation for Scientific Research grant No. K 71693 is gratefully acknowledged. The authors thank the kind hospitality of the Fields Institute (Toronto) where - during June 2011 - part of this work was done. They are also thankful to the referee for his constructive remarks leading to the improvement of the exposition. | en_US |
| dc.identifier.citation | Nandori, P., & Szasz, D. (2018). Lorentz Process with shrinking holes in a wall. https://doi.org/10.1063/1.4717521 | en_US |
| dc.identifier.doi | https://doi.org/10.1063/1.4717521 | en_US |
| dc.identifier.uri | http://arxiv.org/abs/1111.6193 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12202/9584 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | arXiv ; Cornell University | en_US |
| dc.relation.ispartofseries | Chaos: An Interdisciplinary Journal of Nonlinear Science;22(2) | |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | Mathematics - Dynamical Systems | en_US |
| dc.title | Lorentz Process with shrinking holes in a wall | en_US |
| dc.type | Working Paper | en_US |
| local.yu.facultypage | https://sites.google.com/view/peternandori | en_US |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Nandori 2018 OA arXiv Lorenz.pdf
- Size:
- 244.92 KB
- Format:
- Adobe Portable Document Format
- Description: