Abstract
The pointwise convergence of the probability densities induced from an initial density on (0,1) under repeated iteration of the map x to 4s(1-x) is established for a large class of initial densities.
Barbour, A D (1986). Pointwise convergence of densities under iteration of Ulam and von Neumann's map. Journal of Physics A: Mathematical and General, 19(18):3921-3922.
Abstract
The pointwise convergence of the probability densities induced from an initial density on (0,1) under repeated iteration of the map x to 4s(1-x) is established for a large class of initial densities.
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| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > General Physics and Astronomy Physical Sciences > Mathematical Physics |
| Language: | English |
| Date: | 1986 |
| Deposited On: | 20 Oct 2009 08:10 |
| Last Modified: | 23 Jan 2022 14:50 |
| Publisher: | Institute of Physics Publishing |
| ISSN: | 0305-4470 |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1088/0305-4470/19/18/037 |
| Related URLs: | http://user.math.uzh.ch/barbour/pub/Barbour/Ulam.pdf (Author) |
Barbour, A D