| Presentation | 2012-07-06 Unpredictability of Galton board Kenichi ARAI, Takahisa HARAYAMA, Satoshi SUNADA, Peter DAVIS, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We report the unpredictability of a simple Galton board model. A Galton board is known as a classic example of the appearance of "laws of probability". In the Galton board model, the macroscopic motion is governed by deterministic equations of motion. We can consider that the non-deterministic characteristics are attributed to the uncertainty in the initial states. We examine the predictability of outputs of a small Galton board model based on the the uncertainty in the initial states and basins of initial states that map into the same exit channel. Basins of our model has fractal boundaries and arbitrarily small initial uncertainty can cause unpredictability of final states. We discuss the final state sensitivity and the statistical bias of final states as the unpredictability. From these results, we can determine radii of scatterers that meet a condition such as an unavoidable initial uncertainty and an allowable bias of outputs. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Random number generation / Galton board |
| Paper # | NLP2012-47 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2012/6/28(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Unpredictability of Galton board |
| Sub Title (in English) | |
| Keyword(1) | Random number generation |
| Keyword(2) | Galton board |
| 1st Author's Name | Kenichi ARAI |
| 1st Author's Affiliation | NTT Comunication Science Laboratories() |
| 2nd Author's Name | Takahisa HARAYAMA |
| 2nd Author's Affiliation | Graduate School of Engineering, Toyo University |
| 3rd Author's Name | Satoshi SUNADA |
| 3rd Author's Affiliation | Graduate School of Natural Science and Technology, Kanazawa University |
| 4th Author's Name | Peter DAVIS |
| 4th Author's Affiliation | Telecognix Corporation |
| Date | 2012-07-06 |
| Paper # | NLP2012-47 |
| Volume (vol) | vol.112 |
| Number (no) | 117 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |