| Presentation | 2019-03-04 On perturbation theory for the fundamental equation of the oscillation model in online social networks Naoki Hirakura, Masaki Aida, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Explosive user dynamics in on-line social networks represented by flaming phenomena may have a big influence on social activities in the real world. Therefore, it is desirable to understand the occurrence mechanism of explosive user dynamics in an engineering framework and develop countermeasure technology. The oscillation model on networks has been proposed to model such user dynamics and has made possible generalization of node centricity and modeling of the occurrence mechanism on flaming phenomena. In particular, if we pursue the causal relationship of the influence of specific network structure on user dynamics, the oscillation model inevitably connects to the framework of relativistic quantum mechanics on the network. In this paper, we discuss a method to evaluate the influence of a specific network structure on the eigenvalues of the Laplacian matrix by using the perturbation theory, based on similarity with relativistic quantum mechanics. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Perturbation Theory / Relativistic Quantum Mechanics / Hypergeometric Series / Social Networks |
| Paper # | IN2018-85 |
| Date of Issue | 2019-02-25 (IN) |
| Conference Information | |
| Committee | IN / NS |
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| Conference Date | 2019/3/4(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okinawa Convention Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Chair | Takuji Kishida(NTT-AT) / Yoshikatsu Okazaki(NTT) |
| Vice Chair | Kenji Ishida(Hiroshima City Univ.) / Akihiro Nakao(Univ. of Tokyo) |
| Secretary | Kenji Ishida(KDDI Research) / Akihiro Nakao(KDDI Research) |
| Assistant | / Kenichi Kashibuchi(NTT) |
| Paper Information | |
| Registration To | Technical Committee on Information Networks / Technical Committee on Network Systems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On perturbation theory for the fundamental equation of the oscillation model in online social networks |
| Sub Title (in English) | |
| Keyword(1) | Perturbation Theory |
| Keyword(2) | Relativistic Quantum Mechanics |
| Keyword(3) | Hypergeometric Series |
| Keyword(4) | Social Networks |
| 1st Author's Name | Naoki Hirakura |
| 1st Author's Affiliation | Tokyo Metropolitan University(Tokyo Metropolitan Univ.) |
| 2nd Author's Name | Masaki Aida |
| 2nd Author's Affiliation | Tokyo Metropolitan University(Tokyo Metropolitan Univ.) |
| Date | 2019-03-04 |
| Paper # | IN2018-85 |
| Volume (vol) | vol.118 |
| Number (no) | IN-466 |
| Page | pp.pp.7-12(IN), |
| #Pages | 6 |
| Date of Issue | 2019-02-25 (IN) |