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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the preservation of second integrals by RK methods
RK方法 保存 第二积分
2023/4/25
One can elucidate integrability properties of ODEs by knowing the existence of second integrals. However, little is known about how they are preserved, if at all, under numerical methods. In this talk...
A note on insufficiency and the preservation of Fisher information
Fisher information Hellinger differentiability of probability models differentiability in quadratic mean score function
2011/9/15
Abstract: Kagan and Shepp (2005, Amer. Statist.) presented an elegant example of a mixture model for which an insufficient statistic preserves Fisher information. This note uses the regularity propert...
Hyperboloid preservation implies the Lorentz and Poincaré groups without dilations
mass shell momentum space velocity hyperboloid proper time velocity Lorentz transformation Poincar´ e transformation
2010/12/9
An analogue of the Alexandrov-Zeeman theorem, based on hyperboloid preservation, as opposed to light cone preservation, is provided. This char-acterizes exactly the Poincar´e group, as opposed t...
An Elementary Proof of the Preservation of Lipschitz Constants by the Meyer-K鰊ig and Zeller Operators
Meyer-Kö nig and Zeller operators Preservation of Lipschitz constants
2008/7/3
An elementary proof of the preservation of Lipschitz constants by the Meyer-König and Zeller operators is presented.