Invariance times are stopping times T such that local martingales with respect to some reduced filtration and an equivalently changed probability measure,stopped before T,are local martingales with respect to the orig...
This work is with the financial support of the“Chaire Risque Financier”of the“Fondation du Risque”,the Labex MME-DII.The authors's research is part of the ANR project DREAMeS(ANR-21-CE46-0002).
This paper investigates the inverse problem of bi-revealed utilities in a defaultable universe,defined as a standard universe(represented by a filtration F)perturbed by an exogenous defaultable time τ.We assume that ...
the National Natural Science Foundation of China(21875248,21921001,and 21975256);the Strategic Priority Research Program of the Chinese Academy of Sciences(XDB20000000);the 100 Talents Project of Fujian Province。
The first mixed alkali-metal gallium iodate-fluoride,namely,LiGaF2(IO3)2,was successfully obtained under hydrothermal conditions.The structure of LiGaF2(IO3)2 features a novel two-dimensional(2D)[GaF2(IO3)2]layer comp...
LDPE (low-density polyethylene) photo degraded through various accelerated weathering tests has the molecular weight distribution curves unlike that through outdoor exposure. The authors therefore developed new weat...
The internal Zappa-Szép products emerge when a semigroup has the property that every element has a unique decomposition as a product of elements from two given subsemigroups. The external version constructed from act...
The NSF (2007A12) of Shaanxi Province;the Special Science Research Project (11JK0507) of Shaanxi Provincial Department of Edueation
In nonstandard enlargement, the separations are characterized by non- standard analysis methods in [0, 1J-topological spaces. Firstly, the monads of fuzzy point in [0, 1]-topological spaces are described with remote-n...
Let Bt be an Ft Brownian motion and Gt be an enlargement of filtration of Ft from some Gaussian random variables. We obtain equations for ht such that Bt ht is a Gt-Brownian motion.
Project supported by the National Natural Science Foundation of China(Grant No.10872181);the National Key Basic Research Program of China(973 Program,Grant No.2009CB724303);the Fundamental Research Funds for the Central Universities(Grant No.2010QNA4015)
The water environment of swimming fish in nature is always complex which includes various vortices and fluctuations. In order to study the interaction between the fish and its surrounding complex flow, the physical mo...
Project(2007CB607605) supported by the National Basic Research Program of China
A highly ordered porous alumina template with pores of 45 nm in diameter was synthesized by a two-step electrochemical anodizing process. The influence of pore-enlargement treatment on the porous structure and tribolo...
Supported by the National Natural Science Foundation of China under Grant Nos 60276004 and 60390073.
Light propagation in a one-dimensional photonic crystal (PC), consisting of alternative slabs with refractive indices (layer thicknesses) nl (a) and n2 (b), is investigated. An important optimal parameter matc...