supported by the National Natural Science Foundation of China(No.12071051)。
In this paper,the authors give some sufficient conditions for an amalgamated 3-manifold along a compact connected surface F with boundary to be ∂-irreducible in terms of distances between some kinds of vertex subsets ...
supported by National Natural Science Foundation of China (Grant Nos.12131012, 12001007 and 11821101);Beijing Natural Science Foundation (Grant No. 1222003);Natural Science Foundation of Anhui Province (Grant No. 1908085QA03)。
A smooth curve on a homogeneous manifold G/H is called a Riemannian equigeodesic if it is a homogeneous geodesic for any G-invariant Riemannian metric.The homogeneous manifold G/H is called Riemannian equigeodesic,if ...
The authors thank the referees for the careful reading of their paper and all of the insightful suggestions and comments that greatly improved the presentation of the paper.This work was supported by the research fund from Shanxi Province Department of Finance and Education for Ph.D.Graduates to Work in Shanxi(No.2021-18,125/Z24179);and the Natural Sciences and Engineering Research Council of Canada(No.4394-2018).
We investigate periodic solutions of regime-switching jump diffusions.We first show the well-posedness of solutions to stochastic differential equations corresponding to the hybrid system.Then,we derive the strong Fel...
In this article,we investigate the spectral properties of a class of neutron transport operators involving elastic and inelastic collision operators introduced by Larsen and Zweifel[1].Our analysis is manly focused on...
Project supported by Hong Kong Baptist University RC’s Start-up Grant for New Academics,the Hong Kong Research Grant Council(Nos.PolyU 15302114,15300715,15301716,and 15300717);the National Natural Science Foundation of China(No.11372124)
The Hall tensor emerges from the study of the Hall effect, an important magnetic effect observed in electric conductors and semiconductors. The Hall tensor is third-order and three-dimensional, whose first two indices...
We investigate an N-unit series system with finite number of vacations. By analyzing the spectral distribution of the system operator and taking into account the irreducibility of the semigroup generated by the system...
We study a series-parallel repairable system consisting of three units with multiple vacations of a repairman. We first show that all points on the imaginary axis except zero belong to the resolvent set of the operato...
The first author was supported by the Netherlands Organisation for Scientific Research (NWO). The second author was supported by the National Natural Science Foundation of China (Grant No. 11371343).
Jedrzejewicz showed that a polynomial map over a field of characteristic zero is invertible, if and only if the corresponding endomorphism maps irreducible polynomials to irreducible polynomials. Furthermore, he showe...
Supported by NSFC(Grant Nos.11171324 and 11321101)
We find a new representation of the simple Lie algebra of type E6 on the polynomial algebra in 16 variables, which gives a fractional representation of the corresponding Lie group on 16-dimensional space. Using this r...
Acknowledgements The authors would like to give their sincere thanks to the anonymous referees for their valuable suggestions and helpful comments, which help improve the presen- tation of the paper. This work was supported by the National Natural Science Foundation of China (Grant No. 61572283).
H-tensor is a new developed concept which plays an important role in tensor analysis and computing. In this paper, we explore the properties of H-tensors and establish some new criteria for strong H-tensors. In partic...