In this paper, we classify the m-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. In particular, we obtain several new infinite familie...In this paper, we classify the m-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. In particular, we obtain several new infinite families of transitive m-ovoids.展开更多
New numerical methods based on collocation methods with the mechanical quadrature rules are proposed to solve some systems of singular integrodifferential equations that are defined on arbitrary smooth closed contours...New numerical methods based on collocation methods with the mechanical quadrature rules are proposed to solve some systems of singular integrodifferential equations that are defined on arbitrary smooth closed contours of the complex plane.We carry out the convergence analysis in classical Hölder spaces.A numerical example is also presented.展开更多
The original Erdos-Ko-Rado problem has inspired much research. It started as a study on sets of pairwise intersecting k-subsets in an n-set, then it gave rise to research on sets of pairwise non-trivially intersecting...The original Erdos-Ko-Rado problem has inspired much research. It started as a study on sets of pairwise intersecting k-subsets in an n-set, then it gave rise to research on sets of pairwise non-trivially intersecting k-dimensional vector spaces in the vector space V（n, q） of dimension n over the finite field of order q, and then research on sets of pairwise non-trivially intersecting generators and planes in finite classical polar spaces. We summarize the main results on the Erdos-Ko-Rado problem in these three settings, mention the ErdSs-Ko-Rado problem in other related settings, and mention open problems for future research.展开更多
基金supported by National Natural Science Foundation of China (Grant No. 12171428)the Sino-German Mobility Programme M-0157Shandong Provincial Natural Science Foundation (Grant No. ZR2022QA069)。
文摘In this paper, we classify the m-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. In particular, we obtain several new infinite families of transitive m-ovoids.
基金This research of Iurie Caraus was supported by a Fulbright Grant.The First author would like to thank the Department of Mathematics,North Carolina State University,and Dr.Zhilin Li for the support and the hospitality during his visitThe second author is partially supported by the US ARO grants 550694-MA,the AFSOR grant FA9550-09-1-0520,the US NSF grant DMS-0911434,the US NIH grant 096195-01,and the CNSF grant 11071123.
文摘New numerical methods based on collocation methods with the mechanical quadrature rules are proposed to solve some systems of singular integrodifferential equations that are defined on arbitrary smooth closed contours of the complex plane.We carry out the convergence analysis in classical Hölder spaces.A numerical example is also presented.
基金supported by FWO-Vlaanderen(Research Foundation-Flanders)
文摘The original Erdos-Ko-Rado problem has inspired much research. It started as a study on sets of pairwise intersecting k-subsets in an n-set, then it gave rise to research on sets of pairwise non-trivially intersecting k-dimensional vector spaces in the vector space V（n, q） of dimension n over the finite field of order q, and then research on sets of pairwise non-trivially intersecting generators and planes in finite classical polar spaces. We summarize the main results on the Erdos-Ko-Rado problem in these three settings, mention the ErdSs-Ko-Rado problem in other related settings, and mention open problems for future research.
