Supported by the National Natural Science Foundation of China(Grant Nos.11501531,11701265,11771047)。
For the birth–death Q-matrix with regular boundary,its minimal process and its maximal process are closely related.In this paper,we obtain the uniform decay rate and the quasi-stationary distribution for the minimal ...
Supported by National Natural Science Foundation of China;North China Institute of Science and Technology Applied Mathematics Innovation Team;Fundamental Research Funds for the Central Universities(Grant Nos.11702094,3142018059 and 3142015043)
Let G be a graph with vertex set V(G),edge set E(G)and maximum degreeΔrespectively.G is called degree-magic if it admits a labelling of the edges by integers{1,2,...,|E(G)|}such that for any vertex v the sum of the l...
supported by NSFC(Grant No.11571180);NSFC(Grant Nos.11701142,11426085);partially supported by NSFC(Grant Nos.11571180,11331003 and 11426085);partially supported by Natural Science Foundation of Jiangsu Province(Grant No.BK20170862)
A strong edge coloring of a graph is a proper edge coloring where the edges at distance at most 2 receive distinct colors. The strong chromatic index χ'_s(G) of a graph G is the minimum number of colors used in a str...
Supported by Natural Science Foundation of China(Grant No.11671294)
Let X be a Banach space of dimension ≥ 2 over the real or complex field F and A a standard operator algebra in B(X). A map Ф : A→A is said to be strong 3-commutativity preserving if [Ф(A), Ф(B)]a = [A, B]3...
Supported by National Natural Science Foundation of China(Grant No.11231002)
The strong embeddability is a notion of metric geometry, which is an intermediate property lying between coarse embeddability and property A. In this paper, we study the permanence properties of strong embeddability f...
Supported by Natural Science Foundation of Shandong Province,China(Grant No.ZR2015Item PA010);National Natural Science Foundation of China(Grant Nos.11526123 and 11401273)
Let R be a unital *-ring with the unit I. Assume that R contains a symmetric idempotent P which satisfies ARP= 0 implies A = 0 and AR(I - P) = 0 implies A = 0. In this paper, it is shown that a surjective map Ф:...
supported by the Vietnam Institute for Advanced Study in Mathematics(VIASM);the Vietnam National Foundation for Sciences and Technology Development NAFOSTED(Grant No.101.01.2012.13);supported by NAFOSTED(Grant No.101.03.2012.17)
For a double array of independent random elements {Vmn,m ≥ 1,n ≥ 1} in a real separable Banach space,conditions are provided under which the weak and strong laws of large numbers for the double sums mi=1 nj=1Vij,m ...
The first author is supported by the Key Project of Chinese Ministry of Education(Grant No.211162);Sichuan Province Science Foundation for Youths(Grant No.2012JQ0011);the second author is supported byNational Natural Science Foundation of China(Grant No.11371267)
The instability property of the standing wave uω(t, x) = eiωtφ(x) for the Klein–Gordon– Hartree equation is investigated. For the case N≥3 and w2 〈2/N+4-γ,it is shown that the standing wave eiwtφ(x) is...
Supported by National Natural Science Foundation of China(Grant Nos.10871226,11001247 and 61179041);Natural Science Foundation of Zhejiang Province(Grant No.Y6100096)
In the present paper, we give an investigation on the learning rate of l2-coefficient regularized classification with strong loss and the data dependent kernel functional spaces. The results show that the learning rat...