supported by National Natural Science Foundation of China(Grant Nos.11301534 and 11571039)。
Let(X, d, μ) be a non-homogeneous metric measure space satisfying the so-called upper doubling and geometrically doubling conditions, which includes the space of homogeneous type and the Euclidean space with the non-...
supported by Collaboration Grants for Mathematicians of the Simons Foundation (Grant No. 355480)
By taking a functional analytic point of view,we consider a family of distributions(continuous linear functionals on smooth functions),denoted by{μt,t>0},associated to the law of the iterated logarithm for Brownian m...
supported by National Natural Science Foundation of China (Grant Nos. 11471037 and 11171129);Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20131101110048)
We consider even factors with a bounded number of components in the n-times iterated line graphs L^n(G). We present a characterization of a simple graph G such that L^n(G) has an even factor with at most k components,...
supported by the National Natural Science Foundation of China(Grant Nos.10171090,10231040&10301027).
In this paper, we prove that the attractor of C1,a bi-Lipschitz IFS in R is uniformly perfect if it is not a singleton. Then we construct an example to show that this does not hold for C1 bi-Lipschitz IFS in Rn.
This work was supported by the research program of College of Arts and Science of Beijing Union University and SRF for ROCS,SEM.
The adaptive regularization method is first proposed by Ryzhikov et al. for the deconvolution in elimination of multiples. This method is stronger than the Tikhonov regularization in the sense that itis adaptive, i.e....
This work was supported by the National Natural Science Foundation of China (Grant No. 10071040);Ph.D. Fund of ME of China, PMC Key Lab of ME of China, the 973 Program of STM, RFDP, MCME of China, CEC of Tianjin, S. S. Chern Foundation.
In this paper, various precise iteration equalities and inequalities of Morse indices for the closed geodesics are established. As applications of these formulae, multiplicity results of closed geodesics on some Riema...
Project supported by the National Natural Science Foundation of China.
The method of iterated Tikhonov regularization with perturbed operators and noisy data for solving operators equations of the first kind is investigated. The rates of convergence of regularization approximation are ac...
In this paper, orders <1 and <2 on ((Z)+)nm are introduced and also regarded as orders on the isomorphism classes of finite modules of finite .cyclic algebra R with n simple modules and all the indecomposable projecti...
Project supported by the National Natural Science Foundation of China
This paper studies the strong and weak representation of M-estimates of multiple regression coefficients when the convexity condition is not assumed.The order of the remainder term,or its principal part,is accurate.Us...
Project supported by the Fok Yingtung Education Foundation,and by the National Natural Science Foundation of China.
Csorgo and Revesz (1981) obtained an elegant result on how ismall the increments ofpartial sums of IID random variables are. But their proof seems some wrong. In this paperwe have not only corrected their proof, but a...