[1] C. Gugg, H. Kielhöfer, M. Niggemann, On the approximation of the stochastic Burgers equation, Commun. Math. Phys. 230(1) (2002) 181-199.

In recent years, China’s rapid economic development resulted in serious air pollution. In particular, the road transport sector has become one of the major emitters, which caused substantial losses to residents’ health. In the broad context of the d…

We conclude by discussing examples of CVIs through two families. First, in Subsection 8.1 we describe Branson’s Q-curvatures [5, 26] and the renormalized volume coefficients [36] from the point of view of CVIs, noting in particular that they provide…

For a real $x\in(0,1)\setminus\mathbb{Q}$, let $x=[a_1(x),a_2(x),\cdots]$ be its continued fraction expansion. Denote by $T_n(x):= max \{a_k(x): 1\leq k\leq n\}$ the leading partial quotient up to $n$. For any real $\alpha\in(0,\infty), \gamma\in(0,…

In conclusion, we have presented two new schemes for joint remote preparation of an arbitrary four-qubit |χ⟩-type entangled states. In these schemes, the coefficients of the original states to be co-prepared are all complex. In the first scheme, two…

In this paper, we replace the ℓ0-norm ∥x∥0 with a non-convex fraction function in the NP-hard problem (P≥0), and translate this NP-hard problem into the problem (FP≥a). We discussed the equivalence between (FP≥a) and (P≥0). Moreover, we also proved …

In this paper, based on the nonconvex fraction function, we presented a nonconvex optimization problem for the low-rank and sparse matrix decomposition. The ADMM algorithm is utilized to solve our nonconvex optimization problem, and the numerical re…

In the paper, we take the fraction function as the substitution for ℓ0-norm in quasi-linear compressed sensing. An iterative fraction thresholding algorithm is proposed to solve the regularization problem (QPλa) for all a>0. With the change of param…

In this paper, we propose the BA2 method for abstaining classification, which avoids the introduction of the cost information. The BA2 method achieves higher AUC compared with BA and it has lower cost compared with RO-TWSVM. What’s more, BA2 can c…

In this paper, we calculated the CP-averaged branching ratios and direct CP-violating asymmetries of the quasi-two-body decays B(s)→(π,K,η,η′)ρ→(π,K,η,η′)ππ by using the PQCD factorization approach. The two-pion distribution amplitude ΦPππ with the …