Zobrazeno 1 - 10
of 767
pro vyhledávání: '"WANG, Penghui"'
Autor:
Wang, Penghui, Zhu, Zeyou
In the present paper, we characterize the Fredholmness of Toeplitz pairs on Hardy space over the bidisk with the bounded holomorphic symbols, and hence we obtain the index formula for such Toeplitz pairs. The key to obtain the Fredholmness of such To
Externí odkaz:
http://arxiv.org/abs/2410.12313
Autor:
Wang, Penghui, Wang, Shan
In the present paper, by using the relaxed transposition method[29], we solve the second-order adjoint equations, corresponding to the optimal control of quantum stochastic systems in fermion fields, which plays the fundamental roles in the study of
Externí odkaz:
http://arxiv.org/abs/2409.01684
Autor:
Jing, Guangdong, Wang, Penghui
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 1, Pp 99-104 (2021)
The eigenvalue problem of stochastic Hamiltonian systems with boundary conditions was studied by Peng [4] in 2000. For the one-dimensional case, denoting by $\lbrace \lambda _n\rbrace _{n=1}^{\infty }$ all the eigenvalues of such an eigenvalue proble
Externí odkaz:
https://doaj.org/article/e072728f2eb74812b24cd227ed3789be
In the present paper, we prove that all the quotient modules in $H^2(\mathbb D^2)$, associated to the finitely generated submodules containing a distinguished homogenous polynomial, are essentially normal, which is the first result on the essential n
Externí odkaz:
http://arxiv.org/abs/2407.18455
Autor:
Wang, Penghui, Wang, Shan
In this paper, the Pontryagin-type maximum principle for optimal control of quantum stochastic systems in fermion fields is obtained. These systems have gained significant prominence in numerous quantum applications ranging from physical chemistry to
Externí odkaz:
http://arxiv.org/abs/2406.08153
The main purpose of this paper is to obtain the existence and uniqueness of $L^p$-solution to quantum stochastic differential equation driven by Fermion fields with nonlocal conditions in the case of non-Lipschitz coefficients for $p>2$. The key to o
Externí odkaz:
http://arxiv.org/abs/2403.15695
We introduce a Grassmannian structure for a class of quotient Hilbert modules and attack the polydisc version of Arveson-Douglas conjecture associated to distinguished varieties. More interestingly, we obtain an operator-theoretic characterization of
Externí odkaz:
http://arxiv.org/abs/2304.13560
Publikováno v:
ACM Multimedia 2022 Best Student Paper Award
Text-to-image generation aims at generating realistic images which are semantically consistent with the given text. Previous works mainly adopt the multi-stage architecture by stacking generator-discriminator pairs to engage multiple adversarial trai
Externí odkaz:
http://arxiv.org/abs/2209.01339
Publikováno v:
In Journal of Building Engineering 15 October 2024 95
Publikováno v:
In Journal of Building Engineering 1 September 2024 92