Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Yan-Long Fang"'
Publikováno v:
Inverse Problems. 39:065008
Knowledge of the properties of biological tissues is essential in monitoring any abnormalities that may be forming and have a major impact on organs malfunctioning. Therefore, these disorders must be detected and treated early to save lives and impro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cdaaf2922f9b70c2e471538ab48be95d
https://doi.org/10.1088/1361-6420/acca42
https://doi.org/10.1088/1361-6420/acca42
Autor:
Yan-Long Fang, Alexander Strohmaier
Starting from the construction of the free quantum scalar field of mass $m\geq 0$ we give mathematically precise and rigorous versions of three different approaches to computing the Casimir forces between compact obstacles. We then prove that they ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11eba77e98e9e1eff52b8ca350144704
http://arxiv.org/abs/2104.09763
http://arxiv.org/abs/2104.09763
Autor:
Yan-Long Fang, Alexander Strohmaier
We consider the case of scattering of several obstacles in $\mathbb{R}^d$ for $d \geq 2$ for the Laplace operator $\Delta$ with Dirichlet boundary conditions imposed on the obstacles. In the case of two obstacles, we have the Laplace operators $\Delt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67f44f66ac6174dcb42d5d14e4cacba3
Autor:
Yan-Long Fang, Paul A. Warburton
Publikováno v:
Quantum Information Processing. 19
A significant challenge in quantum annealing is to map a real-world problem onto a hardware graph of limited connectivity. When the problem graph is not a subgraph of the hardware graph, one might employ minor embedding in which each logical qubit is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eac52b956e40a49694d136ecd2d67e11
https://doi.org/10.1007/s11128-020-02681-x
https://doi.org/10.1007/s11128-020-02681-x
Publikováno v:
Journal of Spectral Theory. 6:695-715
This is a review paper outlining recent progress in the spectral analysis of first order systems. We work on a closed manifold and study an elliptic self-adjoint first order system of linear partial differential equations. The aim is to examine the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8051c29fb55806f7c231383c1c614ca
https://doi.org/10.4171/jst/137
https://doi.org/10.4171/jst/137
Autor:
Yan-Long Fang
Publikováno v:
The Fourteenth Marcel Grossmann Meeting.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07e2078aaa971d4f72706847f84dd345
https://doi.org/10.1142/9789813226609_0507
https://doi.org/10.1142/9789813226609_0507
We work on a parallelizable time-orientable Lorentzian 4-manifold and prove that in this case the notion of spin structure can be equivalently defined in a purely analytic fashion. Our analytic definition relies on the use of the concept of a non-deg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d87042d69de3065b2d1cbb6baff24618
http://arxiv.org/abs/1611.08297
http://arxiv.org/abs/1611.08297
We study the (massless) Dirac operator on a 3-sphere equipped with Riemannian metric. For the standard metric the spectrum is known. In particular, the eigenvalues closest to zero are the two double eigenvalues +3/2 and -3/2. Our aim is to analyse th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a89811105dac82809f3a8d8c44d921bd
Autor:
Yan-Long Fang, Dmitri Vassiliev
Consider a formally self-adjoint first order linear differential operator acting on pairs (2-columns) of complex-valued scalar fields over a 4-manifold without boundary. We examine the geometric content of such an operator and show that it implicitly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b04e9fef82f73613c320124702601ab
Autor:
Yan-Long Fang, Dmitri Vassiliev
The paper deals with a formally self-adjoint first order linear differential operator acting on m-columns of complex-valued half-densities over an n-manifold without boundary. We study the distribution of eigenvalues in the elliptic setting and the p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7015c512a8daa31d33b0bc30901d48e7