Skyrmion Quasi‐Bound States in the Continuum for 3D Light Trapping in Arbitrarily Large Volumes
Sign Up to like & getrecommendations! Published in 2024 at "Advanced Optical Materials"
DOI: 10.1002/adom.202401643
Abstract: Real‐world resonances face surface‐scaling radiation leakage, hindering light confinement in optically large systems. Conventional bound states in continuum (BICs) challenge this by enabling states with theoretically infinite lifetimes in 2D periodic structures. However, when fabricated,… read more here.
Keywords: arbitrarily large; states continuum; light trapping; skyrmion quasi ... See more keywords
Integral Gassman equivalence of algebraic and hyperbolic manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2077-2
Abstract: In this paper we construct arbitrarily large families of smooth projective varieties and closed Riemannian manifolds that share many algebraic and analytic invariants. For instance, every non-arithmetic, closed hyperbolic 3-manifold admits arbitrarily large collections of… read more here.
Keywords: integral gassman; hyperbolic manifolds; gassman equivalence; equivalence algebraic ... See more keywords
Arbitrarily large Tate–Shafarevich group on Abelian surfaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.10.004
Abstract: Abstract We outline a method for demonstrating arbitrarily large Tate–Shafarevich groups which does not require explicit homogeneous spaces, and we show that the Tate–Shafarevich groups over Q of absolutely simple Abelian surfaces (in particular, their… read more here.
Keywords: arbitrarily large; abelian surfaces; large tate; tate shafarevich ... See more keywords
Exact and efficient phylodynamic simulation from arbitrarily large populations
Sign Up to like & getrecommendations! Published in 2025 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2412978122
Abstract: Significance Birth–death-mutation-sampling (BDMS) models have a wide variety of applications in biology, including phylogenetics, epidemiology, and cancer genomics. Simulating evolutionary trees under these models is essential for benchmarking inference methods, but the current approach can… read more here.
Keywords: efficient phylodynamic; arbitrarily large; exact efficient; simulation ... See more keywords
Convergence Assessment of the Trajectories of a Bioreaction System by Using Asymmetric Truncated Vertex Functions
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12040513
Abstract: In several open and closed-loop systems, the trajectories converge to a region instead of an equilibrium point. Identifying the convergence region and proving the asymptotic convergence upon arbitrarily large initial values of the state variables… read more here.
Keywords: truncated functions; using asymmetric; arbitrarily large; convergence ... See more keywords