Concept
Constant curvature
Related publications (24)
Anomalous and Chern topological waves in hyperbolic networks
Romain Christophe Rémy Fleury, Haoye Qin, Aleksi Antoine Bossart, Zhechen Zhang
Hyperbolic lattices are a new type of synthetic materials based on regular tessellations in non-Euclidean spaces with constant negative curvature. While so far, there has been several theoretical investigations of hyperbolic topological media, experimental ...
2024In-situ atomic level observation of the strain response of graphene lattice
Strain is inevitable in two-dimensional (2D) materials, regardless of whether the film is suspended or supported. However, the direct measurement of strain response at the atomic scale is challenging due to the difficulties of maintaining both flexibility ...
NATURE PORTFOLIO2023An Accelerated First-Order Method for Non-convex Optimization on Manifolds
Nicolas Boumal, Christopher Arnold Criscitiello
We describe the first gradient methods on Riemannian manifolds to achieve accelerated rates in the non-convex case. Under Lipschitz assumptions on the Riemannian gradient and Hessian of the cost function, these methods find approximate first-order critical ...
SPRINGER2022Adaptive Gradient Descent without Descent
We present a strikingly simple proof that two rules are sufficient to automate gradient descent: 1) don’t increase the stepsize too fast and 2) don’t overstep the local curvature. No need for functional values, no line search, no information about the func ...
2020Towards a geometry independent traction-separation and angle relation due to large scale bridging in DCB configuration
Traction-separation relations due to large scale bridging in composites are very important in modeling their fracture response. Several works demonstrated that such relations are dependent upon the specimen's stiffness and loading conditions. Experimental ...
ELSEVIER SCI LTD2020Membrane invagination induced by Shiga toxin B-subunit: from molecular structure to tube formation
The bacterial Shiga toxin is composed of an enzymatically active A-subunit, and a receptor-binding homopentameric B-subunit (STxB) that mediates intracellular toxin trafficking. Upon STxB-mediated binding to the glycolipid globotriaosylceramide (Gb3) at th ...
Royal Society of Chemistry2016