Concept

3D rotation group

Related publications (78)

Landau Levels as a Probe for Band Topology in Graphene Moire Superlattices

We propose Landau levels as a probe for the topological character of electronic bands in two-dimensional moire superlattices. We consider two configurations of twisted double bilayer graphene (TDBG) that have very similar band structures, but show differen ...

AMER PHYSICAL SOC2021

Extracellular matrix requirements for gastrointestinal organoid cultures

Organoids are a new class of biological model systems that have garnered significant interest in the life sciences. When provided with the proper 3D matrix and biochemical factors, stem cells can self-organize and form tissue-specific organoids. Thus far, ...

2021

Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe

Oleg Yazyev, Quansheng Wu

Weyl points in three-dimensional systems with certain symmetry carry non-Abelian topological charges, which can be transformed via non-trivial phase factors that arise upon braiding these points inside the reciprocal space. Weyl semimetals in three-dimensi ...

NATURE PUBLISHING GROUP2020

Recursive evaluation and iterative contraction of N-body equivariant features

Michele Ceriotti, Sergey Pozdnyakov, Jigyasa Nigam

Mapping an atomistic configuration to a symmetrized N-point correlation of a field associated with the atomic positions (e.g., an atomic density) has emerged as an elegant and effective solution to represent structures as the input of machine-learning algo ...

2020

Spherical Convolutionnal Neural Networks: Empirical Analysis of SCNNs

Frédérick Matthieu Gusset

Convolutional neural networks (CNNs) are powerful tools in Deep Learning mainly due to their ability to exploit the translational symmetry present in images, as they are equivariant to translations. Other datasets present different types of symmetries (e.g ...

2019

H∞ and μ-Synthesis for Nanosatellites Rendezvous and Docking

Volker Gass, Camille Sébastien Pirat

In this brief, the nanosatellite rendezvous and docking problem is tackled. It was never attempted for small spacecraft, as critical technologies, such as six-degree-of-freedom (DoF) micropropulsion systems, have only recently become available due to advan ...

2019

The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices

Nicolas Macris, Florent Gérard Krzakala, Jean François Emmanuel Barbier

There has been definite progress recently in proving the variational single-letter formula given by the heuristic replica method for various estimation problems. In particular, the replica formula for the mutual information in the case of noisy linear esti ...

IEEE2018

Differential effects of vestibular processing on orienting exogenous and endogenous covert visual attention

Olaf Blanke, Andrea Serino, Mariia Kaliuzhna, Steve Michel Berger

Recent research highlights the overwhelming role of vestibular information for higher order cognition. Central to body perception, vestibular cues provide information about self-location in space, self-motion versus object motion, and modulate the percepti ...

2018

On-Manifold Preintegration for Real-Time Visual-Inertial Odometry

Davide Scaramuzza

Current approaches for visual-inertial odometry (VIO) are able to attain highly accurate state estimation via nonlinear optimization. However, real-time optimization quickly becomes infeasible as the trajectory grows over time; this problem is further emph ...

2017

Rotational stiffness of web-flange junctions of pultruded GFRP decks

Thomas Keller, Julia De Castro San Roman Fest, Sonia Yanes Armas

The rotational behavior of the web-flange junctions (WFJs) of a pultruded glass fiber-reinforced polymer (GFRP) bridge deck system with trapezoidal cell cross-sectional geometry was investigated. The rotational response of three WFJ types, in two bending m ...

Elsevier2017

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