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Differential geometry applied to crystallography

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A stability theory beyond the co-rotational setting for critical wave maps blow up

Joachim Krieger, Shuang Miao

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some sufficiently smooth topology and vanishes near the light co ...

2020

Differential geometry applied to crystallography

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A stability theory beyond the co-rotational setting for critical wave maps blow up

Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type

Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case

Quantum spin liquid phases in the bilinear-biquadratic two-SU(4)-fermion Hamiltonian on the square lattice

A Distributed Cyber-Attack Detection Scheme With Application to DC Microgrids

Perceptual grouping leads to objecthood effects in the Ebbinghaus illusion

Shapes From Echoes: Uniqueness From Point-to-Plane Distance Matrices

Bayesian Optimization Meets Riemannian Manifolds in Robot Learning

Escaping from saddle points on Riemannian manifolds

A General Theory of Equivariant CNNs on Homogeneous Spaces