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Limiting absorption principle for contractions

We establish limiting absorption principles for contractions on a Hilbert space. Our sufficient conditions are based on positive commutator estimates. We discuss the dynamical implications of this principle to the corresponding discrete-time semigrou

Externí odkaz: http://arxiv.org/abs/2405.11664

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Identifying the spin trapped character of the $^{32}$Si isomeric state

The properties of a nanosecond isomer in $^{32}$Si, disputed in previous studies, depend on the evolution of proton and neutron shell gaps near the `island of inversion'. We have placed the isomer at 5505.2(2) keV with $J^{\pi} = 5^-$, decaying prima

Externí odkaz: http://arxiv.org/abs/2311.09163

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Riemannian Residual Neural Networks

Autor: Katsman, Isay, Chen, Eric Ming, Holalkere, Sidhanth, Asch, Anna, Lou, Aaron, Lim, Ser-Nam, De Sa, Christopher

Recent methods in geometric deep learning have introduced various neural networks to operate over data that lie on Riemannian manifolds. Such networks are often necessary to learn well over graphs with a hierarchical structure or to learn over manifo

Externí odkaz: http://arxiv.org/abs/2310.10013

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Slow passage through the Busse balloon -- predicting steps on the Eckhaus staircase

Autor: Asch, Anna, Avery, Montie, Cortez, Anthony, Scheel, Arnd

Motivated by the impact of worsening climate conditions on vegetation patches, we study dynamic instabilities in an idealized Ginzburg-Landau model. Our main results predict time instances of sudden drops in wavenumber and the resulting target states

Externí odkaz: http://arxiv.org/abs/2309.14959

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