A look at Amsterdam's failed experiment to create a fair welfare AI system that would evaluate every welfare applicant in the city for potential fraud (MIT Technology Review)
https://www.technologyreview.com/2025/06/1
Expressivity Limits and Trainability Guarantees in Quantum Walk-based Optimization
Guilherme A. Bridi, Debbie Lim, Lirand\"e Pira, Raqueline A. M. Santos, Franklin de L. Marquezino, Soumik Adhikary
https://arxiv.org/abs/2508.05749
$C^{\infty}$-structures approach to travelling wave solutions to the gKdV equation
Antonio J. Pan-Collantes
https://arxiv.org/abs/2507.07112 https://
Reconciling Inflation with Hubble Anisotropies
Brett McInnes
https://arxiv.org/abs/2508.06796 https://arxiv.org/pdf/2508.06796
Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model
J. M. P. Carmelo, P. D. Sacramento
https://arxiv.org/abs/2509.08741
The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations
Theresa Pollinger, Masado Ishii, Jens Domke
https://arxiv.org/abs/2508.06316 https://…
Influence of interstellar environment near the solar system on cosmic-ray spectra and dipole anisotropy
Zhangxi Xue, Siming Liu
https://arxiv.org/abs/2507.07057
Amnesty International, Gaza: Evidence points to Israel’s continued use of starvation to inflict genocide against Palestinians.
https://www.amnesty.org/en/latest/news/2025/07/gaza-evidence-poi…
Droplet-gas phases and their dynamical formation in particle imbalanced mixtures
Jose Carlos Pelayo, George A. Bougas, Thom\'as Fogarty, Thomas Busch, Simeon I. Mistakidis
https://arxiv.org/abs/2506.09314
On surface energies in scaling laws for singular perturbation problems for martensitic phase transitions
Angkana R\"uland, Camillo Tissot, Antonio Tribuzio, Christian Zillinger
https://arxiv.org/abs/2507.06773 https://arxiv.org/pdf/2507.06773 https://arxiv.org/html/2507.06773
arXiv:2507.06773v1 Announce Type: new
Abstract: The objective of this article is to compare different surface energies for multi-well singular perturbation problems associated with martensitic phase transformations involving higher order laminates. We deduce scaling laws in the singular perturbation parameter which are robust in the choice of the surface energy (e.g., diffuse, sharp, an interpolation thereof or discrete). Furthermore, we show that these scaling laws do not require the presence of isotropic surface energies but that generically also highly anisotropic surface energies yield the same scaling results. More precisely, the presence of essentially generic partial directional derivatives in the regularization terms suffices to produce the same scaling behaviour as in the isotropic setting. The only sensitive directional dependences are directly linked to the lamination directions of the well structure -- and even for these only the ``inner-most'' lamination direction is of significance in determining the scaling law. In view of experimental applications, this shows that also for higher-order laminates, the precise structure of the surface energies -- which is often very difficult to determine experimentally -- does not have a crucial impact on the scaling behaviour of the investigated structures but only enters when considering finer properties.
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