More Like this

1. Final results on $${}^\mathbf{82 }{\hbox {Se}}$$82Se double beta decay to the ground state of $${}^\mathbf{82 }{\hbox {Kr}}$$82Kr from the NEMO-3 experiment

   https://doi.org/10.1140/epjc/s10052-018-6295-x  

   Arnold, R.; Augier, C.; Barabash, A. S.; Basharina-Freshville, A.; Blondel, S.; Blot, S.; Bongrand, M.; Boursette, D.; Brudanin, V.; Busto, J.; et al (October 2018, The European Physical Journal C)
2. Multiplicity dependence of charged-particle jet production in pp collisions at $$\mathbf {\sqrt{s}}=\mathbf {13~TeV}$$

   https://doi.org/10.1140/epjc/s10052-022-10405-x  

   Acharya, S.; Adamová, D.; Adler, A.; Adolfsson, J.; Aglieri Rinella, G.; Agnello, M.; Agrawal, N.; Ahammed, Z.; Ahmad, S.; Ahn, S. U.; et al (June 2022, The European Physical Journal C)

   Abstract The multiplicity dependence of jet production in pp collisions at the centre-of-mass energy of $$\sqrt{s} = 13\ {\mathrm {TeV}}$$ s = 13 TeV is studied for the first time. Jets are reconstructed from charged particles using the anti- $$k_\mathrm {T}$$ k T algorithm with resolution parameters R varying from 0.2 to 0.7. The jets are measured in the pseudorapidity range $$|\eta _{\mathrm{jet}}|< 0.9-R$$ | η jet | < 0.9 - R and in the transverse momentum range $$5 

   more » « less
3. A $$2{\mathbf{n}}^2-{\text{log}}_2({\mathbf{n}})-1$$ lower bound for the border rank of matrix multiplication

   https://doi.org/10.1093/imrn/rnx025  

   Landsberg, Joseph M; Michałek, Mateusz (March 2017, International Mathematics Research Notices)
4. Rotations with Constant $$\mathbf {{\text {curl }}}$$ are Constant

   https://doi.org/10.1007/s00205-022-01764-6  

   Ginster, Janusz; Acharya, Amit (June 2022, Archive for Rational Mechanics and Analysis)

   Abstract We address a problem that extends a fundamental classical result of continuum mechanics from the time of its inception, as well as answers a fundamental question in the recent, modern nonlinear elastic theory of dislocations. Interestingly, the implication of our result in the latter case is qualitatively different from its well-established analog in the linear elastic theory of dislocations. It is a classical result that if $$u\in C^2({\mathbb {R}}^n;{\mathbb {R}}^n)$$ u ∈ C 2 ( R n ; R n ) and $$\nabla u \in SO(n)$$ ∇ u ∈ S O ( n ) , it follows that u is rigid. In this article this result is generalized to matrix fields with non-vanishing $${\text {curl }}$$ curl . It is shown that every matrix field $$R\in C^2(\varOmega ;SO(3))$$ R ∈ C 2 ( Ω ; S O ( 3 ) ) such that $${\text {curl }}R = constant$$ curl R = c o n s t a n t is necessarily constant. Moreover, it is proved in arbitrary dimensions that a measurable rotation field is as regular as its distributional $${\text {curl }}$$ curl allows. In particular, a measurable matrix field $$R: \varOmega \rightarrow SO(n)$$ R : Ω → S O ( n ) , whose $${\text {curl }}$$ curl in the sense of distributions is smooth, is also smooth. 

   more » « less
5. Widespread D″ $${\mathbf{D}}^{\mathbf{{\prime\prime}}}$$ Anisotropy Beneath North America and the Northeastern Pacific and Implications for Upper Mantle Anisotropy Measurements

   https://doi.org/10.1029/2024JB029516  

   Wolf, Jonathan; Frost, Daniel_A; Brewster, Alexia; Long, Maureen_D; Garnero, Ed; West, John_D (October 2024, Journal of Geophysical Research: Solid Earth)

   Abstract Observations of seismic waves that have passed through the Earth's lowermost mantle provide insight into deep mantle structure and dynamics, often on relatively small spatial scales. Here we use SKS, S2KS, S3KS, and PKS signals recorded across a large region including the United States, Mexico, and Central America to study the deepest mantle beneath large swaths of North America and the northeastern Pacific Ocean. These phases are enhanced via beamforming and then used to investigate polarization‐ and propagation direction‐dependent shear wave speeds (seismic anisotropy). A differential splitting approach enables us to robustly identify contributions from anisotropy. Our results show strong seismic anisotropy in approximately half of our study region, indicating that anisotropy may be more prevalent than commonly thought. In some regions, the anisotropy may be induced by flow driven by sinking cold slabs, and in other, more compact regions, by upwelling flow. Measured splitting due to lowermost mantle anisotropy is sufficiently strong to be non‐negligible in interpretations of SKS splitting due to upper mantle anisotropy in certain regions, which may prompt future re‐evaluations of upper mantle anisotropy beneath North and Central America. 

   more » « less