On Weak Convergence of Extremal Processes
Lamperti in 1964 showed that the convergence of the marginals of an extremal process generated by independent and identically distributed random variables implies the full weak convergence in the Skorohod $J_1$-topology. This result is generalized to the $k$th extremal process and to random variables which need not be identically distributed. The proof
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DENTA: A Dual Enzymatic Nanoagent for Self‐Activating Tooth Whitening and Biofilm Disruption
The nanoapatite with dual enzymes (DENTA) accumulates in dentinal tubules, reducing hypersensitivity caused by dental nerve exposure and facilitating continuous ROS generation through salivary glucose for effective, long‐term whitening. The dentin structures remain non‐destructive due to the low concentration of ROS, demonstrating excellent cell ...
Junseok Kim +13 more
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Weak and strong convergence to fixed points of asymptotically nonexpansive mappings [PDF]
Jürgen Schu
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Magnetic‐Field Tuning of the Spin Dynamics in the Quasi‐2D Van der Waals Antiferromagnet CuCrP2S6
This study reveals 2D character of the spin dynamics in CuCrP2S6, as well as complex field dependence of collective excitations in the antiferromagnetically ordered state. Their remarkable tuning from the antiferromagnetic to the ferromagnetic type with magnetic field, together with the non‐degeneracy of the magnon gaps favorable for the induction of ...
Joyal John Abraham +16 more
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Weak convergence theorems of a hybrid algorithm in Hilbert spaces [PDF]
Yan Hao
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Fast‐Responding O2 Gas Sensor Based on Luminescent Europium Metal‐Organic Frameworks (MOF‐76)
Luminescent MOF‐76 materials based on Eu(III) and mixed Eu(III)/Y(III) show rapid and reversible changes in emission intensity in response to O2 with very short response times. The effect is based on triplet quenching of the linker ligands that act as photosensitizers. Average emission lifetimes of a few milliseconds turn out to be mostly unaffected by
Zhenyu Zhao +5 more
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Understanding Decoherence of the Boron Vacancy Center in Hexagonal Boron Nitride
State‐of‐the‐art computations unravel the intricate decoherence dynamics of the boron vacancy center in hexagonal boron nitride across magnetic fields from 0 to 3 T. Five distinct regimes emerge, dominated by nuclear spin interactions, revealing optimal coherence times of 1–20 µs in the 180–350 mT range for isotopically pure samples.
András Tárkányi, Viktor Ivády
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A sequence of discrete minimal energy configurations that does not converge in the weak-star topology [PDF]
Matthew T. Calef
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Weak convergence and optimal scaling of random walk Metropolis algorithms
G. Roberts, A. Gelman, W. Gilks
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Thermal transport in Ru and W thin films is studied using steady‐state thermoreflectance, ultrafast pump–probe spectroscopy, infrared‐visible spectroscopy, and computations. Significant Lorenz number deviations reveal strong phonon contributions, reaching 45% in Ru and 62% in W.
Md. Rafiqul Islam +14 more
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