Results 71 to 80 of about 16,537 (248)

A Joint Limit Theorem for Epstein and Hurwitz Zeta-Functions

Mathematics
In the paper, we prove a joint limit theorem in terms of the weak convergence of probability measures on C2 defined by means of the Epstein ζ(s;Q) and Hurwitz ζ(s,α) zeta-functions. The limit measure in the theorem is explicitly given.
Hany Gerges, Antanas Laurinčikas, Renata Macaitienė   +2 more
doaj   +1 more source

Weak convergence of probability measures to Choquet capacity functionals

TURKISH JOURNAL OF MATHEMATICS, 2018
Summary: In the definition of weak convergence of probability measures, it is assumed that the limit is a probability measure as well. We get rid of this assumption and require that the limit merely needs to be a Choquet-capacity functional. In terms of random variables, this means that the distributional limit no longer is a random point, but a random
openaire   +3 more sources

Weak convergence of probabilities on nonseparable metric spaces and empirical measures on Euclidean spaces [PDF]

Illinois Journal of Mathematics, 1966
It is known that under certain mild set-theoretic assumptions, a finite, countably additive measure defined on all Borel sets of a metric space is concentrated in a separable subspace (Marczewski and Sikorski [8]). However, there are interesting probability measures on metric spaces not concentrated in separable subspaces.
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Selective Growth of Bulk‐Like Perovskite in Plasmonic Nanoholes for Enhanced Two‐Photon‐Excited Emission

Advanced Materials, EarlyView.
Vacuum‐assisted capillary infiltration delivers perovskite precursors deep into gold nanohole plasmonic hotspots, enabling uniform in situ crystallization of bulk‐like CsPbBr3 within confined cavities. Verified by peel‐off and structural analyses, the hybrid platform shows simulated |E/E₀| ≈2.80 at 800 nm and ∼40‐fold two‐photon absorption‐enhanced ...
Jung‐Jae Do, Bryan K. Chantigian, Daniel Upcraft, Wonwoo Lee, Ho‐Sung Shin, Nathan C. Lindquist, Jae Woong Jung, Bharat Jalan, Sang‐Hyun Oh   +8 more
wiley   +1 more source

On generalized shifts of the Mellin transform of the Riemann zeta-function

Open Mathematics
In this article, we consider the asymptotic behaviour of the modified Mellin transform Z(s){\mathcal{Z}}\left(s), s=σ+its=\sigma +it, of the Riemann zeta-function using weak convergence of probability measures in the space of analytic functions defined ...
Laurinčikas Antanas, Šiaučiūnas Darius   +1 more
doaj   +1 more source

Space‐Time Coding Conformal Metasurfaces for Multifrequency Beam Steering and Shaping

Advanced Materials, EarlyView.
Space‐time coding conformal metasurfaces enable dynamic wave control on curved surfaces by combining programmable spatial patterns with temporal modulation. This study shows that a single conformal aperture can independently manipulate multiple frequency components, achieving multifunctional beam shaping and steering, with implications for ...
Filippo Pepe, Lei Zhang, Yi Ning Zheng, Xiao Qing Chen, Ivan Iudice, Giuseppe Castaldi, Marco Di Renzo, Tie Jun Cui, Vincenzo Galdi   +8 more
wiley   +1 more source

Reversible Hydration Tuning of Polar Order and Large Nonlinear Optical Response in a 2D van der Waals Crystal, LiInP2S6

Advanced Materials, EarlyView.
Hydration‐induced symmetry breaking transforms layered LiInP2S6${\rm LiInP}_2{\rm S}_6$ from a nonpolar to a chiral‐polar phase, producing a giant enhancement of non‐resonant second‐harmonic generation. The reversible tuning of polar order through molecular intercalation establishes a strategy for dynamically controlling nonlinear optical ...
Jadupati Nag, Saugata Sarker, Michael J. Waters, Safdar Imam, Himirkanti Sarkar, Anthony Richardella, James M. Rondinelli, Mercouri G. Kanatzidis, Venkatraman Gopalan   +8 more
wiley   +1 more source

On Value Distribution for the Mellin Transform of the Fourth Power of the Riemann Zeta Function

Axioms
In this paper, the asymptotic behavior of the modified Mellin transform Z2(s), s=σ+it, of the fourth power of the Riemann zeta function is characterized by weak convergence of probability measures in the space of analytic functions.
Virginija Garbaliauskienė, Audronė Rimkevičienė, Mindaugas Stoncelis, Darius Šiaučiūnas   +3 more
doaj   +1 more source

Selective Electrochemical NOx Reduction to N2 for Sustainable Ammonia Energy Systems

Advanced Materials, EarlyView.
Selective electrochemical NOx reduction to N2 offers a promising route to mitigate combustion‐derived NOx emissions in ammonia energy systems. This Perspective links *NO‐mediated pathways, the key intermediate role of N2O, and low‐coverage limitations to the origins of limited N2 selectivity, establishing tandem catalysis and microenvironment ...
Zeliang Wu, Yixin Chen, Zuxin Wen, Xianbiao Fu   +3 more
wiley   +1 more source

Weak Convergence of Probability Measures Revisited

, 1987
The hypo-convergence of upper semicontinuous functions provides a natural framework for the study of the convergence of probability measures. This approach also yields some further characterizations of weak convergence and tightness.
Salinetti, G., Wets, R.J.-B.
openaire   +1 more source