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Topics in Cognitive Science, EarlyView., 2023 Abstract Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation ...
Sebastian Wallot +5 more
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, 2011 Symmetries in quantum mechanics are realized by the projective representations of the Lie group as physical states are defined only up to a phase. A cornerstone theorem shows that these representations are equivalent to the unitary representations of the
Campoamor-Stursberg, R. +2 more
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Journal of Inequalities and ApplicationsWe consider the logarithmic Sobolev inequality on the Heisenberg group. One can derive the logarithmic Sobolev inequality from the Sobolev inequality, and we consider an application to the uncertainty inequality on the Heisenberg group. Moreover, one can
Takeshi Suguro
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Benedicks’ theorem for the Heisenberg group [PDF]
Proceedings of the American Mathematical Society, 2010 If $f$ is a compactly supported function on the Heisenberg group and the group Fourier transform $\hat{f}( )$ is a finite rank operator for all $ $ then $f$ is the zero function.
P. K. Ratnakumar, E. K. Narayanan
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Advanced Science, EarlyView.A radical salt undergoes a paraelastic‐ferroelastic phase transition, which is coupled with spin‐Peierls transition, resulting in it integrating self‐strain, spin bistability, switchable dielectric and high‐ properties. Abstract Materials that exhibit controllable changes in electrical, magnetic, or spontaneous strain properties, particularly those ...
Xuan‐Rong Chen +5 more
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Major Reference Works, Page 169-176., 2023 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
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Monogenic Functions and Representations of Nilpotent Lie Groups in Quantum Mechanics
, 1998 We describe several different representations of nilpotent step two Lie groups in spaces of monogenic Clifford valued functions. We are inspired by the classic representation of the Heisenberg group in the Segal-Bargmann space of holomorphic functions ...
Cnops, Jan, Kisil, Vladimir
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Advanced Science, EarlyView.It is shown that anisotropic strain offers a novel approach to control the magnetic ground state in heterostructures of a Kagome antiferromagnet, unlocking new functionalities. This strain induces finite scalar spin chirality, resulting in a pronounced Berry curvature in momentum space, leading to room‐temperature anomalous Hall effect.
Debjoty Paul +11 more
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Umbilic hypersurfaces of constant sigma-k curvature in the Heisenberg group
, 2015 We study immersed, connected, umbilic hypersurfaces in the Heisenberg group $H_{n}$ with $n$ $\geq $ $2.$ We show that such a hypersurface, if closed, must be rotationally invariant up to a Heisenberg translation.
Cheng, Jih-Hsin +3 more
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Construction of Frames on the Heisenberg Groups
Analysis and Geometry in Metric Spaces, 2020 In this paper, we present a construction of frames on the Heisenberg group without using the Fourier transform. Our methods are based on the Calderón-Zygmund operator theory and Coifman’s decomposition of the identity operator on the Heisenberg group ...
Chang Der-Chen +2 more
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