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Published in 2024 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-024-01888-8
Abstract: In this paper, we mainly investigate Lax structure and tau function for the large BKP hierarchy, which is also known as Toda hierarchy of B type. Firstly, the large BKP hierarchy can be derived from…
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Keywords:
tau function;
document;
tau;
hierarchy ... See more keywords
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Published in 2019 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2019.69
Abstract: Abstract Let $\{X_{\textbf{n}} \colon \textbf{n}\in{\mathbb Z}^d\}$ be a weakly dependent stationary random field with maxima $M_{A} :=, \sup\{X_{\textbf{i}} \colon \textbf{i}\in A\}$ for finite $A\subset{\mathbb Z}^d$ and $M_{\textbf{n}} := \sup\{X_{\textbf{i}} \colon \mathbf{1} \leq \textbf{i} \leq \textbf{n}…
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Keywords:
stationary fields;
textbf colon;
maxima stationary;
mathbb ... See more keywords
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Published in 2024 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnaf304
Abstract: A pair $(A,\textbf{b})$ of a real $m\times n$ matrix $A$ and $\textbf{b}\in \mathbb{R}^{m}$ is said to be infinitely badly approximable if $$ \begin{align*} & \liminf_{\textbf{q}\in\mathbb{Z}^{n}, \|\textbf{q}\|\to\infty} \|\textbf{q}\|^{\frac{n}{m}}\|A\textbf{q}-\textbf{b}\|_{\mathbb{Z}} =\infty, \end{align*} $$where $\|\cdot \|_{\mathbb{Z}}$ denotes the distance…
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Keywords:
textbf mathbb;
badly approximable;
textbf;
approximable affine ... See more keywords
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Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.99.245202
Abstract: We reconsider a key point in semiconductor physics, the splitting of the valence band states induced by the spin-orbit interaction, through a novel approach which uses neither the group theory formalism, nor the usual $\textbf{L}\cdot\textbf{S}$…
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Keywords:
orbit coupling;
semiconductor;
valence;
textbf ... See more keywords
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Published in 2020 at "IEEE Electron Device Letters"
DOI: 10.1109/led.2020.2970432
Abstract: The aqueous-solution-processed graphitic carbon nitride/polyvinylpyrrolidone ( $\text{C}_{\textbf {3}}\text{N}_{\textbf {4}}$ /PVP) composite dielectric membrane exhibits a large specific gate electric-double-layer capacitance of $2.06~\mu \text{F}$ /cm $^{\textbf {2}}$ at 20 Hz. The indium zinc oxide (IZO) thin…
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inline formula;
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Published in 2024 at "IEEE Transactions on Microwave Theory and Techniques"
DOI: 10.1109/tmtt.2024.3383476
Abstract: This work presents a novel LiNbO3/SiO2/SiC piezoelectric-on-insulator (POI) platform for monolithic synthesis of high-performance, multiband, and compact surface acoustic wave (SAW) filters on a single die. By means of the frequency tunability of SAW technology,…
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textbf;
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Published in 2022 at "IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control"
DOI: 10.1109/tuffc.2022.3167726
Abstract: Implementation of a high-frequency ultrasound (HFUS) beamformer is computationally challenging because of its high sampling rate. This article introduces an efficient beamformer with sub-Nyquist sampling (or bandpass sampling) that is suitable for HFUS imaging. Our…
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Keywords:
inline formula;
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tex math;