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pro vyhledávání: '"Chen, Xuezhi"'
In this paper, we study the $L^p$ maximal estimates for the Weyl sums $\sum_{n=1}^{N}e^{2\pi i(nx + n^{k}t)}$ with higher-order $k\ge3$ on $\mathbb{T}$, and obtain the positive and negative results. Especially for the case $k=3$, our result is sharp
Externí odkaz:
http://arxiv.org/abs/2408.15527
Autor:
Chen, Xuezhi, Miao, Changxing
Publikováno v:
Int. Math. Res. Not., 2024:10865-10879(2024)
Let $\gamma(t)=(P_1(t),\ldots,P_n(t))$ where $P_i$ is a real polynomial with zero constant term for each $1\leq i\leq n$. We will show the existence of the configuration $\{x,x+\gamma(t)\}$ in sets of positive density $\epsilon$ in $[0,1]^n$ with a g
Externí odkaz:
http://arxiv.org/abs/2405.15400
Autor:
Lou, Rui, Zhou, Liqin, Song, Wenhua, Fedorov, Alexander, Tu, Zhijun, Jiang, Bei, Wang, Qi, Li, Man, Liu, Zhonghao, Chen, Xuezhi, Rader, Oliver, Büchner, Bernd, Sun, Yujie, Weng, Hongming, Lei, Hechang, Wang, Shancai
Kagome magnets provide a fascinating platform for the realization of correlated topological quantum phases under various magnetic ground states. However, the effect of the magnetic spin configurations on the characteristic electronic structure of the
Externí odkaz:
http://arxiv.org/abs/2309.06399
Autor:
Chen, Xuezhi, Wang, Le, Ishizuka, Jun, Nogaki, Kosuke, Cheng, Yiwei, Yang, Fazhi, Zhang, Renjie, Chen, Zhenhua, Zhu, Fangyuan, Yanase, Youichi, Lv, Baiqing, Huang, Yaobo
Publikováno v:
Phys. Rev. X 14, 021048 (2024)
In quantum many-body systems, particularly, the ones with large near-EF density states, like flat bands or van Hove singularity (VHS), electron correlations often give rise to rich phase diagrams with multiple coexisting/competing orders occurring at
Externí odkaz:
http://arxiv.org/abs/2309.05895
Autor:
Chen, Xuezhi, Guo, Jingwei
We prove a quantitative Roth-type theorem for polynomial corners in $\mathbb{R}^2$. Let $P_1$ and $P_2$ be two linearly independent polynomials with zero constant term. We show that any measurable subset of $[0,1]^2$ with positive measure contains th
Externí odkaz:
http://arxiv.org/abs/2307.00271
Publikováno v:
Zhongguo quanke yixue, Vol 26, Iss 30, Pp 3823-3832 (2023)
Background Post-stroke insomnia is one of the most common post-stroke complications, which seriously damages the quality of life and delays the process of rehabilitation. Clinical studies have shown that Western medicine alone, Chinese patent medicin
Externí odkaz:
https://doaj.org/article/50e007c6ca29464eb415af1365848ed7
We give two Roth theorems, related to the nonlinear configuration $x$, $x+P_1(t)$, $x+P_2(t)$ involving two polynomials, for sets in $\mathbb{R}$ of positive density and of fractional dimensions. The proof uses Fourier analysis.
Externí odkaz:
http://arxiv.org/abs/2008.13011
Akademický článek
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Autor:
Chen, Xuezhi, Guo, Jingwei
Publikováno v:
Mathematische Annalen; Sep2024, Vol. 390 Issue 1, p255-301, 47p
Autor:
Liu, Ying, Chen, Xuezhi, Liu, Xianchen, Yu, Hao, Zhou, Lianjun, Gao, Xiaoling, Li, Qinglin, Su, Shujun, Wang, Lin, Zhai, Jia
Publikováno v:
In European Journal of Radiology Open 2022 9