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pro vyhledávání: '"Yu, Chengjie"'
Channel estimation is a fundamental task in communication systems and is critical for effective demodulation. While most works deal with a simple scenario where the measurements are corrupted by the additive white Gaussian noise (AWGN), this work add
Externí odkaz:
http://arxiv.org/abs/2412.05582
Publikováno v:
J Geom Anal 32, 279 (2022)
In this note, we obtain the rigidity of the sharp Cheng-Yau gradient estimate for positive harmonic functions on surfaces with nonegative Gaussian curvature, the rigidity of the sharp Li-Yau gradient estimate for positive solutions to heat equations
Externí odkaz:
http://arxiv.org/abs/2208.02944
Autor:
Yu, Chengjie, Yu, Yingtao
In this paper, we study extremal problems of Steklov eigenvalues on combinatorial graphs by extending Friedman's theory [Duke Math. J. 69 (1993), no. 3, 487--525] of nodal domains for Laplacian eigenfunctions to Steklov eigenfunctions, and solve an e
Externí odkaz:
http://arxiv.org/abs/2202.06576
Autor:
Yu, Chengjie, Yu, Yingtao
In this paper, we obtain monotonicity of Steklov eigenvalues on graphs which as a special case on trees extends the results of He-Hua [Calc. Var. Partial Differential Equations 61 (2022), no. 3, Paper No. 101, arXiv: 2103.07696] to higher Steklov eig
Externí odkaz:
http://arxiv.org/abs/2112.12885
Autor:
Yu, Chengjie, Zhang, Chuangyuan
In this short note, by using a general three circle theorem, we show the rigidity of the sharp Bezout estimate first found by Gang Liu on nonnegatively curved Riemann surface.
Comment: Add in a proof for Theorem 1.2. More printing mistakes are c
Comment: Add in a proof for Theorem 1.2. More printing mistakes are c
Externí odkaz:
http://arxiv.org/abs/2110.14876
Autor:
Yu, Chengjie, Zhang, Chuangyuan
In this paper, we extend Gang Liu's three circle theorem for K\"ahler manifolds to almost Hermitian manifolds. As applications of the three circle theorem, we obtain sharp dimension estimates for spaces of holomorphic functions of polynomial growth a
Externí odkaz:
http://arxiv.org/abs/2110.12566
Autor:
Yu, Chengjie
In this paper, we extend the fundamental theorem for submanifolds to general ambient spaces by viewing it as a higher codimensional Cartan-Ambrose-Hicks theorem. The key ingredient in obtaining this is a generalization of development of curves in the
Externí odkaz:
http://arxiv.org/abs/2109.03474
Publikováno v:
In Intensive & Critical Care Nursing April 2024 81
Autor:
Shi, Yongjie, Yu, Chengjie
In this paper, we obtain some comparisons of the Dirichlet, Neumann and Laplacian eigenvalues on graphs. We also discuss their rigidities and some of their applications including some Lichnerowicz-type, Fiedler-type and Friedman-type estimates for Di
Externí odkaz:
http://arxiv.org/abs/2011.04160
Autor:
Shi, Yongjie, Yu, Chengjie
In this paper, we obtain a Lichnerowicz-type estimate for the first Steklov eigenvalues on graphs and discuss its rigidity.
Comment: All comments are welcome
Comment: All comments are welcome
Externí odkaz:
http://arxiv.org/abs/2010.13966