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pro vyhledávání: '"Lu, Xuguang"'
Effective extraction and application of linguistic features are central to the enhancement of spoken Language IDentification (LID) performance. With the success of recent large models, such as GPT and Whisper, the potential to leverage such pre-train
Externí odkaz:
http://arxiv.org/abs/2312.10964
We continue our previous work [Ling-Bing He, Xuguang Lu and Mario Pulvirenti, Comm. Math. Phys., 386(2021), no. 1, 143223.] on the limit of the spatially homogeneous quantum Boltzmann equation as the Planck constant $\epsilon$ tends to zero, also kno
Externí odkaz:
http://arxiv.org/abs/2309.00891
Autor:
Liu, Bocheng, Lu, Xuguang
In this paper we prove the strong and time-averaged strong convergence to equilibrium for solutions (with general initial data) of the spatially homogeneous Boltzmann equation for Fermi-Dirac particles. The assumption on the collision kernel includes
Externí odkaz:
http://arxiv.org/abs/2212.09287
Autor:
Lu, Xuguang
The classification of equilibria for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles is proved for any $n$-dimensional velocity space with $n\ge 2$. The same classification has been proven in \cite{Lu2001} for $n=3$. Now the pr
Externí odkaz:
http://arxiv.org/abs/2206.04001
It is expected in physics that the homogeneous quantum Boltzmann equation with Fermi-Dirac or Bose-Einstein statistics and with Maxwell-Boltzmann operator (neglecting effect of the statistics) for the weak coupled gases will converge to the homogeneo
Externí odkaz:
http://arxiv.org/abs/2010.01529
Akademický článek
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Autor:
Cai, Shuzhe, Lu, Xuguang
The paper is a continuation of our previous work on the spatially homogeneous Boltzmann equation for Bose-Einstein particles with quantum collision kernel that includes the hard sphere model. Solutions $F_t$ under consideration that conserve the mass
Externí odkaz:
http://arxiv.org/abs/1808.04038
Autor:
Liu, Bocheng1 (AUTHOR), Lu, Xuguang1 (AUTHOR) xglu@mail.tsinghua.edu.cn
Publikováno v:
Journal of Statistical Physics. Aug2023, Vol. 190 Issue 8, p1-36. 36p.
Autor:
Li, Wenyi, Lu, Xuguang
In this paper we prove the global in time existence and uniqueness of solutions of the spatially homogeneous Boltzmann equation for Bose-Einstein particles for the hard sphere model for bounded anisotropic initial data. The main idea of our proof is
Externí odkaz:
http://arxiv.org/abs/1706.06235
Autor:
Li, Wenyi, Lu, Xuguang
Publikováno v:
In Journal of Functional Analysis 1 January 2019 276(1):231-283