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This talk will introduce some topics related to the study of nonlinear Schr?dinger equation on metric graphs, and then show the existence result of concentrated solutions to NLS equations on compact g...
基于量子隧穿效应的量子退火技术是利用量子隧穿现象来优化问题解的一种方法。在量子退火中,通过调控量子系统的能量和耦合强度,利用量子隧穿效应来探索解空间,并寻找最优解。这种技术可以在优化问题中快速搜索全局最小值,相较于传统算法具有潜在的加速优势。本报告重点介绍一下基于超导电路实现超导量子退火技术,Ising模型、二次无约束二值优化QUBO 模型是指(Quadratic Unconstrained Bi...
In this talk I plan to survey some progress on Hardy and BMO spaces, Riesz transforms, Bochner-Riesz means and spherical means by using the method of wave equation,and show interesting connections and...
Nematic liquid crystals (NLCs) are anisotropic material intermediate that combines the fluidity of liquids with the orientational order of solids. NLCs are best known for their applications in the thr...
托卡马克聚变等离子体遭受破裂风险,破裂产生的热流和电磁力及逃逸电子威胁装置安全。破裂不稳定性是一种多场复杂物理问题,当前认为破裂起因于一种快物理过程,通常称之为热湮灭(thermal quench),随后发生等离子体电流猝灭(current quench),破裂过程中产生快电子,最终形成逃逸电子束。本报告将主要探讨等离子体破裂机理及快电子动力学问题,促进实验发现与数学表述有机结合,深入理解破裂物理...
The uncertainty is a historic topic in quantum mechanics. In this talk, we view the uncertainty as the intrinsic property of quantum states and study it from the perspective of resource.
The classical Minkowski problem, which asks for the characterization of surface area measure in Euclidean space with Lebesgue measure, largely motivated the development of elliptic PDEs throughout the...
In this talk, we will introduce some hyperspectral image classification methods based on deep learning architecture. Recently, deep learning-based hyperspectral image classification has attracted more...
In quantum information theory, the error exponents characterize the best rate of exponential convergence of the error towards 0 or 1, as the number of copies of the underlying resources increases. In ...
We focus on numerical study of the dynamical Ginzburg-Landau equations under the temporal gauge, and propose a decoupled numerical scheme based on the finite element method. For the variable A, the se...
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
I will report my recent joint work with Jacek Jendrej on muti-solitons to the Klein-Gordon equations including their asymptotic stability and classification.
本报告将结合团队多年来在高精度方法的研究基础,围绕高精度方法的三维高超声速复杂绕流模拟瓶颈问题,详细介绍有限体积框架的假设和限制、时空耦合紧致气体动理学格式(CGKS)的构成、斜率压缩因子突破有限体积方法单元内部连续性假设的原理以及团队在CGKS方面的最新研究成果,为高超声速飞行器的高精度模拟应用提供参考。
Quantum error correction theory lies at the heart of universal quantum computing. So far, people do not find or realize good-enough error correction codes yet. In this talk, I will survey the foundati...
I will start by reviewing an old joint work with Davesh Maulik and Yukinobu Toda on relating Gromov-Witten, Gopakumar-Vafa and stable pair invariants on compact Calabi-Yau 4-folds. For non-compact CY4...

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