Weak limits of Sobolev homeomorphisms are one to one

Kavli Affiliate: Zheng Zhu | First 5 Authors: OndÅ™ej Bouchala, Stanislav Hencl, Zheng Zhu, , | Summary: We prove that the key property in models of Nonlinear Elasticity which corresponds to the non-interpenetration of matter, i.e. injectivity a.e., can be achieved in the class of weak limits of homeomorphisms under very minimal assumptions. Let $Omegasubseteq […]


Continue.. Weak limits of Sobolev homeomorphisms are one to one

Microscopic Theory of Rashba-Edelstein Magnetoresistance

Kavli Affiliate: Mamoru Matsuo | First 5 Authors: Masaki Yama, Mamoru Matsuo, Takeo Kato, , | Summary: We theoretically study Rashba-Edelstein magnetoresistance (REMR) in a two-dimensional electron gas (2DEG) system with Rashba and Dresselhaus spin-orbit interactions. Starting from a microscopic model of a junction system composed of a ferromagnetic insulator and 2DEG, we derive analytic […]


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Exact moments for a run and tumble particle in a harmonic trap with a finite tumble time

Kavli Affiliate: Rudolf Podgornik | First 5 Authors: Aoran Sun, Fangfu Ye, Rudolf Podgornik, , | Summary: We study the problem of a run and tumble particle in a harmonic trap, with a finite run and tumble time, by a direct integration of the equation of motion. An exact 1D steady state distribution, diagram laws […]


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Correlators of long strings on AdS$_3times$S$^3times$T$^4$

Kavli Affiliate: Cheng Peng | First 5 Authors: Zhe-fei Yu, Cheng Peng, , , | Summary: In this work, we calculate correlators of long strings on AdS$_3times$S$^3times$T$^4$ with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity of the spectral […]


Continue.. Correlators of long strings on AdS$_3times$S$^3times$T$^4$

Correlators of long strings on AdS$_3times$S$^3times$T$^4$

Kavli Affiliate: Cheng Peng | First 5 Authors: Zhe-fei Yu, Cheng Peng, , , | Summary: In this work, we calculate correlators of long strings on AdS$_3times$S$^3times$T$^4$ with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity of the spectral […]


Continue.. Correlators of long strings on AdS$_3times$S$^3times$T$^4$

Correlators of long strings on AdS$_3times$S$^3times$T$^4$

Kavli Affiliate: Cheng Peng | First 5 Authors: Zhe-fei Yu, Cheng Peng, , , | Summary: In this work, we calculate correlators of long strings on AdS$_3times$S$^3times$T$^4$ with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity of the spectral […]


Continue.. Correlators of long strings on AdS$_3times$S$^3times$T$^4$

The complexity of classifying continuous t-norms up to isomorphism

Kavli Affiliate: Yi Zhou | First 5 Authors: Jialiang He, Lili Shen, Yi Zhou, , | Summary: It is shown that the isomorphism relation between continuous t-norms is Borel bireducible with the relation of order isomorphism between linear orders on the set of natural numbers, and therefore, it is Borel bireducible with every Borel complete […]


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Drone-assisted Road Gaussian Splatting with Cross-view Uncertainty

Kavli Affiliate: Cheng Peng | First 5 Authors: Saining Zhang, Baijun Ye, Xiaoxue Chen, Yuantao Chen, Zongzheng Zhang | Summary: Robust and realistic rendering for large-scale road scenes is essential in autonomous driving simulation. Recently, 3D Gaussian Splatting (3D-GS) has made groundbreaking progress in neural rendering, but the general fidelity of large-scale road scene renderings […]


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Cross-sectional imaging of speed-of-sound distribution using photoacoustic reversal beacons

Kavli Affiliate: Yi Zhou | First 5 Authors: Yang Wang, Danni Wang, Liting Zhong, Yi Zhou, Qing Wang | Summary: Photoacoustic tomography (PAT) enables non-invasive cross-sectional imaging of biological tissues, but it fails to map the spatial variation of speed-of-sound (SOS) within tissues. While SOS is intimately linked to density and elastic modulus of tissues, […]


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$boldsymbol{Steiner}$-Hardness: A Query Hardness Measure for Graph-Based ANN Indexes

Kavli Affiliate: Cheng Peng | First 5 Authors: Zeyu Wang, Qitong Wang, Xiaoxing Cheng, Peng Wang, Themis Palpanas | Summary: Graph-based indexes have been widely employed to accelerate approximate similarity search of high-dimensional vectors. However, the performance of graph indexes to answer different queries varies vastly, leading to an unstable quality of service for downstream […]


Continue.. $boldsymbol{Steiner}$-Hardness: A Query Hardness Measure for Graph-Based ANN Indexes