Results 91 to 100 of about 624,973 (302)
Electronic Journal of Differential Equations, 2017 For the n-th eigenvalue of a Sturm-Liouville eigenvalue problem with separated boundary conditions, we express the infimum of the $L^1[0,1]$ norm of potentials, in terms of a parameter $\lambda$ and the boundary conditions. Also we indicate where the
Hongjie Guo, Jiangang Qi
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Topologically Protected Negative Entanglement
Advanced Science, EarlyView.It is revealed that topological flat‐band edge states can lead to robust unconventional negative entanglement entropy scaling. This arises from a new mechanism of non‐Hermitian critical skin compression (nHCSC), which strongly “compresses” quantum information beyond flat‐band degeneracy.
Wen‐Tan Xue, Ching Hua Lee
wiley +1 more source
Mathematical model for the basilar membrane as a two dimensional plate
Electronic Journal of Differential Equations, 1999 In this paper we present two mathematical models for the basilar membrane. In the first model the membrane is represented as an annular region. In the second model the basilar membrane is treated as a rectangular region.
H. Y. Alkahby
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A Clarification on Quantum‐Metric‐Induced Nonlinear Transport
Advanced Science, EarlyView.How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Xiao‐Bin Qiang +4 more
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Large deviations for the largest eigenvalue of an Hermitian Brownian motion
, 2012 We establish a large deviation principle for the process of the largest eigenvalue of an Hermitian Brownian motion. By a contraction principle, we recover the LDP for the largest eigenvalue of a rank one deformation of the ...
Donati-Martin, Catherine +1 more
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On the extreme eigenvalues of Toeplitz matrices [PDF]
, 1961 Seymour V. Parter
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Locating Eigenvalues of a Symmetric Matrix whose Graph is Unicyclic
, 2021 Rodrigo O. Braga +2 more
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Advanced Science, EarlyView.This study introduces a versatile platform for quantifying three dimensional traction forces at bio‐adhesive interfaces. Integrating in situ stereo‐digital image correlation with finite element simulations allows for precise measurement of microscale displacements and traction forces in both dry and wet conditions.
Yingwei Hou, Fusheng Wang, Tao Liu
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Advanced Science, EarlyView.We show that solutal Marangoni flows in thin films climbing the outer surfaces of hydrophilic obstacles break circular Belousov‐Zhabotinsky waves into striking flower‐like patterns. Evaporation‐driven surface‐tension gradients, coupled with gravity, trigger the instability; above a threshold, petal number scales linearly with obstacle diameter ...
Sangram Gore +9 more
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Fundamental tone of minimal hypersurfaces with finite index in hyperbolic space
Journal of Inequalities and Applications, 2016 Let M be a complete minimal hypersurface in hyperbolic space H n + 1 ( − 1 ) $\mathbb {H}^{n+1}(-1)$ with constant sectional curvature −1. We prove that if M has a finite index and finite L 2 $L^{2}$ norm of the second fundamental form, then the ...
Keomkyo Seo
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