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Cut-off Phenomenon for Converging Processes in the Sense of α-Divergence Measures
The cut-off phenomenon is observed in many processes, among which several Markov chains and random walks. This particular behaviour of some...
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On Some Developments of the Stokes Phenomenon
This talk is a survey of our series of works. It focuses on the Stokes phenomenon of the meromorphic linear systems of Poincaré rank 1. In...
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Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth
In the past few decades, much attention has been paid to the bubbling problem for semilinear Neumann elliptic equations with the critical and...
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Strategic planning of an underground mine with variable cut-off grades
We present a mixed-integer programming model for solving the long-term planning problem of an underground mine. This model, which establishes the...
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Laurent phenomenon algebras arising from surfaces II: Laminated surfaces
It was shown by Fock and Goncharov (Dual Teichmüller and lamination spaces. Handbook of Teichmüller Theory, 2007), and Fomin et al. (Acta Math...
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Cut-off phenomenon for random walks on free orthogonal quantum groups
We give bounds in total variation distance for random walks associated to pure central states on free orthogonal quantum groups. As a consequence, we...
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Novel mode-coupling vibrations of AlN thin film bulk acoustic resonator operating with thickness-extensional mode
The dispersion curves of bulk waves propagating in both AlN and ZnO film bulk acoustic resonators (FBARs) are presented to illustrate the mode flip...
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Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery
Flexible solid-state battery has several unique characteristics including high flexibility, easy portability, and high safety, which may have broad...
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Numerical calculation of the lean-blow-out in a multi-jet burner
The report presents the results of the project TurboRe, which focuses on the numerical investigation of lean-blow-out phenomenon in a multi jet flame...
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High dimensional binary classification under label shift: phase transition and regularization
Label Shift has been widely believed to be harmful to the generalization performance of machine learning models. Researchers have proposed many...
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Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise
The phenomenon of dissipation enhancement by transport noise is shown for stochastic 2D Navier–Stokes equations in velocity form. In the 3D case,...
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General Considerations and Kinematical Aspects of Motion
PappusPappusof Alexandria redefined the Euclidean construction game. AristotleAristotle and AugustineAugustineSt. pondered the nature of the...
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Nonlinear modal coupling in a T-shaped piezoelectric resonator induced by stiffness hardening effect
The nonlinear modal coupling in a T-shaped piezoelectric resonator, when the former two natural frequencies are away from 1:2, is studied....
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Complexity of Branch-and-Bound and Cutting Planes in Mixed-Integer Optimization — II
We study the complexity of cutting planes and branching schemes from a theoretical point of view. We give some rigorous underpinnings to the...
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A High-Order Two-Grid Difference Method for Nonlinear Time-Fractional Biharmonic Problems and Its Unconditional \(\alpha \)-Robust Error Estimates
In this work, we propose and analyze a high-order map** operator between two grids to construct a high-order two-grid difference algorithm for...
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Common physical theory for quantum/classical particles in complex vector space
A common physical theory connecting both quantum and classical phenomena has been developed. A particle like electron can be visualized to possess an...
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Extremal metrics on the total space of destabilising test configurations
We construct extremal metrics on the total space of certain destabilising test configurations for strictly semistable Kähler manifolds. This produces...