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A Hessian-Dependent Functional With Free Boundaries and Applications to Mean-Field Games
We study a Hessian-dependent functional driven by a fully nonlinear operator. The associated Euler-Lagrange equation is a fully nonlinear mean-field...
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Adaptive Third-Order Fixed Time Sliding Mode Control with Chattering Free for Mobile Loading Arm Systems
The mobile loading arm (MLA) system is one of the most important mechanical equipments in the petrochemical industry consisting of rigid pipelines...
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Stabilization-free HHO a posteriori error control
The known a posteriori error analysis of hybrid high-order methods treats the stabilization contribution as part of the error and as part of the...
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Scale-Free Networks Enhance the Spread of Better Strategy
In this study, we mathematically demonstrate that heterogeneous networks accelerate the social learning process, using a mean-field approximation of...
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Optimal distribution-free concentration for the log-likelihood function of Bernoulli variables
This paper aims to establish distribution-free concentration inequalities for the log-likelihood function of Bernoulli variables, which means that...
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On Ergodic States, Spontaneous Symmetry Breaking and Quasi-Averages
It is shown that the Bogoliubov quasi-averages select the pure or ergodic states in the ergodic decomposition of the thermal (Gibbs) state. Our...
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Free Groups
Free groups are the free objects in the category of groups: a group F is free if there
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Global solutions to 1D compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and free-boundary
This paper is concerned with the Navier-Stokes/Allen-Cahn system, which is used to model the dynamics of immiscible two-phase flows. We consider a 1D...
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Free group representations from vector-valued multiplicative functions. III
Let π be an irreducible unitary representation of a finitely generated non-abelian free group Γ; suppose π is weakly contained in the regular...
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Quantum Hamiltonian Eigenstates for a Free Transverse Field
It is demonstrated that within the framework of the second quantization, the quantum Hamiltonian operator for a free transverse field reveals an...
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Free Rotations
Let us begin with a summary of the Brauer type results established in the previous chapter.
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Boundary Control of Some Distributed Heterogeneous Vibrating System with Given States at Intermediate Time Instants
AbstractThis paper considers the boundary control problem for a distributed heterogeneous vibrating system described by a one-dimensional wave...
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Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting
A new reformulation of a free boundary problem for the Stokes equations, which govern a viscous flow with an overdetermined condition on the free...
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Decay and Global Well-Posedness of the Free-Boundary Incompressible Euler Equations with Dam**
We consider the free boundary problem for a layer of incompressible fluid lying below the atmosphere and above a rigid bottom in the horizontally...
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Geometry of Gaussian free field sign clusters and random interlacements
For a large class of amenable transient weighted graphs G , we prove that the sign clusters of the Gaussian free field on G fall into a regime of strong...
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Triangularized Orthogonalization-Free Method for Solving Extreme Eigenvalue Problems
A novel orthogonalization-free method together with two specific algorithms is proposed to address extreme eigenvalue problems. On top of...
