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Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies. (arXiv:2301.08273v1 [math.FA]) arxiv.org/abs/2301.08273

A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. (arXiv:2301.08282v1 [math.NA]) arxiv.org/abs/2301.08282

The necessity of depth for artificial neural networks to approximate certain classes of smooth and bounded functions without the curse of dimensionality. (arXiv:2301.08284v1 [math.NA]) arxiv.org/abs/2301.08284

An approximate unique extension property for completely positive maps. (arXiv:2301.08285v1 [math.OA]) arxiv.org/abs/2301.08285

A Dirichlet-to-Neumann Map for the Allen-Cahn Equation on Manifolds with Boundary. (arXiv:2301.08286v1 [math.DG]) arxiv.org/abs/2301.08286

Polar Coded Merkle Tree: Mitigating Data Availability Attacks in Blockchain Systems Using Informed Polar Code Design. (arXiv:2301.08295v1 [cs.IT]) arxiv.org/abs/2301.08295

On the Centred Hausdorff Measure of the Sierpinski Gasket. (arXiv:2301.08298v1 [math.DS]) arxiv.org/abs/2301.08298

Learning-Rate-Free Learning by D-Adaptation. (arXiv:2301.07733v1 [cs.LG]) arxiv.org/abs/2301.07733

Concurrent normals of immersed manifolds. (arXiv:2301.07742v1 [math.GT]) arxiv.org/abs/2301.07742

Examples of $d-$sets with irregular projection of Hausdorff measures. (arXiv:2301.07744v1 [math.DS]) arxiv.org/abs/2301.07744

A new approach for the Brown-Erdos-Sos problem. (arXiv:2301.07758v1 [math.CO]) arxiv.org/abs/2301.07758

On the well-posedness in Besov-Herz spaces for the inhomogeneous incompressible Euler equations. (arXiv:2301.07765v1 [math.AP]) arxiv.org/abs/2301.07765

Symmetry Classification of Typical Quantum Entanglement. (arXiv:2301.07778v1 [cond-mat.mes-hall]) arxiv.org/abs/2301.07778

Simplicity of the Lie superalgebra of vector fields. (arXiv:2301.07781v1 [math.RA]) arxiv.org/abs/2301.07781

Multiplicity of Solutions and Degenerate Solutions of Yamabe-Type Equations on Projective Spaces. (arXiv:2301.07793v1 [math.DG]) arxiv.org/abs/2301.07793

Systems of Fully Nonlinear Degenerate Elliptic Obstacle problems with Dirichlet boundary conditions. (arXiv:2301.07795v1 [math.AP]) arxiv.org/abs/2301.07795

Parameter Estimation for the Truncated KdV Model through a Direct Filter Method. (arXiv:2301.07797v1 [math.NA]) arxiv.org/abs/2301.07797

A New Family of Fractional Counting Probability Distributions. (arXiv:2301.07100v1 [math.PR]) arxiv.org/abs/2301.07100

On Using Deep Learning Proxies as Forward Models in Deep Learning Problems. (arXiv:2301.07102v1 [cs.LG]) arxiv.org/abs/2301.07102

Large Deviations for Classification Performance Analysis of Machine Learning Systems. (arXiv:2301.07104v1 [cs.LG]) arxiv.org/abs/2301.07104

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