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Existence Theorem for Cumulative Universe Towers and Its Applications arxiv.org/abs/2506.21653

Inverse scattering without phase: Carleman convexification and phase retrieval via the Wentzel--Kramers--Brillouin approximation arxiv.org/abs/2506.21699

Genuinely multi-dimensional stationarity preserving global flux Finite Volume formulation for nonlinear hyperbolic PDEs arxiv.org/abs/2506.21700

Conjugate L-Subgroups of an L-group and their Applications to Normality and Normalizer arxiv.org/abs/2506.20692

Control and optimization for Neural Partial Differential Equations in Supervised Learning arxiv.org/abs/2506.20764

Proof of The TAP Free Energy for High-Dimensional Linear Regression with Spherical Priors at All Temperatures arxiv.org/abs/2506.20768

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations arxiv.org/abs/2506.20775

Inverse initial data reconstruction for Maxwell's equations via time-dimensional reduction method arxiv.org/abs/2506.20777

Robust and Flexible Microtransit Design: Chance-Constrained Dial-a-Ride Problem with Soft Time Windows arxiv.org/abs/2506.20788

Finding the Cores of Higher Graphs Using Geometric and Topological Means: A Survey arxiv.org/abs/2506.19857

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