Stochastic Gradient Descent in Non-Convex Problems: Asymptotic Convergence with Relaxed Step-Size via Stopping Time Methods

On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow

From Sequential Decoding to Polar Coding: A Computational Perspective

Approximation States and Fixed Points of Quantum Channels

Learnable Regularization and Its Applications in Accelerated MRI

Tautological relations and its applications on Hodge integrals

Incipient Infinite Clusters in Metric Graph Gaussian Free Fields

One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension

Asymptotic stability of the sine-Gordon kink outside symmetry-(I)

广义表面拟地转方程（gSQG）的适定性