Consider the linear transport equation in 1D under an external confining potential
For
For any finite horizon Sinai billiard map
Consider the linear transport equation in 1D under an external confining potential
For
This paper studies a family of generalized surface quasi-geostrophic (SQG) equations for an active scalar
Stochastic differential games have been used extensively to model agents' competitions in finance, for instance, in P2P lending platforms from the Fintech industry, the banking system for systemic risk, and insurance markets. The recently proposed machine learning algorithm, deep fictitious play, provides a novel and efficient tool for finding Markovian Nash equilibrium of large
We establish an instantaneous smoothing property for decaying solutions on the half-line
We study the convergence rate of a continuous-time simulated annealing process