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math.DS2021
Polynomial averages and pointwise ergodic theorems on nilpotent groups
Alexandru D. Ionescu, Ákos Magyar, Mariusz Mirek +1
We establish pointwise almost everywhere convergence for ergodic averages along polynomial sequences in nilpotent groups of step two of measure-preserving transformations on -fi…
math.AP2021★ 15 cited
Linear vortex symmetrization: the spectral density function
Alexandru D. Ionescu, Hao Jia
We investigate solutions of the 2d incompressible Euler equations, linearized around steady states which are radially decreasing vortices. Our main goal is to understand the smooth…