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math.DS2020
Limit theorems for higher rank actions on Heisenberg nilmanifolds
Minsung Kim
The main result of this paper is a construction of finitely additive measures for higher rank abelian actions on Heisenberg nilmanifolds. Under a full measure set of Diophantine co…
math.DS2020★ 1 cited
Effective equidistribution for generalized higher step nilflows
Minsung Kim
The main results of this paper are to prove bounds for ergodic averages for nilflows on general higher step nilmanifolds. Under Diophantine condition on the frequency of a toral pr…