279 citations · 328 across the 7 of their papers we have counts for
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math.DS2021★ 1 cited
New phenomena in deviation of Birkhoff integrals for locally Hamiltonian flows
Krzysztof Frączek, Minsung Kim
We consider smooth locally Hamiltonian flows on compact surfaces of genus to prove their deviation of Birkhoff integrals for smooth observables. Our work generalizes resu…
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…