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math.DS2025
Constructing bounded orbits of special types on homogeneous spaces
Manfred Einsiedler, Dmitry Kleinbock, Anurag Rao
Let be a quotient of a real Lie group by a non-uniform lattice. Consider a one-parameter subgroup of that is -diagonalizable over …
math.DS2025
Simultaneously bounded and dense orbits for commuting Cartan actions
Dmitry Kleinbock, Chengyang Wu
In this paper we prove that the set of points that have bounded orbits under one regular diagonal flow and dense orbits under the other diagonal flow commuting with the first one h…