Almost every point on affine subspaces in horospheres is Birkhoff generic except in cases of high Diophantine exponent or approximability by number-field subspaces.
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An effective multi-equidistribution result for diagonal translates of unipotent flows is established, yielding a central limit theorem in inhomogeneous Diophantine approximation for non-Liouville shifts.
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Birkhoff genericity on affine subspaces in horospheres
Almost every point on affine subspaces in horospheres is Birkhoff generic except in cases of high Diophantine exponent or approximability by number-field subspaces.
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Effective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximation
An effective multi-equidistribution result for diagonal translates of unipotent flows is established, yielding a central limit theorem in inhomogeneous Diophantine approximation for non-Liouville shifts.