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- W1992070975 abstract "Let <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script upper M> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>M</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>mathcal {M}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a non-elementary convex cocompact hyperbolic <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=3> <mml:semantics> <mml:mn>3</mml:mn> <mml:annotation encoding=application/x-tex>3</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-manifold and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=delta> <mml:semantics> <mml:mi>δ<!-- δ --></mml:mi> <mml:annotation encoding=application/x-tex>delta</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be the critical exponent of its fundamental group. We prove that a one-dimensional unipotent flow for the frame bundle of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script upper M> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>M</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>mathcal {M}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is ergodic for the Burger-Roblin measure if and only if <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=delta greater-than 1> <mml:semantics> <mml:mrow> <mml:mi>δ<!-- δ --></mml:mi> <mml:mo>></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>delta >1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
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- W1992070975 date "2014-06-04" @default.
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- W1992070975 title "Ergodicity of unipotent flows and Kleinian groups" @default.
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