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- W2964340937 abstract "We study the family of holomorphic maps from the polydisk to the disk which restrict to the identity on the diagonal. In particular, we analyze the asymptotics of the orbit of such a map under the conjugation action of a unipotent subgroup of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper P upper S upper L 2 left-parenthesis double-struck upper R right-parenthesis> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>PSL</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mo><!-- --></mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>operatorname {PSL}_2(mathbb {R})</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We discuss an application of our results to the study of the Carathéodory metric on Teichmüller space." @default.
- W2964340937 created "2019-07-30" @default.
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- W2964340937 date "2019-02-04" @default.
- W2964340937 modified "2023-10-16" @default.
- W2964340937 title "Asymptotics of the translation flow on holomorphic maps out of the poly-plane" @default.
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- W2964340937 doi "https://doi.org/10.1090/ecgd/330" @default.
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