Some aspects of the Laplace operator in negative curvature
Ursula Hamenstädt (1991)
Séminaire de théorie spectrale et géométrie
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Ursula Hamenstädt (1991)
Séminaire de théorie spectrale et géométrie
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Ursula Hamenstädt (1994-1995)
Séminaire de théorie spectrale et géométrie
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Kharazishvili, A. (2002)
Georgian Mathematical Journal
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Ryszard Rudnicki (1991)
Annales Polonici Mathematici
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We construct a transformation T:[0,1] → [0,1] having the following properties: 1) (T,|·|) is completely mixing, where |·| is Lebesgue measure, 2) for every f∈ L¹ with ∫fdx = 1 and φ ∈ C[0,1] we have , where μ is the cylinder measure on the standard Cantor set, 3) if φ ∈ C[0,1] then for Lebesgue-a.e. x.
Stefano Francaviglia (2009)
Annales de l’institut Fourier
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We show that if is a discrete subgroup of the group of the isometries of , and if is a representation of into the group of the isometries of , then any -equivariant map extends to the boundary in a weak sense in the setting of Borel measures. As a consequence of this fact, we obtain an extension of a result of Besson, Courtois and Gallot about the existence of volume non-increasing, equivariant maps. Then, we show that the weak extension we obtain is actually a measurable...
David Ruelle (1978)
Publications Mathématiques de l'IHÉS
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Grzegorz Plebanek (1996)
Colloquium Mathematicae
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Taro Asuke (2010)
Annales de l’institut Fourier
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A Fatou-Julia decomposition of transversally holomorphic foliations of complex codimension one was given by Ghys, Gomez-Mont and Saludes. In this paper, we propose another decomposition in terms of normal families. Two decompositions have common properties as well as certain differences. It will be shown that the Fatou sets in our sense always contain the Fatou sets in the sense of Ghys, Gomez-Mont and Saludes and the inclusion is strict in some examples. This property is important when...