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Titlebook: Dynamics of Foliations, Groups and Pseudogroups; Paweł Walczak Book 2004 Springer Basel AG 2004 Blätterungen.Gruppen.Pseudogruppen.dynamis

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The Foreign Policy Election That Wasn’t.6, we show how measures invariant under the geodesic flow of a foliation can be applied to the proof of the implication “if no resilient leaves, then vanishing entropy” for arbitrary codimension-one C.-foliations. This interesting idea is due to Hurder, was originated at the very beginning of the t
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The Foreign Policy Election That Wasn’ttimation) of entropies of groups, pseudogroups and foliations. Finally, Section 4 is devoted to the study of topology of generic, with respect to any harmonic measure, leaves. Following Ghys [.] we show that there are just six topological types of such leaves in dimension 2.
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The Foreign Policy Election That Wasn’tes on transversals invariant under holonomy maps. The study of such measures (called transverse invariant ones) was inaugurated by J. Plante [.] who has shown that the existence of such measures has some influence on the topology of a foliated manifold and is related to the growth types of leaves. S
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The Foreign Policy Election That Wasn’t of various notions of dimensions, usually as sets or spaces with non-integer dimension. The most classical notion of dimension is due to Hausdorff [.], see [.] and [.] for a modern exposition. Here, we calculate or estimate the Hausdorff dimension of several fractal-like sets which appear, for inst
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The Foreign Policy Election That Wasn’tllow beautiful ideas due to Attie and Hurder [.] who have shown that geometry of Riemannian manifolds quasi-isometric to leaves on compact foliated manifolds cannot be very chaotic in the sense that, on such a manifold, the maximal number of non-quasiisometric pieces of a given radius grows at most
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