Flows on homogeneous spaces
WebMar 2, 2016 · Flows on Homogeneous Spaces. (AM-53), Volume 53. Louis Auslander. 30% off with code PUP30. Paperback ISBN: 9780691079639 $60.00/£50.00 ebook ISBN: 9781400882024 Available … WebAug 29, 2024 · Shrinking target problems for flows on homogeneous spaces. August 2024; Transactions ... We study shrinking targets problems for discrete time flows on a homogenous space $\Gamma\backslash G$ with ...
Flows on homogeneous spaces
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WebThe purpose of this paper is to find further examples of integrable geodesic flows. For this it seems reasonable to consider manifolds with large isometry groups, in particular … WebFLOWS ON HOMOGENEOUS SPACES D. Y. Kleinbock and G. A. Margulis Yale University Abstract. Let fgtgbe a nonquasiunipotent one-parameter subgroup of a connected …
WebJul 29, 2015 · We develop a general approach to study geometric flows on homogeneous spaces. Our main tool will be a dynamical system defined on the variety of Lie algebras …
WebJSTOR Home WebMar 1, 1991 · The theorems of M. Ratner, describing the finite ergodic invariant measures and the orbit closures for unipotent flows on homogeneous spaces of Lie groups, are extended for actions of subgroups ...
WebApr 1, 2024 · This paper is intended as an attempt to motivate the use of the method on homogeneous spaces for any flow of geometric structures under minimal natural assumptions. As a novel application, we find ...
WebIn mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non-empty manifold or topological … small accounting firms melbourneWebJan 23, 1997 · FLOWS ON HOMOGENEOUS SPACES 343 Proposition 3.4 for a precise statement) we show that if yo = f(xo) is nonde-generate, xo has a neighborhood on which linear combinations of 1, f1, . . ., fn behave like polynomials of uniformly bounded degree. Then in Sections 4 and 5 we modify the argument of Margulis and Dani in order to get a … small account bookWebclasses of subsets Z of the homogeneous space G/Γ, the set of points in G/Γ with F-orbits staying away from Z has full Hausdorff dimension. From this we derive applications to geodesic flows on manifolds of constant negative curvature. Introduction Given a dynamical system with phase space X and a fixed subset Z of X, small accounting businessWebNov 6, 2024 · This chapter is devoted to homogeneous spaces and homogeneous Riemannian manifolds. We discuss transitive isometry groups for a given homogeneous Riemannian manifold and topological properties of homogeneous spaces. ... It is proved that such a flow on any symmetric space is free or induced by a free isometric action of … solid greenish tanWebApr 14, 2024 · Complex living agents consist of cells, which are themselves competent sub-agents navigating physiological and metabolic spaces. Behaviour science, evolutionary developmental biology and the field of machine intelligence all seek to understand the scaling of biological cognition: what enables individual cells to integrate their activities to … small accounting packagesWebgroups on (locally) homogeneous spaces(1) nG. A prototypical example of such an action is the action of the group of determinant one diagonal matrices Aon the space of lattices in Rn with covolume one for n 3 which can be identi ed with the quotient space SL(n;Z)nSL(n;R). More speci cally, we consider the problem small accounting practice management softwareWebOct 6, 1998 · Dmitry Kleinbock, Gregory Margulis. We present a new approach to metric Diophantine approximation on manifolds based on the correspondence between approximation properties of numbers and orbit properties of certain flows on homogeneous spaces. This approach yields a new proof of a conjecture of Mahler, … solid green 8x10 area rug